Last update: Mon Aug 26 12:51:12 MDT 2024
Volume 1, Number 1, 2002Claudia Wulff and Mark Roberts Hamiltonian Systems Near Relative Periodic Orbits . . . . . . . . . . . . 1--43 Darryl D. Holm and Peter Lynch Stepwise Precession of the Resonant Swinging Spring . . . . . . . . . . . . 44--64 Arjen Doelman and Harmen van der Ploeg Homoclinic Stripe Patterns . . . . . . . 65--104 John Guckenheimer and Ricardo A. Oliva Chaos in the Hodgkin--Huxley Model . . . 105--114 Kathleen A. Hoffman and Robert S. Manning and Randy C. Paffenroth Calculation of the Stability Index in Parameter-Dependent Calculus of Variations Problems: Buckling of a Twisted Elastic Strut . . . . . . . . . 115--145 Jonathan Rubin and David Terman Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators . . . . . . . . 146--174
Wen-Wei Lin and Yi-Qian Wang Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions . . . . . . . . . . . . . . . 175--189 Nawaf M. Bou-Rabee and Louis A. Romero and Andrew G. Salinger A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid . . . . . . . . . . . . 190--214 Piotr Zgliczynski Attracting Fixed Points for the Kuramoto--Sivashinsky Equation: a Computer Assisted Proof . . . . . . . . 215--235 Arik Yochelis and Aric Hagberg and Ehud Meron and Anna L. Lin and Harry L. Swinney Development of Standing-Wave Labyrinthine Patterns . . . . . . . . . 236--247 Jan Sieber Numerical Bifurcation Analysis for Multisection Semiconductor Lasers . . . 248--270 C. Eugene Wayne and J. Douglas Wright Higher Order Modulation Equations for a Boussinesq Equation . . . . . . . . . . 271--302
John Guckenheimer and Kathleen Hoffman and Warren Weckesser The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations . . . . . 1--35 George W. Patrick Stability by KAM Confinement of Certain Wild, Nongeneric Relative Equilibria of Underwater Vehicles with Coincident Centers of Mass and Buoyancy . . . . . . 36--52 Arjen Doelman and Tasso J. Kaper Semistrong Pulse Interactions in a Class of Coupled Reaction--Diffusion Equations 53--96
Martin Golubitsky and Lie June Shiau and Andrei Török Bifurcation on the Visual Cortex with Weakly Anisotropic Lateral Coupling . . 97--143 John T. Betts and Sven O. Erb Optimal Low Thrust Trajectories to the Moon . . . . . . . . . . . . . . . . . . 144--170 J. A. C. Weideman Computing the Dynamics of Complex Singularities of Nonlinear PDEs . . . . 171--186 R. M. Ghigliazza and R. Altendorfer and P. Holmes and D. Koditschek A Simply Stabilized Running Model . . . 187--218 Josep M. Cors and Glen R. Hall Coorbital Periodic Orbits in the Three Body Problem . . . . . . . . . . . . . . 219--237 Shandelle M. Henson and James R. Reilly and Suzanne L. Robertson and Matthew C. Schu and Eric W. D. Rozier and J. M. Cushing Predicting Irregularities in Population Cycles . . . . . . . . . . . . . . . . . 238--253 Kirk Green and Bernd Krauskopf and Giovanni Samaey A Two-Parameter Study of the Locking Region of a Semiconductor Laser Subject to Phase-Conjugate Feedback . . . . . . 254--276
Michael Schanz and Axel Pelster Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation . . . . . . . . . . . . 277--296 William Ott and James A. Yorke Learning about Reality from Observation 297--322 Darryl D. Holm and Martin F. Staley Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs . . . . . 323--380 R. C. Fetecau and J. E. Marsden and M. Ortiz and M. West Nonsmooth Lagrangian Mechanics and Variational Collision Integrators . . . 381--416 James Montaldi and Anik Souli\`ere and Tadashi Tokieda Vortex Dynamics on a Cylinder . . . . . 417--430 Suncica Canic and Andro Mikelic Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries . . 431--463 Dirk Blömker Amplitude Equations for Locally Cubic Nonautonomous Nonlinearities . . . . . . 464--486 Carlo R. Laing and William C. Troy PDE Methods for Nonlocal Models . . . . 487--516
Roberto De Leo Numerical Analysis of the Novikov Problem of a Normal Metal in a Strong Magnetic Field . . . . . . . . . . . . . 517--545 Bernd Krauskopf and Hinke M. Osinga Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields 546--569 Katherine Bold and Chantal Edwards and John Guckenheimer and Sabyasachi Guharay and Kathleen Hoffman and Judith Hubbard and Ricardo Oliva and Warren Weckesser The Forced van der Pol Equation II: Canards in the Reduced System . . . . . 570--608 Ian Stewart and Martin Golubitsky and Marcus Pivato Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks . . . 609--646 John B. Geddes and Willie J. Firth and Kelly Black Pulse Dynamics in an Actively Mode-Locked Laser . . . . . . . . . . . 647--671
Björn Sandstede and Arnd Scheel Defects in Oscillatory Media: Toward a Classification . . . . . . . . . . . . . 1--68 Colin J. Cotter and Jason Frank and Sebastian Reich Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation 69--83
W.-J. Beyn and V. Thümmler Freezing Solutions of Equivariant Evolution Equations . . . . . . . . . . 85--116 S. Day and O. Junge and K. Mischaikow A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems . . . . . . . 117--160 J. P. England and B. Krauskopf and H. M. Osinga Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse . . . . . . . . . . 161--190
Rodica Curtu and Bard Ermentrout Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation . . . . . . . . . . . . . . . 191--231 John Guckenheimer and Alexander Vladimirsky A Fast Method for Approximating Invariant Manifolds . . . . . . . . . . 232--260 K. Efstathiou and D. A. Sadovskii and B. I. Zhilinskii Analysis of Rotation--Vibration Relative Equilibria on the Example of a Tetrahedral Four Atom Molecule . . . . . 261--351 Nawaf M. Bou-Rabee and Jerrold E. Marsden and Louis A. Romero Tippe Top Inversion as a Dissipation-Induced Instability . . . . 352--377 Stefanos E. Folias and Paul C. Bressloff Breathing Pulses in an Excitatory Neural Network . . . . . . . . . . . . . . . . 378--407
H. Scott Dumas and James A. Ellison and Mathias Vogt First-Order Averaging Principles for Maps with Applications to Accelerator Beam Dynamics . . . . . . . . . . . . . 409--432 A. J. Roberts Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible . . . . . . . . . 433--462 María Higuera and Hermann Riecke and Mary Silber Near-Resonant Steady Mode Interaction: Periodic, Quasi-periodic, and Localized Patterns . . . . . . . . . . . . . . . . 463--502 M. E. Alexander and C. Bowman and S. M. Moghadas and R. Summers and A. B. Gumel and B. M. Sahai A Vaccination Model for Transmission Dynamics of Influenza . . . . . . . . . 503--524 Anna Litvak-Hinenzon and Vered Rom-Kedar On Energy Surfaces and the Resonance Web 525--573 S. Coombes and M. R. Owen Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function . . . . . . . . . . . . . 574--600 P. van den Driessche and M. L. Zeeman Disease Induced Oscillations between Two Competing Species . . . . . . . . . . . 601--619 Tian Ma and Jungho Park and Shouhong Wang Dynamic Bifurcation of the Ginzburg--Landau Equation . . . . . . . 620--635 R. M. Ghigliazza and P. Holmes Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams 636--670 R. M. Ghigliazza and P. Holmes A Minimal Model of a Central Pattern Generator and Motoneurons for Insect Locomotion . . . . . . . . . . . . . . . 671--700 K. Kunisch and S. Volkwein and L. Xie HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems 701--722
Sarah Day and Yasuaki Hiraoka and Konstantin Mischaikow and Toshiyuki Ogawa Rigorous Numerics for Global Dynamics: a Study of the Swift--Hohenberg Equation 1--31 Stella Abreu and Philip Aston and Ian Melbourne Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square . . . . . . . . . . . . . . 32--52 Kresimir Josic and Jonathan Rubin Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems . . . . . . . . . . . . . . . . 53--77 Martin Golubitsky and Ian Stewart and Andrei Török Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows . . . . . 78--100 Martin Wechselberger Existence and Bifurcation of Canards in $ \mathbb {R}^3 $ in the Case of a Folded Node . . . . . . . . . . . . . . 101--139 Gianne Derks and Georg A. Gottwald A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves . . . . . . . . . . . . . . . . . 140--158 P. Mullowney and K. Julien and J. D. Meiss Blinking Rolls: Chaotic Advection in a Three-Dimensional Flow with an Invariant 159--186 Benedict J. Leimkuhler and Christopher R. Sweet A Hamiltonian Formulation for Recursive Multiple Thermostats in a Common Timescale . . . . . . . . . . . . . . . 187--216
Yixin Guo and Carson C. Chow Existence and Stability of Standing Pulses in Neural Networks: I. Existence 217--248 Yixin Guo and Carson C. Chow Existence and Stability of Standing Pulses in Neural Networks: II. Stability 249--281 Sanjeeva Balasuriya Direct Chaotic Flux Quantification in Perturbed Planar Flows: General Time-Periodicity . . . . . . . . . . . . 282--311 Laurent Pujo-Menjouet and Samuel Bernard and Michael C. Mackey Long Period Oscillations in a $ G_0 $ Model of Hematopoietic Stem Cells . . . 312--332 Maria Landry and Sue Ann Campbell and Kirsten Morris and Cesar O. Aguilar Dynamics of an Inverted Pendulum with Delayed Feedback Control . . . . . . . . 333--351 Jeff Moehlis and Holger Faisst and Bruno Eckhardt Periodic Orbits and Chaotic Sets in a Low-Dimensional Model for Shear Flows 352--376 John Etnyre and Robert Ghrist Generic Hydrodynamic Instability of Curl Eigenfields . . . . . . . . . . . . . . 377--390 Wael Bahsoun and Pawel Góra and Abraham Boyarsky Markov Switching for Position Dependent Random Maps with Application to Forecasting . . . . . . . . . . . . . . 391--406 V. S. Gonchenko and Yu. A. Kuznetsov and H. G. E. Meijer Generalized Hénon Map and Bifurcations of Homoclinic Tangencies . . . . . . . . . 407--436 Peter Ashwin and Arek Goetz Invariant Curves and Explosion of Periodic Islands in Systems of Piecewise Rotations . . . . . . . . . . . . . . . 437--458
Frank Schilder and Hinke M. Osinga and Werner Vogt Continuation of Quasi-periodic Invariant Tori . . . . . . . . . . . . . . . . . . 459--488 Daniel Wilczak Symmetric Heteroclinic Connections in the Michelson System: a Computer Assisted Proof . . . . . . . . . . . . . 489--514 H. R. Dullin and J. D. Meiss and D. G. Sterling Symbolic Codes for Rotational Orbits . . 515--562 P. F. Tupper Ergodicity and the Numerical Simulation of Hamiltonian Systems . . . . . . . . . 563--587 Carlo R. Laing Spiral Waves in Nonlocal Equations . . . 588--606 A. Huber and P. Szmolyan Geometric Singular Perturbation Analysis of the Yamada Model . . . . . . . . . . 607--648 C. J. Budd and V. Rottschäfer and J. F. Williams Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg--Landau Equation . . . . . . . 649--678 Bradford E. Peercy and James P. Keener Coupled Cell Model of Border Zone Arrhythmias . . . . . . . . . . . . . . 679--710 C. W. Gear and T. J. Kaper and I. G. Kevrekidis and A. Zagaris Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes . . . . . . . . . . . . . . . . . 711--732 Yasumasa Nishiura and Daishin Ueyama and Tatsuo Yanagita Chaotic Pulses for Discrete Reaction Diffusion Systems . . . . . . . . . . . 733--754 Kate A. Abell and Christopher E. Elmer and A. R. Humphries and Erik S. Van Vleck Computation of Mixed Type Functional Differential Boundary Value Problems . . 755--781
Mason A. Porter and P. G. Kevrekidis Bose--Einstein Condensates in Superlattices . . . . . . . . . . . . . 783--807 Sarah E. Hewitt and J. Nathan Kutz Dynamics of the Optical Parametric Oscillator Near Resonance Detuning . . . 808--831 Michael E. Henderson Computing Invariant Manifolds by Integrating Fat Trajectories . . . . . . 832--882 Shengfan Zhou and Fuqi Yin and Zigen Ouyang Random Attractor for Damped Nonlinear Wave Equations with White Noise . . . . 883--903 Wentao Sun and Michael J. Ward and Robert Russell The Slow Dynamics of Two-Spike Solutions for the Gray--Scott and Gierer--Meinhardt Systems: Competition and Oscillatory Instabilities . . . . . 904--953 David J. Pinto and Russell K. Jackson and C. Eugene Wayne Existence and Stability of Traveling Pulses in a Continuous Neuronal Network 954--984 Thorsten Hüls Bifurcation of Connecting Orbits with One Nonhyperbolic Fixed Point for Maps 985--1007 J. P. England and B. Krauskopf and H. M. Osinga Computing One-Dimensional Global Manifolds of Poincaré Maps by Continuation . . . . . . . . . . . . . . 1008--1041 Vanessa López and Philip Boyland and Michael T. Heath and Robert D. Moser Relative Periodic Solutions of the Complex Ginzburg--Landau Equation . . . 1042--1075 R. D. Eyres and P. T. Piiroinen and A. R. Champneys and N. A. J. Lieven Grazing Bifurcations and Chaos in the Dynamics of a Hydraulic Damper with Relief Valves . . . . . . . . . . . . . 1076--1106 Janet Best and Alla Borisyuk and Jonathan Rubin and David Terman and Martin Wechselberger The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network . . . . . 1107--1139 Pascal Chossat and Nawaf M. Bou-Rabee The Motion of the Spherical Pendulum Subjected to a $ D_n $ Symmetric Perturbation . . . . . . . . . . . . . . 1140--1158 Takahiro Ueda and Ken Sasaki and Shinsuke Watanabe Motion of the Tippe Top: Gyroscopic Balance Condition and Stability . . . . 1159--1194 Roy H. Goodman and Richard Haberman Kink-Antikink Collisions in the $ \phi^4 $ Equation: The $n$-Bounce Resonance and the Separatrix Map . . . . . . . . . . . 1195--1228
Eduardo Sáez and Eduardo Stange and Iván Szántó Simultaneous Zip Bifurcation and Limit Cycles in Three Dimensional Competition Models . . . . . . . . . . . . . . . . . 1--11 Jesús F. Palacián and Patricia Yanguas and Susana Gutiérrez-Romero Approximating the Invariant Sets of a Finite Straight Segment near Its Collinear Equilibria . . . . . . . . . . 12--29 Hartmut Erzgräber and Bernd Krauskopf and Daan Lenstra Compound Laser Modes of Mutually Delay-Coupled Lasers . . . . . . . . . . 30--65 Marina Chugunova and Dmitry Pelinovsky Block-Diagonalization of the Symmetric First-Order Coupled-Mode System . . . . 66--83 Pawel Góra and Abraham Boyarsky and MD Shafiqul Islam and Wael Bahsoun Absolutely Continuous Invariant Measures that Cannot be Observed Experimentally 84--90 Delin Chu and Moody Chu Reachable Matrices by a QR Step with Shift . . . . . . . . . . . . . . . . . 91--107 Christina Ambrosio-Mouser and Farzan Nadim and Amitabha Bose The Effects of Varying the Timing of Inputs on a Neural Oscillator . . . . . 108--139 Daniel J. Stilwell and Erik M. Bollt and D. Gray Roberson Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies . . . . . . . . . . . . . . . 140--156 Paul Wheeler and Dwight Barkley Computation of Spiral Spectra . . . . . 157--177
Kevin K. Lin Entrainment and Chaos in a Pulse-Driven Hodgkin--Huxley Oscillator . . . . . . . 179--204 Toby Elmhirst and Martin Golubitsky Nilpotent Hopf Bifurcations in Coupled Cell Systems . . . . . . . . . . . . . . 205--251 F. Gabern and W. S. Koon and J. E. Marsden and D. J. Scheeres Binary Asteroid Observation Orbits from a Global Dynamical Perspective . . . . . 252--279 Zin Arai and Konstantin Mischaikow Rigorous Computations of Homoclinic Tangencies . . . . . . . . . . . . . . . 280--292 Frans Jacobs and Sebastian J. Schreiber Random Perturbations of Dynamical Systems with Absorbing States . . . . . 293--312 Theodore Kolokolnikov and Wentao Sun and Michael Ward and Juncheng Wei The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation . . . . . . . . . . . . . 313--363
T. MacKenzie and A. J. Roberts Accurately Model the Kuramoto--Sivashinsky Dynamics with Holistic Discretization . . . . . . . . 365--402 D. Barkley and I. G. Kevrekidis and A. M. Stuart The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments . . 403--434 Claudia Wulff and Andreas Schebesch Numerical Continuation of Symmetric Periodic Orbits . . . . . . . . . . . . 435--475 John M. Neuberger and Nándor Sieben and James W. Swift Symmetry and Automated Branch Following for a Semilinear Elliptic PDE on a Fractal Region . . . . . . . . . . . . . 476--507 Fatihcan M. Atay and Özkan Karabacak Stability of Coupled Map Networks with Delays . . . . . . . . . . . . . . . . . 508--527
Jonathan D. Drover and G. Bard Ermentrout Phase Boundaries as Electrically Induced Phosphenes . . . . . . . . . . . . . . . 529--551 Carson C. Chow and S. Coombes Existence and Wandering of Bumps in a Spiking Neural Network Model . . . . . . 552--574 Russell K. Jackson Pulses in Nonlinearly Coupled Schrödinger Equations I. A Homoclinic Flip Bifurcation . . . . . . . . . . . . . . 575--597 Todd Kapitula and P. G. Kevrekidis and Zhigang Chen Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells . . . . . . . . . . . . 598--633 Jens D. M. Rademacher Geometric Relations of Absolute and Essential Spectra of Wave Trains . . . . 634--649 Juan B. Melli and Clarence W. Rowley and Dzhelil S. Rufat Motion Planning for an Articulated Body in a Perfect Planar Fluid . . . . . . . 650--669 Fatihcan M. Atay and Axel Hutt Neural Fields with Distributed Transmission Speeds and Long-Range Feedback Delays . . . . . . . . . . . . 670--698 T. W. Carr and I. B. Schwartz and Min-Young Kim and Rajarshi Roy Delayed-Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances . . 699--725 Robert I. McLachlan and Stephen R. Marsland The Kelvin--Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms . . . . . . . 726--758 Adela N. Comanici Transition from Rotating Waves to Modulated Rotating Waves on the Sphere 759--782 J. Vanneste Wave Radiation by Balanced Motion in a Simple Model . . . . . . . . . . . . . . 783--807
Hartmut Erzgräber and Bernd Krauskopf and Daan Lenstra Bifurcation Analysis of a Semiconductor Laser with Filtered Optical Feedback . . 1--28 Jian Xu and Kwok-Wai Chung and Chuen-Lit Chan An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks 29--60 Vijay Chickarmane and Animesh Ray and Herbert M. Sauro and Ali Nadim A Model for p53 Dynamics Triggered by DNA Damage . . . . . . . . . . . . . . . 61--78 Matthew D. Finn and Jean-Luc Thiffeault Topological Entropy of Braids on the Torus . . . . . . . . . . . . . . . . . 79--98 G. Derks and A. Doelman and S. A. van Gils and H. Susanto Stability Analysis of $ \pi $-Kinks in a $0$-$ \pi $ Josephson Junction . . . . . 99--141 A. Haro and R. de la Llave A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity . . . . . . . 142--207 L. A. Peletier and J. F. Williams Some Canonical Bifurcations in the Swift--Hohenberg Equation . . . . . . . 208--235 Richard Kollár and Arnd Scheel Coherent Structures Generated by Inhomogeneities in Oscillatory Media . . 236--262 William C. Troy and Vladimir Shusterman Patterns and Features of Families of Traveling Waves in Large-Scale Neuronal Networks . . . . . . . . . . . . . . . . 263--292
Chunyou Sun and Daomin Cao and Jinqiao Duan Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping 293--318 Anna Ghazaryan and Björn Sandstede Nonlinear Convective Instability of Turing-Unstable Fronts near Onset: a Case Study . . . . . . . . . . . . . . . 319--347 Shinya Aoi and Hitoshi Sasaki and Kazuo Tsuchiya A Multilegged Modular Robot That Meanders: Investigation of Turning Maneuvers Using Its Inherent Dynamic Characteristics . . . . . . . . . . . . 348--377 Caroline Colijn and Michael C. Mackey Bifurcation and Bistability in a Model of Hematopoietic Regulation . . . . . . 378--394 Ian Falconer and Georg A. Gottwald and Ian Melbourne and Kjetil Wormnes Application of the $0$-$1$ Test for Chaos to Experimental Data . . . . . . . 395--402 Bernd Krauskopf and Hinke M. Osinga and Bruce B. Peckham Unfolding the Cusp-Cusp Bifurcation of Planar Endomorphisms . . . . . . . . . . 403--440 Frédérique Clément and Jean-Pierre Françoise Mathematical Modeling of the GnRH Pulse and Surge Generator . . . . . . . . . . 441--456 Joshua A. Tempkin and James A. Yorke Spurious Lyapunov Exponents Computed from Data . . . . . . . . . . . . . . . 457--474 Constantin-Irinel Mor\uarescu and Silviu-Iulian Niculescu and Keqin Gu Stability Crossing Curves of Shifted Gamma-Distributed Delay Systems . . . . 475--493 Björn Sandstede and Arnd Scheel Period-Doubling of Spiral Waves and Defects . . . . . . . . . . . . . . . . 494--547
Prashant G. Mehta and Gregory Hagen and Andrzej Banaszuk Symmetry and Symmetry-Breaking for a Wave Equation with Feedback . . . . . . 549--575 Shane D. Ross and Daniel J. Scheeres Multiple Gravity Assists, Capture, and Escape in the Restricted Three-Body Problem . . . . . . . . . . . . . . . . 576--596 Linghai Zhang How Do Synaptic Coupling and Spatial Temporal Delay Influence Traveling Waves in Nonlinear Nonlocal Neuronal Networks? 597--644 H. De Sterck Critical Point Analysis of Transonic Flow Profiles with Heat Conduction . . . 645--662
Alan R. Champneys and Vivien Kirk and Edgar Knobloch and Bart E. Oldeman and James Sneyd When Shil'nikov Meets Hopf in Excitable Systems . . . . . . . . . . . . . . . . 663--693 John B. Geddes and Russell T. Carr and Nathaniel J. Karst and Fan Wu The Onset of Oscillations in Microvascular Blood Flow . . . . . . . . 694--727 Peter Ashwin and Gábor Orosz and John Wordsworth and Stuart Townley Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators 728--758
E. Barrabés and J. M. Cors and C. Pinyol and J. Soler $ J_2 $ Effect and Elliptic Inclined Periodic Orbits in the Collision Restricted Three-Body Problem . . . . . 1--17 Gustavo Osorio and Mario di Bernardo and Stefania Santini Corner-Impact Bifurcations: a Novel Class of Discontinuity-Induced Bifurcations in Cam-Follower Systems . . 18--38 MingQing Xiao Quantitative Characteristic of Rotating Stall and Surge for Moore--Greitzer PDE Model of an Axial Flow Compressor . . . 39--62 D. M. Winterbottom and S. M. Cox and P. C. Matthews Pattern Formation in a Model of a Vibrated Granular Layer . . . . . . . . 63--78 Fritz Colonius and Tobias Gayer and Wolfgang Kliemann Near Invariance for Markov Diffusion Systems . . . . . . . . . . . . . . . . 79--107 Wenwu Yu and Jinde Cao and Jinhu Lü Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay . . . . . . . . . . . 108--133 Mark Verwoerd and Oliver Mason Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators 134--160 Zachary P. Kilpatrick and Stefanos E. Folias and Paul C. Bressloff Traveling Pulses and Wave Propagation Failure in Inhomogeneous Neural Media 161--185 J. H. P. Dawes Localized Pattern Formation with a Large-Scale Mode: Slanted Snaking . . . 186--206 Mario Castro and Grant Lythe Numerical Experiments on Noisy Chains: From Collective Transitions to Nucleation-Diffusion . . . . . . . . . . 207--219 Fernando Antoneli and Ana Paula S. Dias and Rui C. Paiva Hopf Bifurcation in Coupled Cell Networks with Interior Symmetries . . . 220--248
Tomá\vs Dohnal and Dmitry Pelinovsky Surface Gap Solitons at a Nonlinearity Interface . . . . . . . . . . . . . . . 249--264 V. A. Volpert and A. A. Nepomnyashchy and L. G. Stanton and A. A. Golovin Bounded Solutions of Nonlocal Complex Ginzburg--Landau Equations for a Subcritical Bifurcation . . . . . . . . 265--283 Abdul-Aziz Yakubu Asynchronous and Synchronous Dispersals in Spatially Discrete Population Models 284--310 Patricia Yanguas and Jesús F. Palacián and Kenneth R. Meyer and H. Scott Dumas Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem . . . . . . . . . . . . . . . . 311--340 Erik Bollt and Pawe Góra and Andrzej Ostruszka and Karol \.Zyczkowski Basis Markov Partitions and Transition Matrices for Stochastic Systems . . . . 341--360 Martin Krupa and Nikola Popovi\'c and Nancy Kopell Mixed-Mode Oscillations in Three Time-Scale Systems: a Prototypical Example . . . . . . . . . . . . . . . . 361--420 Ali Deniz and Judy Kennedy and ahin Koçak and Andrei V. Ratiu and Cevat Üstün and James A. Yorke Chaotic $n$-Dimensional Euclidean and Hyperbolic Open Billiards and Chaotic Spinning Planar Billiards . . . . . . . 421--436 Lyle Noakes Asymptotics of Null Lie Quadratics in $ E^3 $ . . . . . . . . . . . . . . . . . 437--460 Johannes Gerhard and Wolfgang Marquardt and Martin Mönnigmann Normal Vectors on Critical Manifolds for Robust Design of Transient Processes in the Presence of Fast Disturbances . . . 461--490 Fatma Gürel Kazanci and Bard Ermentrout Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators 491--509 Gabriella Bretti and Benedetto Piccoli A Tracking Algorithm for Car Paths on Road Networks . . . . . . . . . . . . . 510--531 Illia Horenko and Evelyn Dittmer and Filip Lankas and John Maddocks and Philipp Metzner and Christof Schütte Macroscopic Dynamics of Complex Metastable Systems: Theory, Algorithms, and Application to B-DNA . . . . . . . . 532--560 Jaume Llibre and Rafael Ortega On the Families of Periodic Orbits of the Sitnikov Problem . . . . . . . . . . 561--576 Wolf-Jürgen Beyn and Sabrina Selle and Vera Thümmler Freezing Multipulses and Multifronts . . 577--608 Rodica Curtu and Asya Shpiro and Nava Rubin and John Rinzel Mechanisms for Frequency Control in Neuronal Competition Models . . . . . . 609--649
J. Burke and A. Yochelis and E. Knobloch Classification of Spatially Localized Oscillations in Periodically Forced Dissipative Systems . . . . . . . . . . 651--711 Clare M. Lee and Pieter J. Collins and Bernd Krauskopf and Hinke M. Osinga Tangency Bifurcations of Global Poincaré Maps . . . . . . . . . . . . . . . . . . 712--754 Jonq Juang and Yu-Hao Liang Synchronous Chaos in Coupled Map Lattices with General Connectivity Topology . . . . . . . . . . . . . . . . 755--765 Péter L. Várkonyi and Philip Holmes On Synchronization and Traveling Waves in Chains of Relaxation Oscillators with an Application to Lamprey CPG . . . . . 766--794 D. J. W. Simpson and J. D. Meiss Neimark--Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps . . . 795--824 Maurizio Porfiri and Roberta Pigliacampo Master-Slave Global Stochastic Synchronization of Chaotic Oscillators 825--842 Balázs Bánhelyi and Tibor Csendes and Barnabas M. Garay and László Hatvani A Computer-Assisted Proof of $ \Sigma_3 $-Chaos in the Forced Damped Pendulum Equation . . . . . . . . . . . . . . . . 843--867 Elaine T. Spiller and William L. Kath A Method for Determining Most Probable Errors in Nonlinear Lightwave Systems 868--894 Hayato Chiba $ {C}^1 $ Approximation of Vector Fields Based on the Renormalization Group Method . . . . . . . . . . . . . . . . . 895--932 M. Speetjens and A. Reusken and S. Maier-Paape and W. Marquardt Stability Analysis of Two-Dimensional Pool-Boiling Systems . . . . . . . . . . 933--961 Arturo Olvera and Nikola P. Petrov Regularity Properties of Critical Invariant Circles of Twist Maps, and Their Universality . . . . . . . . . . . 962--987 Jan Bouwe van den Berg and Jean-Philippe Lessard Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift--Hohenberg Equation . . . . . . . . . . . . . . . . 988--1031 Victoriano Carmona and Fernando Fernández-Sánchez and Antonio E. Teruel Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System . . . . 1032--1048 David J. B. Lloyd and Björn Sandstede and Daniele Avitabile and Alan R. Champneys Localized Hexagon Patterns of the Planar Swift--Hohenberg Equation . . . . . . . 1049--1100 S. Coombes Neuronal Networks with Gap Junctions: a Study of Piecewise Linear Planar Neuron Models . . . . . . . . . . . . . . . . . 1101--1129
M. Desroches and B. Krauskopf and H. M. Osinga The Geometry of Slow Manifolds near a Folded Node . . . . . . . . . . . . . . 1131--1162 J. Vanneste Asymptotics of a Slow Manifold . . . . . 1163--1190 Margot Kimura and Jeff Moehlis Novel Vehicular Trajectories for Collective Motion from Coupled Oscillator Steering Control . . . . . . 1191--1212 Claudia Wulff A Hamiltonian Analogue of the Meandering Transition . . . . . . . . . . . . . . . 1213--1246 William C. Troy Traveling Waves and Synchrony in an Excitable Large-Scale Neuronal Network with Asymmetric Connections . . . . . . 1247--1282 Phanikrishna Thota and Harry Dankowicz TC-HAT ($ \widehat {TC}$): a Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems 1283--1322 P.-L. Buono and V. G. LeBlanc Realization of Critical Eigenvalues for Scalar and Symmetric Linear Delay-Differential Equations . . . . . . 1323--1354 John Guckenheimer Singular Hopf Bifurcation in Systems with Two Slow Variables . . . . . . . . 1355--1377 J. A. Vera Eulerian Equilibria of a Gyrostat in Newtonian Interaction with Two Rigid Bodies . . . . . . . . . . . . . . . . . 1378--1396 J. Knobloch and T. Wagenknecht Snaking of Multiple Homoclinic Orbits in Reversible Systems . . . . . . . . . . . 1397--1420 Gregory M. Lewis and William F. Langford Hysteresis in a Rotating Differentially Heated Spherical Shell of Boussinesq Fluid . . . . . . . . . . . . . . . . . 1421--1444 Yu-Chuan Chang and Jonq Juang Stable Synchrony in Globally Coupled Integrate-and-Fire Oscillators . . . . . 1445--1476 Sarah Day and Rafael Frongillo and Rodrigo Treviño Algorithms for Rigorous Entropy Bounds and Symbolic Dynamics . . . . . . . . . 1477--1506 Nicole Abaid and Robert S. Eisenberg and Weishi Liu Asymptotic Expansions of I--V Relations via a Poisson--Nernst--Planck System . . 1507--1526 Héctor E. Lomelí and Rafael Ramírez-Ros Separatrix Splitting in $3$D Volume-Preserving Maps . . . . . . . . . 1527--1557 Margaret Beck and Christopher K. R. T. Jones and David Schaeffer and Martin Wechselberger Electrical Waves in a One-Dimensional Model of Cardiac Tissue . . . . . . . . 1558--1581 Horacio G. Rotstein and Martin Wechselberger and Nancy Kopell Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model . . . . . . . . . . 1582--1611
Henri Huijberts and Wim Michiels and Henk Nijmeijer Stabilizability via Time-Delayed Feedback: An Eigenvalue Optimization Approach . . . . . . . . . . . . . . . . 1--20 Claire M. Postlethwaite Stabilization of Long-Period Periodic Orbits Using Time-Delayed Feedback Control . . . . . . . . . . . . . . . . 21--39 Martin Golubitsky and Reiner Lauterbach Bifurcations from Synchrony in Homogeneous Networks: Linear Theory . . 40--75 H. R. Dullin and J. D. Meiss Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations . . . 76--128 Georg A. Gottwald and Ian Melbourne On the Implementation of the 0--1 Test for Chaos . . . . . . . . . . . . . . . 129--145 Russell D. Halper and Eric J. Harder and Brian R. Hunt and James A. Yorke Stability of TCP Dynamics in Large Data Networks . . . . . . . . . . . . . . . . 146--159 Raymond Nagem and Guido Sandri and David Uminsky and C. Eugene Wayne Generalized Helmholtz--Kirchhoff Model for Two-Dimensional Distributed Vortex Motion . . . . . . . . . . . . . . . . . 160--179 Jared M. Maruskin and Daniel J. Scheeres and Anthony M. Bloch Dynamics of Symplectic Subvolumes . . . 180--201 Jie Sun and Erik M. Bollt and Takashi Nishikawa Constructing Generalized Synchronization Manifolds by Manifold Equation . . . . . 202--221 Kirk Green and Bernd Krauskopf and Frank Marten and Daan Lenstra Bifurcation Analysis of a Spatially Extended Laser with Optical Feedback . . 222--252 Bard Ermentrout and Martin Wechselberger Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model 253--278 Primitivo B. Acosta-Humánez Nonautonomous Hamiltonian Systems and Morales--Ramis Theory I. The Case $ \ddot {x} = f(x, t) $ . . . . . . . . . 279--297 A. M. Rucklidge and M. Silber Design of Parametrically Forced Patterns and Quasipatterns . . . . . . . . . . . 298--347 Eric N. Cytrynbaum and Timothy J. Lewis A Global Bifurcation and the Appearance of a One-Dimensional Spiral Wave in Excitable Media . . . . . . . . . . . . 348--370 Sven Schmidt and Holger R. Dullin and Peter H. Richter A Poincaré Section for the General Heavy Rigid Body . . . . . . . . . . . . . . . 371--389 Chunhua Ou and Wei Yuan Traveling Wavefronts in a Volume-Filling Chemotaxis Model . . . . . . . . . . . . 390--416 Mark Verwoerd and Oliver Mason On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph . . . . . . . . 417--453 R\uazvan M. Tudoran and Anania Aron and tefan Nicoar\ua On a Hamiltonian Version of the Rikitake System . . . . . . . . . . . . . . . . . 454--479 Veerle Ledoux and Simon J. A. Malham and Jitse Niesen and Vera Thümmler Computing Stability of Multidimensional Traveling Waves . . . . . . . . . . . . 480--507 Jaume Llibre and Paulo R. da Silva and Marco A. Teixeira Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation . . . . . . . . . . . . . . 508--526
Christophe Germay and Nathan Van de Wouw and Henk Nijmeijer and Rodolphe Sepulchre Nonlinear Drillstring Dynamics Analysis 527--553 A. Giraldo and J. M. R. Sanjurjo Singular Continuations of Attractors . . 554--575 C. Martel and M. Higuera and J. D. Carrasco Localized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings . . 576--591 R. Alzate and M. di Bernardo and G. Giordano and G. Rea and S. Santini Experimental and Numerical Investigation of Coexistence, Novel Bifurcations, and Chaos in a Cam-Follower System . . . . . 592--623 M. R. Jeffrey and A. Colombo The Two-Fold Singularity of Discontinuous Vector Fields . . . . . . 624--640 Ana Paula S. Dias and Eliana Manuel Pinho Spatially Periodic Patterns of Synchrony in Lattice Networks . . . . . . . . . . 641--675 Michael Gorman and Robert Brockman Dynamic States of Heavy Hydrocarbon-Oxygen Premixed Flames on an Annular Burner . . . . . . . . . . . . . 676--688 Thomas R. O. Melvin and Alan R. Champneys and Dmitry E. Pelinovsky Discrete Traveling Solitons in the Salerno Model . . . . . . . . . . . . . 689--709 Dorea Vierling-Claassen and Nancy Kopell The Dynamics of a Periodically Forced Cortical Microcircuit, With an Application to Schizophrenia . . . . . . 710--733 Paul Tupper The Relation between Approximation in Distribution and Shadowing in Molecular Dynamics . . . . . . . . . . . . . . . . 734--755
Zin Arai and William Kalies and Hiroshi Kokubu and Konstantin Mischaikow and Hiroe Oka and Pawe\l Pilarczyk A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems . . . . . . . . . . . . . . . . 757--789 Jianhua Huang and Wenxian Shen Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media . . . . . . . . . . . . . . . . . 790--821 Stephen Schecter and Peter Szmolyan Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points . . . . . . . . . . . . . 822--853 John Guckenheimer and Christian Kuehn Computing Slow Manifolds of Saddle Type 854--879 Andrew J. Leverentz and Chad M. Topaz and Andrew J. Bernoff Asymptotic Dynamics of Attractive-Repulsive Swarms . . . . . . 880--908 J. H. P. Dawes Modulated and Localized States in a Finite Domain . . . . . . . . . . . . . 909--930 Claudia Wulff and Frank Schilder Numerical Bifurcation of Hamiltonian Relative Periodic Orbits . . . . . . . . 931--966 Petre Birtea and Dan Com\uanescu Asymptotic Stability of Dissipated Hamilton--Poisson Systems . . . . . . . 967--976 Jessica M. Conway and Hermann Riecke Superlattice Patterns in the Complex Ginzburg--Landau Equation with Multiresonant Forcing . . . . . . . . . 977--1004 Antoni Guillamon and Gemma Huguet A Computational and Geometric Approach to Phase Resetting Curves and Surfaces 1005--1042 Margaret Beck and C. Eugene Wayne Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation With Small Viscosity . . . . . 1043--1065 Hayato Chiba Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method . . . . 1066--1115 Tuhin Sahai and Alexander Vladimirsky Numerical Methods for Approximating Invariant Manifolds of Delayed Systems 1116--1135 Matthew J. Smith and Jens D. M. Rademacher and Jonathan A. Sherratt Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction--Diffusion Systems of Lambda-Omega Type . . . . . . . . . . . 1136--1159 O. Diekmann and S. A. van Gils On the Cyclic Replicator Equation and the Dynamics of Semelparous Populations 1160--1189 Eric Forgoston and Ira B. Schwartz Escape Rates in a Stochastic Environment with Multiple Scales . . . . . . . . . . 1190--1217 David J. Pinto and William Troy and Timothy Kneezel Asymmetric Activity Waves in Synaptic Cortical Systems . . . . . . . . . . . . 1218--1233 Ronald Votel and David A. W. Barton and Takahide Gotou and Takeshi Hatanaka and Masayuki Fujita and Jeff Moehlis Equilibrium Configurations for a Territorial Model . . . . . . . . . . . 1234--1260 Alan R. Champneys and Vivien Kirk and Edgar Knobloch and Bart E. Oldeman and J. D. M. Rademacher Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle . . . . . . . . . . . . . . . . . 1261--1304 T. Seidel and I. Gasser and B. Werner Microscopic Car-Following Models Revisited: From Road Works to Fundamental Diagrams . . . . . . . . . . 1305--1323 Wei Zou and Meng Zhan Splay States in a Ring of Coupled Oscillators: From Local to Global Coupling . . . . . . . . . . . . . . . . 1324--1340
Henry D. I. Abarbanel and Daniel R. Creveling and Reza Farsian and Mark Kostuk Dynamical State and Parameter Estimation 1341--1381 \`Angel Jorba and Estrella Olmedo On the Computation of Reducible Invariant Tori on a Parallel Computer 1382--1404 Roland Potthast and Peter beim Graben Inverse Problems in Neural Field Theory 1405--1433 Róbert Szalai and Hinke M. Osinga Arnol'd Tongues Arising from a Grazing-Sliding Bifurcation . . . . . . 1434--1461 Jonathan Touboul and Romain Brette Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons . . . . . . . 1462--1506 Alessandro Colombo and Paola Lamiani and Luis Benadero and Mario di Bernardo Two-Parameter Bifurcation Analysis of the Buck Converter . . . . . . . . . . . 1507--1522 Judy Day and Jonathan E. Rubin and Carson C. Chow Competition Between Transients in the Rate of Approach to a Fixed Point . . . 1523--1563 Yu Zhang and Amitabha Bose and Farzan Nadim The Influence of the A-Current on the Dynamics of an Oscillator-Follower Inhibitory Network . . . . . . . . . . . 1564--1590 Frédérique Clément and Alexandre Vidal Foliation-Based Parameter Tuning in a Model of the GnRH Pulse and Surge Generator . . . . . . . . . . . . . . . 1591--1631 Daniel Wilczak and Piotr Zgliczy\'nski Computer Assisted Proof of the Existence of Homoclinic Tangency for the Hénon Map and for the Forced Damped Pendulum . . . 1632--1663 Pranay Goel and Arthur Sherman The Geometry of Bursting in the Dual Oscillator Model of Pancreatic $ \beta $-cells . . . . . . . . . . . . . . . . 1664--1693 Joanna F. Mason and Petri T. Piiroinen The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model . . . . . . . . . . . . . . . 1694--1711
Predrag Cvitanovi\'c and Ruslan L. Davidchack and Evangelos Siminos On the State Space Geometry of the Kuramoto--Sivashinsky Flow in a Periodic Domain . . . . . . . . . . . . . . . . . 1--33 Todd Kapitula and Kody J. H. Law and Panayotis G. Kevrekidis Interaction of Excited States in Two-Species Bose--Einstein Condensates: a Case Study . . . . . . . . . . . . . . 34--61 Alessandro Colombo and Fabio Dercole Discontinuity Induced Bifurcations of Nonhyperbolic Cycles in Nonsmooth Systems . . . . . . . . . . . . . . . . 62--83 Tomá\vs Gedeon Oscillations in Monotone Systems with a Negative Feedback . . . . . . . . . . . 84--112 Cheng Ly and G. Bard Ermentrout Analysis of Recurrent Networks of Pulse-Coupled Noisy Neural Oscillators 113--137 John Guckenheimer and Christian Kuehn Homoclinic Orbits of the FitzHugh--Nagumo Equation: Bifurcations in the Full System . . . . . . . . . . . 138--153 Justin R. Dunmyre and Jonathan E. Rubin Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network . . . . . . . . 154--187 S. R. Pring and C. J. Budd The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems . . . . . . . . . . . 188--219 Berton A. Earnshaw and James P. Keener Global Asymptotic Stability of Solutions of Nonautonomous Master Equations . . . 220--237 J. H. P. Dawes and S. Lilley Localized States in a Model of Pattern Formation in a Vertically Vibrated Layer 238--260 Abul Kalam al Azad and Peter Ashwin Within-Burst Synchrony Changes for Coupled Elliptic Bursters . . . . . . . 261--281
Natasha Filipski and Martin Golubitsky The Abelian Hopf $ H \bmod K $ Theorem 283--291 P. van Heijster and A. Doelman and T. J. Kaper and K. Promislow Front Interactions in a Three-Component System . . . . . . . . . . . . . . . . . 292--332 V. B. Pasour and S. P. Ellner Computational and Analytic Perspectives on the Drift Paradox . . . . . . . . . . 333--356 Darya Kastsian and Martin Mönnigmann Robust Optimization of Fixed Points of Nonlinear Discrete Time Systems with Uncertain Parameters . . . . . . . . . . 357--390 A. V. Yulin and A. R. Champneys Discrete Snaking: Multiple Cavity Solitons in Saturable Media . . . . . . 391--431 Elaine T. Spiller and Gino Biondini Importance Sampling for Dispersion-Managed Solitons . . . . . . 432--461 M. B. Short and A. L. Bertozzi and P. J. Brantingham Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression 462--483 Philippe Beltrame and Uwe Thiele Time Integration and Steady-State Continuation for 2d Lubrication Equations . . . . . . . . . . . . . . . 484--518 Serhiy Yanchuk and Matthias Wolfrum A Multiple Time Scale Approach to the Stability of External Cavity Modes in the Lang--Kobayashi System Using the Limit of Large Delay . . . . . . . . . . 519--535 Sebastian Hermann and Georg A. Gottwald The Large Core Limit of Spiral Waves in Excitable Media: a Numerical Approach 536--567 Berton A. Earnshaw and James P. Keener Invariant Manifolds of Binomial-Like Nonautonomous Master Equations . . . . . 568--588 Stephen A. Gourley and Rongsong Liu and Jianhong Wu Spatiotemporal Distributions of Migratory Birds: Patchy Models with Delay . . . . . . . . . . . . . . . . . 589--610 George Haller and Themistoklis Sapsis Localized Instability and Attraction along Invariant Manifolds . . . . . . . 611--633 E. Barrabés and J. M. Cors and G. R. Hall A Limit Case of the ``Ring Problem'': The Planar Circular Restricted $ 1 + n $ Body Problem . . . . . . . . . . . . . . 634--658
William Erik Sherwood and John Guckenheimer Dissecting the Phase Response of a Model Bursting Neuron . . . . . . . . . . . . 659--703 Daniele Avitabile and David J. B. Lloyd and John Burke and Edgar Knobloch and Björn Sandstede To Snake or Not to Snake in the Planar Swift--Hohenberg Equation . . . . . . . 704--733 J. Douglas Wright Interaction Manifolds for Reaction Diffusion Equations in Two Dimensions 734--768 Marcel Guardia and S. John Hogan and Tere M. Seara An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator . . . . . . . . . . . . . . . 769--798 Yuriy Mileyko and Joshua S. Weitz Bifurcation Analysis of Gene Regulatory Circuits Subject to Copy Number Variation . . . . . . . . . . . . . . . 799--826 Hermen Jan Hupkes and Björn Sandstede Traveling Pulse Solutions for the Discrete FitzHugh--Nagumo System . . . . 827--882 Jonathan A. Sherratt and Matthew J. Smith and Jens D. M. Rademacher Patterns of Sources and Sinks in the Complex Ginzburg--Landau Equation with Zero Linear Dispersion . . . . . . . . . 883--918 J. D. Mireles James and Hector Lomelí Computation of Heteroclinic Arcs with Application to the Volume Preserving Hénon Family . . . . . . . . . . . . . . 919--953 Romain Veltz and Olivier Faugeras Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations 954--998 Min Chen and Christopher W. Curtis and Bernard Deconinck and Crystal W. Lee and Nghiem Nguyen Spectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media . . . . . . . . . . . . . . . . . 999--1018 Stefanos E. Folias and G. Bard Ermentrout Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps . . . . . . . . 1019--1060 Edward Belbruno and Marian Gidea and Francesco Topputo Weak Stability Boundary and Invariant Manifolds . . . . . . . . . . . . . . . 1061--1089 Arnaud Tonnelier Propagation of Spike Sequences in Neural Networks . . . . . . . . . . . . . . . . 1090--1118 Gianni Arioli and Hans Koch Integration of Dissipative Partial Differential Equations: a Case Study . . 1119--1133
Yujin Guo Dynamical Solutions of Singular Wave Equations Modeling Electrostatic MEMS 1135--1163 J. D. Mireles James Adaptive Set-Oriented Computation of Topological Horseshoe Factors in Area and Volume Preserving Maps . . . . . . . 1164--1200 Hinke M. Osinga and Jeff Moehlis Continuation-based Computation of Global Isochrons . . . . . . . . . . . . . . . 1201--1228 Jessica Lin and William Ott Observing Infinite-dimensional Dynamical Systems . . . . . . . . . . . . . . . . 1229--1243 Simone Calogero and J. Mark Heinzle Oscillations toward the Singularity of Locally Rotationally Symmetric Bianchi Type IX Cosmological Models with Vlasov Matter . . . . . . . . . . . . . . . . . 1244--1262 Daniel Wilczak Uniformly Hyperbolic Attractor of the Smale--Williams Type for a Poincaré Map in the Kuznetsov System . . . . . . . . 1263--1283 Milo\vs Ilak and Shervin Bagheri and Luca Brandt and Clarence W. Rowley and Dan S. Henningson Model Reduction of the Nonlinear Complex Ginzburg--Landau Equation . . . . . . . 1284--1302 Zachary P. Kilpatrick and Paul C. Bressloff Binocular Rivalry in a Competitive Neural Network with Synaptic Depression 1303--1347
Timo Reis and Tatjana Stykel Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits . . . . . . . . . . . . . . 1--34 B. A. Mosovsky and J. D. Meiss Transport in Transitory Dynamical Systems . . . . . . . . . . . . . . . . 35--65 S. C. Green and C. J. Budd and G. W. Hunt Breathers in a Pinned Mechanical Lattice 66--91 John Guckenheimer and Chris Scheper A Geometric Model for Mixed-Mode Oscillations in a Chemical System . . . 92--128 Jan Sieber and Robert Szalai Characteristic Matrices for Linear Periodic Delay Differential Equations 129--147 Philip Eckhoff and KongFatt Wong-Lin and Philip Holmes Dimension Reduction and Dynamics of a Spiking Neural Network Model for Decision Making under Neuromodulation 148--188 Mathew A. Johnson and Kevin Zumbrun Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two . . . . . . . . . . . . . . . . . . 189--211 Andrew J. Bernoff and Chad M. Topaz A Primer of Swarm Equilibria . . . . . . 212--250 Theodore Kolokolnikov and Xiaofeng Ren Smoke-Ring Solutions of Gierer--Meinhardt System in $ \mathbb {R}^3 $ . . . . . . . . . . . . . . . . 251--277 Pablo S. Casas and Rafael Ramírez-Ros The Frequency Map for Billiards inside Ellipsoids . . . . . . . . . . . . . . . 278--324 Kaname Matsue Rigorous Verification of Bifurcations of Differential Equations via the Conley Index Theory . . . . . . . . . . . . . . 325--359 Ryan N. Goh and Samantha Mesuro and Arnd Scheel Spatial Wavenumber Selection in Recurrent Precipitation . . . . . . . . 360--402
Tamás Kalmár-Nagy and Pankaj Wahi and Abhishek Halder Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing . . . . 403--422 Alessandro Colombo and Mike R. Jeffrey Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows 423--451 Robert I. McLachlan and Xingyou Zhang Asymptotic Blowup Profiles for Modified Camassa--Holm Equations . . . . . . . . 452--468 Nicholas Blackbeard and Hartmut Erzgräber and Sebastian Wieczorek Shear-Induced Bifurcations and Chaos in Models of Three Coupled Lasers . . . . . 469--509 Jan Bouwe van den Berg and Miroslav Kramár and Robert C. Vandervorst The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids . . . . . . . . . . . . . . . . . 510--550 Yuan Yuan and Jacques Bélair Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay . . . . . . . . . 551--581 W. Chen and M. J. Ward The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray--Scott Model . . . . . . . . . . . 582--666 Elisabeth Blank and Tomás Dohnal Families of Surface Gap Solitons and Their Stability via the Numerical Evans Function Method . . . . . . . . . . . . 667--706 Jonathan P. Desi and Hanein H. Edrees and Joseph J. Price and Evelyn Sander and Thomas Wanner The Dynamics of Nucleation in Stochastic Cahn--Morral Systems . . . . . . . . . . 707--743 Stefanos E. Folias Nonlinear Analysis of Breathing Pulses in a Synaptically Coupled Neural Network 744--787 Obayashi Ippei Computer-Assisted Verification Method for Invariant Densities and Rates of Decay of Correlations . . . . . . . . . 788--816
Kenneth R. Meyer and Jesús F. Palacián and Patricia Yanguas Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori . . . . . . . . . . . . . . 817--856 Oren Shoval and Uri Alon and Eduardo Sontag Symmetry Invariance for Adapting Biological Systems . . . . . . . . . . . 857--886 Moody T. Chu and Matthew M. Lin Dynamical System Characterization of the Central Path and Its Variants --- a Revisit . . . . . . . . . . . . . . . . 887--905 Mark Verwoerd and Oliver Mason A Convergence Result for the Kuramoto Model with All-to-All Coupling . . . . . 906--920 Maila Brucal-Hallare and Erik Van Vleck Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model . . . . . . . . . . 921--959 Carlos Escudero and Andrés M. Rivera and Pedro J. Torres Chemical Oscillations out of Chemical Noise . . . . . . . . . . . . . . . . . 960--986 Thounaojam Umeshkanta Singh and Kaustubh Manchanda and Ramakrishna Ramaswamy and Amitabha Bose Excitable Nodes on Random Graphs: Relating Dynamics to Network Structure 987--1012 Yizhar Or and Sebastian Zhang and Richard M. Murray Dynamics and Stability of Low-Reynolds-Number Swimming Near a Wall 1013--1041 K. Uldall Kristiansen and P. Palmer and M. Roberts A Unification of Models of Tethered Satellites . . . . . . . . . . . . . . . 1042--1069 Florian Dörfler and Francesco Bullo On the Critical Coupling for Kuramoto Oscillators . . . . . . . . . . . . . . 1070--1099 Sanjeeva Balasuriya A Tangential Displacement Theory for Locating Perturbed Saddles and Their Manifolds . . . . . . . . . . . . . . . 1100--1126 D. Terman and E. Lee and J. Rinzel and T. Bem Stability of Anti-Phase and In-Phase Locking by Electrical Coupling but Not Fast Inhibition Alone . . . . . . . . . 1127--1153 Michael E. Henderson Flow Box Tiling Methods for Compact Invariant Manifolds . . . . . . . . . . 1154--1176 Rachel Sigrist and Paul Matthews Symmetric Spiral Patterns on Spheres . . 1177--1211
Joceline Lega Collective Behaviors in Two-Dimensional Systems of Interacting Particles . . . . 1213--1231 Guillaume Lajoie and Eric Shea-Brown Shared Inputs, Entrainment, and Desynchrony in Elliptic Bursters: From Slow Passage to Discontinuous Circle Maps . . . . . . . . . . . . . . . . . . 1232--1271 Yanyan Zhang and Martin Golubitsky Periodically Forced Hopf Bifurcation . . 1272--1306 Ilona Kosiuk and Peter Szmolyan Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator . . . . . . . . . . . . . . . 1307--1343 Rustum Choksi and Mirjana Maras and J. F. Williams $2$D Phase Diagram for Minimizers of a Cahn--Hilliard Functional with Long-Range Interactions . . . . . . . . 1344--1362 Alexandre Munnier Passive and Self-Propelled Locomotion of an Elastic Swimmer in a Perfect Fluid 1363--1403 Ian Stewart and Martin Golubitsky Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: $1$-Dimensional Cells . . . 1404--1442 R. Curtu and J. Rubin Interaction of Canard and Singular Hopf Mechanisms in a Neural Model . . . . . . 1443--1479 Alexandre Goldsztejn and Wayne Hayes and Pieter Collins Tinkerbell Is Chaotic . . . . . . . . . 1480--1501 Bartlomiej Borek and Leon Glass and Bart E. Oldeman Continuity of Resetting a Pacemaker in an Excitable Medium . . . . . . . . . . 1502--1524 Fabio Dercole and Fabio Della Rossa and Alessandro Colombo and Yuri A. Kuznetsov Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems 1525--1553
T. Penati and S. Paleari Breathers and $Q$-Breathers: Two Sides of the Same Coin . . . . . . . . . . . . 1--30 Alan Veliz-Cuba An Algebraic Approach to Reverse Engineering Finite Dynamical Systems Arising from Biology . . . . . . . . . . 31--48 Jonathan Touboul and Geoffroy Hermann and Olivier Faugeras Noise-Induced Behaviors in Neural Mean Field Dynamics . . . . . . . . . . . . . 49--81 Rafael Frongillo and Rodrigo Treviño Efficient Automation of Index Pairs in Computational Conley Index Theory . . . 82--109 Carsten Conradi and Dietrich Flockerzi Switching in Mass Action Networks Based on Linear Inequalities . . . . . . . . . 110--134 Horacio G. Rotstein and Stephen Coombes and Ana Maria Gheorghe Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh--Nagumo Type . . . . . . . . 135--180 Emilio Freire and Enrique Ponce and Francisco Torres Canonical Discontinuous Planar Piecewise Linear Systems . . . . . . . . . . . . . 181--211 Cecilia G. Diniz Behn and Victoria Booth A Fast-Slow Analysis of the Dynamics of REM Sleep . . . . . . . . . . . . . . . 212--242 A. T. Baraviera and R. Leplaideur and A. O. Lopes Selection of Ground States in the Zero Temperature Limit for a One-Parameter Family of Potentials . . . . . . . . . . 243--260 John Burke and Jonathan H. P. Dawes Localized States in an Extended Swift--Hohenberg Equation . . . . . . . 261--284 Maciej J. Capi\'nski and Pablo Roldán Existence of a Center Manifold in a Practical Domain around $ L_1 $ in the Restricted Three-Body Problem . . . . . 285--318 H. R. Dullin and J. D. Meiss Resonances and Twist in Volume-Preserving Mappings . . . . . . . 319--349 Kendrick M. Shaw and Young-Min Park and Hillel J. Chiel and Peter J. Thomas Phase Resetting in an Asymptotically Phaseless System: On the Phase Response of Limit Cycles Verging on a Heteroclinic Orbit . . . . . . . . . . . 350--391 F. De Smet and D. Aeyels Clustering Conditions and the Cluster Formation Process in a Dynamical Model of Multidimensional Attracting Agents 392--415 L. Lerman and V. Rom-Kedar A Saddle in a Corner --- a Model of Collinear Triatomic Chemical Reactions 416--446 Nico Schlömer and Daniele Avitabile and Wim Vanroose Numerical Bifurcation Study of Superconducting Patterns on a Square . . 447--477 Dmitry E. Pelinovsky and Gideon Simpson and Michael I. Weinstein Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System 478--506 Michael A. Schwemmer and Timothy J. Lewis Bistability in a Leaky Integrate-and-Fire Neuron with a Passive Dendrite . . . . . . . . . . . . . . . . 507--539 Eric Foxall and Roderick Edwards and Slim Ibrahim and P. van den Driessche A Contraction Argument for Two-Dimensional Spiking Neuron Models 540--566
H. W. Mckenzie and Y. Jin and J. Jacobsen and M. A. Lewis $ R_0 $ Analysis of a Spatiotemporal Model for a Stream Population . . . . . 567--596 Jordi-Lluís Figueras and \`Alex Haro Reliable Computation of Robust Response Tori on the Verge of Breakdown . . . . . 597--628 Kevin Penner and Bard Ermentrout and David Swigon Pattern Formation in a Model of Acute Inflammation . . . . . . . . . . . . . . 629--660 K. Uldall Kristiansen and P. Palmer and R. M. Roberts The Persistence of a Slow Manifold with Bifurcation . . . . . . . . . . . . . . 661--683 Richard McGehee and Clarence Lehman A Paleoclimate Model of Ice-Albedo Feedback Forced by Variations in Earth's Orbit . . . . . . . . . . . . . . . . . 684--707 Paul C. Bressloff and Matthew A. Webber Front Propagation in Stochastic Neural Fields . . . . . . . . . . . . . . . . . 708--740 R. M. Colombo and N. Pogodaev Confinement Strategies in a Model for the Interaction between Individuals and a Continuum . . . . . . . . . . . . . . 741--770
Lutz Recke and Anatoly Samoilenko and Viktor Tkachenko and Serhiy Yanchuk Frequency Locking by External Forcing in Systems with Rotational Symmetry . . . . 771--800 A. Granados and S. J. Hogan and T. M. Seara The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System . . 801--830 John Guckenheimer and Tomas Johnson and Philipp Meerkamp Rigorous Enclosures of a Slow Manifold 831--863 M. Dipoppa and M. Krupa and A. Torcini and B. S. Gutkin Splay States in Finite Pulse-Coupled Networks of Excitable Neurons . . . . . 864--894 Stefanos E. Folias and G. Bard Ermentrout Bifurcations of Stationary Solutions in an Interacting Pair of $E$-$I$ Neural Fields . . . . . . . . . . . . . . . . . 895--938 Daniele Linaro and Alan Champneys and Mathieu Desroches and Marco Storace Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh--Rose Burster . . . . . . . . 939--962 William Tong and Holger R. Dullin The Equilateral Pentagon at Zero Angular Momentum: Maximal Rotation through Optimal Deformation . . . . . . . . . . 963--987 Alan D. Rendall Mathematics of the NFAT Signaling Pathway . . . . . . . . . . . . . . . . 988--1006 Olivier Corradi and Poul G. Hjorth and Jens Starke Equation-Free Detection and Continuation of a Hopf Bifurcation Point in a Particle Model of Pedestrian Flow . . . 1007--1032 Matthew O. Williams and Eli Shlizerman and Jon Wilkening and J. Nathan Kutz The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth . . . . . . . . . . . . . 1033--1061 I. Baldomá and P. Martín The Inner Equation for Generalized Standard Maps . . . . . . . . . . . . . 1062--1097 D. M. Slater and P. H. Steen Detecting Symmetry in the Chaotic and Quasi-periodic Motions of Three Coupled Droplet Oscillators . . . . . . . . . . 1098--1113 M. DeSantis and D. Swigon and G. Caginalp Nonlinear Dynamics and Stability in a Multigroup Asset Flow Model . . . . . . 1114--1148
Je-Chiang Tsai and Wenjun Zhang and Vivien Kirk and James Sneyd Traveling Waves in a Simplified Model of Calcium Dynamics . . . . . . . . . . . . 1149--1199 Eduardo Liz and Alfonso Ruiz-Herrera Chaos in Discrete Structured Population Models . . . . . . . . . . . . . . . . . 1200--1214 S. Fernández-García and D. Angulo García and G. Olivar Tost and M. di Bernardo and M. R. Jeffrey Structural Stability of the Two-Fold Singularity . . . . . . . . . . . . . . 1215--1230 M. A. D. Aguiar and H. Ruan Interior Symmetries and Multiple Eigenvalues for Homogeneous Networks . . 1231--1269 Casey Diekman and Martin Golubitsky and Tyler McMillen and Yunjiao Wang Reduction and Dynamics of a Generalized Rivalry Network with Two Learned Patterns . . . . . . . . . . . . . . . . 1270--1309 Christian Bick and Marc Timme and Christoph Kolodziejski Adapting Predictive Feedback Chaos Control for Optimal Convergence Speed 1310--1324 John Guckenheimer and Philipp Meerkamp Unfoldings of Singular Hopf Bifurcation 1325--1359 Vivien Kirk and Claire Postlethwaite and Alastair M. Rucklidge Resonance Bifurcations of Robust Heteroclinic Networks . . . . . . . . . 1360--1401 Claudio A. Buzzi and Tiago de Carvalho and Marco A. Teixeira On $3$-Parameter Families of Piecewise Smooth Vector Fields in the Plane . . . 1402--1424 Georgy Kitavtsev and Lutz Recke and Barbara Wagner Asymptotics for the Spectrum of a Thin Film Equation in a Singular Limit . . . 1425--1457 Martin Krupa and Alexandre Vidal and Mathieu Desroches and Frédérique Clément Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System . . . 1458--1498 J. J. Nieto and M. J. Pacifico and J. L. Vieitez Long-Term and Short-Term Dynamics of \em Microtus epiroticus: a Yoccoz--Birkeland Model . . . . . . . . . . . . . . . . . 1499--1532 D. Ambrosi and G. Arioli and H. Koch A Homoclinic Solution for Excitation Waves on a Contractile Substratum . . . 1533--1542 Yixin Guo Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network . . . . . . . . . . . . . . . . 1543--1582 A. R. Champneys and E. Knobloch and Y.-P. Ma and T. Wagenknecht Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit . . . . . . 1583--1613 Rafael de la Llave and Héctor E. Lomelí Invariant Manifolds for Analytic Difference Equations . . . . . . . . . . 1614--1651 Wendi Wang and Xiao-Qiang Zhao Basic Reproduction Numbers for Reaction--Diffusion Epidemic Models . . 1652--1673 Michelle M. McCarthy and Nancy Kopell The Effect of Propofol Anesthesia on Rebound Spiking . . . . . . . . . . . . 1674--1697 Alessio Franci and Guillaume Drion and Rodolphe Sepulchre An Organizing Center in a Planar Model of Neuronal Excitability . . . . . . . . 1698--1722 Maciej J. Capi\'nski Computer Assisted Existence Proofs of Lyapunov Orbits at $ L_2 $ and Transversal Intersections of Invariant Manifolds in the Jupiter--Sun PCR3BP . . 1723--1753 Darren Pais and Carlos H. Caicedo-Núnñez and Naomi E. Leonard Hopf Bifurcations and Limit Cycles in Evolutionary Network Dynamics . . . . . 1754--1784 Brock A. Mosovsky and James D. Meiss Transport in Transitory, Three-Dimensional, Liouville Flows . . . 1785--1816 Tomás Caraballo and José A. Langa and Zhenxin Liu Gradient Infinite-Dimensional Random Dynamical Systems . . . . . . . . . . . 1817--1847
E. Lee and D. Terman Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons . . . . . . . . . . . . . . . . 1--27 Frits Veerman and Arjen Doelman Pulses in a Gierer--Meinhardt Equation with a Slow Nonlinearity . . . . . . . . 28--60 Zachary P. Kilpatrick and Bard Ermentrout Wandering Bumps in Stochastic Neural Fields . . . . . . . . . . . . . . . . . 61--94 A. Machina and R. Edwards and P. van den Driessche Singular Dynamics in Gene Network Models 95--125 P. M. Kitanov and W. Langford and A. R. Willms Double Hopf Bifurcation with Huygens Symmetry . . . . . . . . . . . . . . . . 126--174 Jens D. M. Rademacher First and Second Order Semistrong Interaction in Reaction--Diffusion Systems . . . . . . . . . . . . . . . . 175--203 Roberto Castelli and Jean-Philippe Lessard Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits . . . . . . . . . . . . 204--245 Alexander N. Gorban Thermodynamic Tree: The Space of Admissible Paths . . . . . . . . . . . . 246--278 Cecilia G. Diniz Behn and Aparna Ananthasubramaniam and Victoria Booth Contrasting Existence and Robustness of REM/Non-REM Cycling in Physiologically Based Models of REM Sleep Regulatory Networks . . . . . . . . . . . . . . . . 279--314 Dominik M. Wittmann and Sabrina Hock and Fabian J. Theis Truth-Content and Phase Transitions of Random Boolean Networks with Generic Logics . . . . . . . . . . . . . . . . . 315--351 Hiroko Kamei and Peter J. A. Cock Computation of Balanced Equivalence Relations and Their Lattice for a Coupled Cell Network . . . . . . . . . . 352--382 Alfonso Ruiz-Herrera and Pedro J. Torres Periodic Solutions and Chaotic Dynamics in Forced Impact Oscillators . . . . . . 383--414 Stilianos Louca and Fatihcan M. Atay Stationary States in Infinite Networks of Spiking Oscillators with Noise . . . 415--449 Wei Wang and A. J. Roberts Self-Similarity and Attraction in Stochastic Nonlinear Reaction--Diffusion Systems . . . . . . . . . . . . . . . . 450--486 Xingye Kan and Jinqiao Duan and Ioannis G. Kevrekidis and Anthony J. Roberts Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach . . . . . 487--514 N. J. McCullen and A. M. Rucklidge and C. S. E. Bale and T. J. Foxon and W. F. Gale Multiparameter Models of Innovation Diffusion on Complex Networks . . . . . 515--532
D. J. W. Simpson and S. J. Hogan and R. Kuske Stochastic Regular Grazing Bifurcations 533--559 J. D. Mengers and J. M. Powers One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion . . . . . . . . . 560--595 Anthony H. Dekker and Richard Taylor Synchronization Properties of Trees in the Kuramoto Model . . . . . . . . . . . 596--617 T. Berry and J. R. Cressman and Z. Greguri\'c-Ferencek and T. Sauer Time-Scale Separation from Diffusion-Mapped Delay Coordinates . . . 618--649 Karl B. Glasner and Alan E. Lindsay The Stability and Evolution of Curved Domains Arising from One-Dimensional Localized Patterns . . . . . . . . . . . 650--673 Carmen Chicone and Michael T. Heitzman Phase-Locked Loops, Demodulation, and Averaging Approximation Time-Scale Extensions . . . . . . . . . . . . . . . 674--721 V. De Witte and F. Della Rossa and W. Govaerts and Yu. A. Kuznetsov Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples . . . . . . 722--788 Theodore Vo and Richard Bertram and Martin Wechselberger Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting . . . . . . . . 789--830 S. G. McCalla and B. Sandstede Spots in the Swift--Hohenberg Equation 831--877 Sevdzhan Hakkaev and Milena Stanislavova and Atanas Stefanov Spectral Stability for Subsonic Traveling Pulses of the Boussinesq ``abc'' System . . . . . . . . . . . . . 878--898 Pete Donnell and Murad Banaji Local and Global Stability of Equilibria for a Class of Chemical Reaction Networks . . . . . . . . . . . . . . . . 899--920 Sadegh Esmaeil Zadeh Soudjani and Alessandro Abate Adaptive and Sequential Gridding Procedures for the Abstraction and Verification of Stochastic Processes . . 921--956 J. D. Mireles James and Konstantin Mischaikow Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps . . . . . . . . 957--1006 Martin Hasler and Vladimir Belykh and Igor Belykh Dynamics of Stochastically Blinking Systems. Part I: Finite Time Properties 1007--1030 Martin Hasler and Vladimir Belykh and Igor Belykh Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties 1031--1084 Divakar Viswanath and Xuan Liang and Kirill Serkh Metric Entropy and the Optimal Prediction of Chaotic Signals . . . . . 1085--1113 Gareth E. Roberts Stability of Relative Equilibria in the Planar $n$-Vortex Problem . . . . . . . 1114--1134 Bob W. Rink and Jan A. Sanders Amplified Hopf Bifurcations in Feed-Forward Networks . . . . . . . . . 1135--1157
P. De Maesschalck and M. Desroches Numerical Continuation Techniques for Planar Slow-Fast Systems . . . . . . . . 1159--1180 Chris Howcroft and Bernd Krauskopf and Mark H. Lowenberg and Simon A. Neild Influence of Variable Side-Stay Geometry on the Shimmy Dynamics of an Aircraft Dual-Wheel Main Landing Gear . . . . . . 1181--1209 Panayotis G. Kevrekidis and Dmitry E. Pelinovsky and Dmitry Tyugin Nonlinear Stationary States in PT-Symmetric Lattices . . . . . . . . . 1210--1236 John M. Neuberger and Nándor Sieben and James W. Swift Newton's Method and Symmetry for Semilinear Elliptic PDE on the Cube . . 1237--1279 Stefanie Hittmeyer and Bernd Krauskopf and Hinke M. Osinga Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos . . . . . 1280--1329 Etienne Farcot and Yuan Yuan Homogeneous Auxin Steady States and Spontaneous Oscillations in Flux-Based Auxin Transport Models . . . . . . . . . 1330--1353 Chih-Wen Shih and Jui-Pin Tseng A General Approach to Synchronization of Coupled Cells . . . . . . . . . . . . . 1354--1393 Paul C. Bressloff and Jay M. Newby Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process . . . . . . . . . . . . . 1394--1435 Anatoly Neishtadt and Tan Su On Asymptotic Description of Passage through a Resonance in Quasilinear Hamiltonian Systems . . . . . . . . . . 1436--1473 Nicolas D. Jimenez and Stefan Mihalas and Richard Brown and Ernst Niebur and Jonathan Rubin Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons 1474--1514 Andrés Rivera Periodic Solutions in the Generalized Sitnikov $ (N + 1) $-Body Problem . . . 1515--1540 Robert Szczelina and Piotr Zgliczy\'nski A Homoclinic Orbit in a Planar Singular ODE --- A Computer Assisted Proof . . . 1541--1565 Romain Veltz Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations . . . . . . . . . . . . . . . 1566--1612 Guojian Lin and Weishi Liu and Yingfei Yi and Mingji Zhang Poisson--Nernst--Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects . . . . . . . . . . 1613--1648 A. K. Serenevy and N. J. Kopell Effects of Heterogeneous Periodic Forcing on Inhibitory Networks . . . . . 1649--1684
Carsten Wiuf and Elisenda Feliu Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species . . . . . . . . . . 1685--1721 Diána H. Knipl and Gergely Röst and Jianhong Wu Epidemic Spread and Variation of Peak Times in Connected Regions Due to Travel-Related Infections --- Dynamics of an Antigravity-Type Delay Differential Model . . . . . . . . . . . 1722--1762 Gemma Huguet and Rafael de la Llave Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence . . . . . . . . . . . . . . 1763--1802 Pablo Aguirre and Bernd Krauskopf and Hinke M. Osinga Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation 1803--1846 Ping Bi and Shigui Ruan Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models . . . . 1847--1888 Alejandro Luque and Daniel Peralta-Salas Motion of Charged Particles in ABC Magnetic Fields . . . . . . . . . . . . 1889--1947 Sherry E. Scott Different Perspectives and Formulas for Capturing Deviation from Ergodicity . . 1948--1967 John Guckenheimer and Chris Scheper Multiple Time Scale Analysis of a Model Belousov--Zhabotinskii Reaction . . . . 1968--1996 Assieh Saadatpour and Réka Albert and Timothy C. Reluga A Reduction Method for Boolean Network Models Proven to Conserve Attractors . . 1997--2011 Ana S. Rufino Ferreira and Murat Arcak A Graph Partitioning Approach to Predicting Patterns in Lateral Inhibition Systems . . . . . . . . . . . 2012--2031 Grégory Faye Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression . . . . . . . . . . 2032--2067 Esther R. Widiasih Dynamics of the Budyko Energy Balance Model . . . . . . . . . . . . . . . . . 2068--2092 Joceline Lega Erratum: Collective Behaviors in Two-Dimensional Systems of Interacting Particles . . . . . . . . . . . . . . . 2093--2093
Alejandro Luque and Jordi Villanueva Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods . . . . 1--46 C. M. Cuesta and J. J. L. Velázquez Existence of Solutions Describing Accumulation in a Thin-Film Flow . . . . 47--93 Hannes Uecker and Daniel Wetzel Numerical Results for Snaking of Patterns over Patterns in Some $2$D Selkov--Schnakenberg Reaction--Diffusion Systems . . . . . . . . . . . . . . . . 94--128 Ian Stewart Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks $2$: Higher-Dimensional Cells 129--156 Nathaniel J. Karst and Brian D. Storey and John B. Geddes Spontaneous Oscillations in Simple Fluid Networks . . . . . . . . . . . . . . . . 157--180 Paul Glendinning The Border Collision Normal Form with Stochastic Switching Surface . . . . . . 181--193 Maryam Abedi and Mir Abbas Jalali Collective Dynamics of Interacting Particles in Unsteady Flows . . . . . . 194--209 V. Brenña-Medina and A. R. Champneys and C. Grierson and M. J. Ward Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches . . . . . . . . . . . . . . . . 210--248 M. Meyries and J. D. M. Rademacher and E. Siero Quasi-Linear Parabolic Reaction--Diffusion Systems: a User's Guide to Well-Posedness, Spectra, and Stability of Travelling Waves . . . . . 249--275 Dan Wilson and Jeff Moehlis Optimal Chaotic Desynchronization for Neural Populations . . . . . . . . . . . 276--305 Alexandre Mauroy and Blane Rhoads and Jeff Moehlis and Igor Mezi\'c Global Isochrons and Phase Sensitivity of Bursting Neurons . . . . . . . . . . 306--338 Filippo Terragni and José M. Vega Construction of Bifurcation Diagrams Using POD on the Fly . . . . . . . . . . 339--365 K. Harley and P. van Heijster and R. Marangell and G. J. Pettet and M. Wechselberger Existence of Traveling Wave Solutions for a Model of Tumor Invasion . . . . . 366--396 Martin Burger and Razvan Fetecau and Yanghong Huang Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion . . . . . . . 397--424 Anahita Mirtabatabaei and Peng Jia and Francesco Bullo Eulerian Opinion Dynamics with Bounded Confidence and Exogenous Inputs . . . . 425--446 Daniel Franco and Frank M. Hilker Stabilizing Populations with Adaptive Limiters: Prospects and Fallacies . . . 447--465 Seung-Yeal Ha and Yongduck Kim and Zhuchun Li Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration . . . . . . . . . . . . 466--492 Chris Welshman and John Martin Brooke Dimensionality Reduction of Dynamical Systems with Parameters: a Geometric Approach . . . . . . . . . . . . . . . . 493--517 Richard McGehee and Esther Widiasih A Quadratic Approximation to Budyko's Ice--Albedo Feedback Model with Ice Line Dynamics . . . . . . . . . . . . . . . . 518--536 Balázs Bánhelyi and Tibor Csendes and Tibor Krisztin and Arnold Neumaier Global Attractivity of the Zero Solution for Wright's Equation . . . . . . . . . 537--563 Ignacio Rozada and Steven J. Ruuth and M. J. Ward The Stability of Localized Spot Patterns for the Brusselator on the Sphere . . . 564--627
K. Promislow and L. Yang Existence of Compressible Bilayers in the Functionalized Cahn--Hilliard Equation . . . . . . . . . . . . . . . . 629--657 Sofia H. Piltz and Mason A. Porter and Philip K. Maini Prey Switching with a Linear Preference Trade-Off . . . . . . . . . . . . . . . 658--682 Margaret Watts and Bernard Fendler and Matthew J. Merrins and Leslie S. Satin and Richard Bertram and Arthur Sherman Calcium and Metabolic Oscillations in Pancreatic Islets: Who's Driving the Bus? . . . . . . . . . . . . . . . . . . 683--703 Csaba Bazsó and Alan R. Champneys and Csaba J. Hös Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe . . . . . . . . . . . 704--721 Claudia Wulff and Frank Schilder Relative Lyapunov Center Bifurcations 722--757 Manoj Gopalkrishnan and Ezra Miller and Anne Shiu A Geometric Approach to the Global Attractor Conjecture . . . . . . . . . . 758--797 Alessio Franci and Guillaume Drion and Rodolphe Sepulchre Modeling the Modulation of Neuronal Bursting: a Singularity Theory Approach 798--829 Zachary P. Kilpatrick and Grégory Faye Pulse Bifurcations in Stochastic Neural Fields . . . . . . . . . . . . . . . . . 830--860 K. Uldall Kristiansen and M. Bròns and J. Starke An Iterative Method for the Approximation of Fibers in Slow-Fast Systems . . . . . . . . . . . . . . . . 861--900 Ivan C. Christov and Richard M. Lueptow and Julio M. Ottino and Rob Sturman A Study in Three-Dimensional Chaotic Dynamics: Granular Flow and Transport in a Bi-Axial Spherical Tumbler . . . . . . 901--943 Dan Wilson and Jeff Moehlis An Energy-Optimal Methodology for Synchronization of Excitable Media . . . 944--957 Stefano Galatolo and Isaia Nisoli An Elementary Approach to Rigorous Approximation of Invariant Measures . . 958--985 D. Puzyrev and S. Yanchuk and A. G. Vladimirov and S. V. Gurevich Stability of Plane Wave Solutions in Complex Ginzburg--Landau Equation with Delayed Feedback . . . . . . . . . . . . 986--1009 Christopher Bose and Gary Froyland and Cecilia González-Tokman and Rua Murray Ulam's Method for Lasota--Yorke Maps with Holes . . . . . . . . . . . . . . . 1010--1032
M. Kloc and V. Rom-Kedar Smooth Hamiltonian Systems with Soft Impacts . . . . . . . . . . . . . . . . 1033--1059 Lee DeVille and Yi Zeng Synchrony and Periodicity in Excitable Neural Networks with Multiple Subpopulations . . . . . . . . . . . . . 1060--1081 Mike R. Jeffrey Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding 1082--1105 Tian Ma and Erik M. Bollt Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting 1106--1136 Christian Marschler and Jürgen Vollmer Unidirectionally Coupled Map Lattices with Nonlinear Coupling: Unbinding Transitions and Superlong Transients . . 1137--1151 Rubén Gustavo Paccosi and Alejandra Figliola and Jorge Galán-Vioque A Bifurcation Approach to the Synchronization of Coupled van der Pol Oscillators . . . . . . . . . . . . . . 1152--1167 Masaaki Yadome and Yasumasa Nishiura and Takashi Teramoto Robust Pulse Generators in an Excitable Medium with Jump-Type Heterogeneity . . 1168--1201 Christian Marschler and Jan Sieber and Rainer Berkemer and Atsushi Kawamoto and Jens Starke Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models . . . . . . . 1202--1238 Nickolas Kintos and Farzan Nadim A Modeling Exploration of How Synaptic Feedback to Descending Projection Neurons Shapes the Activity of an Oscillatory Network . . . . . . . . . . 1239--1269 Nicoletta Del Buono and Cinzia Elia and Luciano Lopez On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks . . . . . . . . . . 1270--1292 J. Krüger and W. Stannat Front Propagation in Stochastic Neural Fields: a Rigorous Mathematical Framework . . . . . . . . . . . . . . . 1293--1310 A. S. Alnahdi and J. Niesen and A. M. Rucklidge Localized Patterns in Periodically Forced Systems . . . . . . . . . . . . . 1311--1327 Xiaoying Han and Habib N. Najm Dynamical Structures in Stochastic Chemical Reaction Systems . . . . . . . 1328--1351
Gábor Orosz Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics . . . . . 1353--1386 A. Granados and M. Krupa and F. Clément Border Collision Bifurcations of Stroboscopic Maps in Periodically Driven Spiking Models . . . . . . . . . . . . . 1387--1416 Sun-Ho Choi and Seung-Yeal Ha Complete Entrainment of Lohe Oscillators under Attractive and Repulsive Couplings 1417--1441 Thorsten Hüls and Christian Pötzsche Qualitative Analysis of a Nonautonomous Beverton--Holt Ricker Model . . . . . . 1442--1488 Tracy L. Stepien and David Swigon Traveling Waves in a One-Dimensional Elastic Continuum Model of Cell Layer Migration with Stretch-Dependent Proliferation . . . . . . . . . . . . . 1489--1516 Jonathan A. Sherratt Periodic Traveling Waves in Integrodifferential Equations for Nonlocal Dispersal . . . . . . . . . . . 1517--1541 Pietro-Luciano Buono and Raluca Eftimie Codimension-Two Bifurcations in Animal Aggregation Models with Symmetry . . . . 1542--1582 Daniele Avitabile and Rebecca Hoyle and Giovanni Samaey Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: an Example of Consumer Lock-In 1583--1619 Paul C. Bressloff and Samuel R. Carroll Spatiotemporal Dynamics of Neural Fields on Product Spaces . . . . . . . . . . . 1620--1653 Anatoly Zlotnik and Jr-Shin Li Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators . . 1654--1693 Laurent Charette and Victor G. LeBlanc Lattice Symmetry-Breaking Perturbations for Spiral Waves . . . . . . . . . . . . 1694--1715 Steven L. Brunton and Jonathan H. Tu and Ido Bright and J. Nathan Kutz Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems . . . . . . . . . . . 1716--1732 Cheng Ly Dynamics of Coupled Noisy Neural Oscillators with Heterogeneous Phase Resetting Curves . . . . . . . . . . . . 1733--1755 Jay M. Newby Spontaneous Excitability in the Morris--Lecar Model with Ion Channel Noise . . . . . . . . . . . . . . . . . 1756--1791 S. Stanhope and J. E. Rubin and D. Swigon Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory . . . . . . . . 1792--1815 Gary Froyland and Georg A. Gottwald and Andy Hammerlindl A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems . . . . . . . . . 1816--1846 Thomas Stephens and Thomas Wanner Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices . . . 1847--1878 A. S. Purewal and C. M. Postlethwaite and B. Krauskopf A Global Bifurcation Analysis of the Subcritical Hopf Normal Form Subject to Pyragas Time-Delayed Feedback Control 1879--1915 Tian Ma and Erik M. Bollt Erratum: Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting . . . . . . . . 1916--1916
C. Connell McCluskey Using Lyapunov Functions to Construct Lyapunov Functionals for Delay Differential Equations . . . . . . . . . 1--24 Daniel Austin and Ian H. Dinwoodie Monomials and Basin Cylinders for Network Dynamics . . . . . . . . . . . . 25--42 Jeremy Harris and Bard Ermentrout Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate . . 43--72 Jie Sun and Dane Taylor and Erik M. Bollt Causal Network Inference by Optimal Causation Entropy . . . . . . . . . . . 73--106 Anushaya Mohapatra and William Ott Homoclinic Loops, Heteroclinic Cycles, and Rank One Dynamics . . . . . . . . . 107--131 Roberto Castelli and Jean-Philippe Lessard and J. D. Mireles James Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form . . 132--167 Fanni Sélley and Ádám Besenyei and Istvan Z. Kiss and Péter L. Simon Dynamic Control of Modern, Network-Based Epidemic Models . . . . . . . . . . . . 168--187 Robert W. Hölzel and Katharina Krischer Stability and Long Term Behavior of a Hebbian Network of Kuramoto Oscillators 188--201 Guang Ling and Zhi-Hong Guan and Rui-Quan Liao and Xin-Ming Cheng Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays . . . . . . . . . . . 202--220 Antonio Hernández-Gardunño and Cristina Stoica Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid . . . . 221--252 Célia Sofia Moreira Special Jordan Subspaces and Synchrony Subspaces in Coupled Cell Networks . . . 253--285 L. Lücken and J. P. Pade and K. Knauer Classification of Coupled Dynamical Systems with Multiple Delays: Finding the Minimal Number of Delays . . . . . . 286--304 Paul C. Bressloff and Zachary P. Kilpatrick Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields . . . . . . . . . . . . . . . . . 305--334 Bree Cummins and Tomás Gedeon and Kelly Spendlove On the Efficacy of State Space Reconstruction Methods in Determining Causality . . . . . . . . . . . . . . . 335--381 K. Uldall Kristiansen and S. J. Hogan On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $ \mathbb {R}^3 $ . . . . . . . . . . . . 382--422 J. B. van den Berg and C. M. Groothedde and J. F. Williams Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg--Landau Problem . . . . . . . . 423--447 E. Lee and D. Terman Stability of Antiphase Oscillations in a Network of Inhibitory Neurons . . . . . 448--480 A. D. Dean and P. C. Matthews and S. M. Cox and J. R. King Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice 481--521
Anna Vainchtein and Erik S. Van Vleck and Aijun Zhang Propagation of Periodic Patterns in a Discrete System with Competing Interactions . . . . . . . . . . . . . . 523--555 Dimitrios Giannakis Dynamics-Adapted Cone Kernels . . . . . 556--608 Benny Gamus and Yizhar Or Dynamic Bipedal Walking under Stick-Slip Transitions . . . . . . . . . . . . . . 609--642 S. Fernández-García and M. Desroches and M. Krupa and F. Clément A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System 643--673 M. Net and J. Sánchez Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems . . . . . 674--698 Roy H. Goodman and P. G. Kevrekidis and R. Carretero-González Dynamics of Vortex Dipoles in Anisotropic Bose--Einstein Condensates 699--729 D. Zhelyazov and D. Han-Kwan and J. D. M. Rademacher Global Stability and Local Bifurcations in a Two-Fluid Model for Tokamak Plasma 730--763 John Guckenheimer and Ian Lizarraga Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations . . . . . . . . 764--786 Jacek Cyranka and Piotr Zgliczy\'nski Existence of Globally Attracting Solutions for One-Dimensional Viscous Burgers Equation with Nonautonomous Forcing --- A Computer Assisted Proof 787--821 Mehdi Saghafi and Harry Dankowicz and Matthew West On the Use of Nonlinear Boundary-Value Problems to Estimate the Cloud-Formation Potential of Aerosol Particles . . . . . 822--859 Punit Gandhi and Cédric Beaume and Edgar Knobloch A New Resonance Mechanism in the Swift--Hohenberg Equation with Time-Periodic Forcing . . . . . . . . . 860--892 Anna Ghazaryan and Vahagn Manukian Coherent Structures in a Population Model for Mussel-Algae Interaction . . . 893--913 Konstantinos Efstathiou and Xia Liu and Henk W. Broer The Boundary-Hopf-Fold Bifurcation in Filippov Systems . . . . . . . . . . . . 914--941 Jan Bouwe van den Berg and Andréa Deschênes and Jean-Philippe Lessard and Jason D. Mireles James Stationary Coexistence of Hexagons and Rolls via Rigorous Computations . . . . 942--979 Diána H. Knipl and Pawel Pilarczyk and Gergely Röst Rich Bifurcation Structure in a Two-Patch Vaccination Model . . . . . . 980--1017 Xiaohu Wang and Kening Lu and Bixiang Wang Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing . . 1018--1047 Howard A. Levine and Yeon-Jung Seo Discrete Dynamical Systems in Multiple Target and Alternate SELEX . . . . . . . 1048--1101 Lawrence C. Udeigwe and G. Bard Ermentrout Waves and Patterns on Regular Graphs . . 1102--1129 G. Revel and D. M. Alonso and J. L. Moiola A Degenerate $ 2 \colon 3 $ Resonant Hopf--Hopf Bifurcation as Organizing Center of the Dynamics: Numerical Semiglobal Results . . . . . . . . . . . 1130--1164 M. Briane and G. W. Milton Isotropic Realizability of Current Fields in $ \mathbb {R}^3 $ . . . . . . 1165--1188 K. Uldall Kristiansen Computation of Saddle-Type Slow Manifolds Using Iterative Methods . . . 1189--1227
Andrew Keane and Bernd Krauskopf and Claire Postlethwaite Delayed Feedback Versus Seasonal Forcing: Resonance Phenomena in an El Ninño Southern Oscillation Model . . . . 1229--1257 Tamas Insperger and John Milton and Gabor Stepan Semidiscretization for Time-Delayed Neural Balance Control . . . . . . . . . 1258--1277 Zachary Alexander and Elizabeth Bradley and James D. Meiss and Nicole F. Sanderson Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series . . . . . . . . . . . . . 1278--1307 Mohammad Abu Hamed and Yanqiu Guo and Edriss S. Titi Inertial Manifolds for Certain Subgrid-Scale $ \alpha $-Models of Turbulence . . . . . . . . . . . . . . . 1308--1325 Fábio Natali and Ademir Pastor The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave . . . . . . . . . . . 1326--1347 Marian Mrozek and Roman Srzednicki and Frank Weilandt A Topological Approach to the Algorithmic Computation of the Conley Index for Poincaré Maps . . . . . . . . . 1348--1386 David Morrissey and Arnd Scheel Characterizing the Effect of Boundary Conditions on Striped Phases . . . . . . 1387--1417 Peter Langfield and Bernd Krauskopf and Hinke M. Osinga Forward-Time and Backward-Time Isochrons and Their Interactions . . . . . . . . . 1418--1453 Nicola Guglielmi and Ernst Hairer Classification of Hidden Dynamics in Discontinuous Dynamical Systems . . . . 1454--1477 Andreas Bittracher and Péter Koltai and Oliver Junge Pseudogenerators of Spatial Transfer Operators . . . . . . . . . . . . . . . 1478--1517 Pingyu Nan and Yangyang Wang and Vivien Kirk and Jonathan E. Rubin Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris--Lecar System 1518--1557 Xiaojing Chen and Jifa Jiang and Lei Niu On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate 1558--1599 Pablo Aguirre Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit . . . . . . 1600--1643 Richard Moeckel The Foucault Pendulum (with a Twist) . . 1644--1662
Peter Giesl and Sigurdur Hafstein Computation and Verification of Lyapunov Functions . . . . . . . . . . . . . . . 1663--1698 Sheng-Yi Hsu and Mau-Hsiang Shih The Tendency toward a Moving Equilibrium 1699--1730 K. Uldall Kristiansen and S. J. Hogan Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup . . . . . . . . . . . . . . . . . 1731--1786 F. Garcia and J. Sánchez and E. Dormy and M. Net Oscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary Conditions . . . . . . 1787--1807 Kerry-Lyn Roberts and Jonathan E. Rubin and Martin Wechselberger Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model . . . . . . . . . . 1808--1844 Sean D. Lawley and James P. Keener A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary . . . 1845--1867 Pietro-Luciano Buono and Juancho A. Collera Symmetry-Breaking Bifurcations in Rings of Delay-Coupled Semiconductor Lasers 1868--1898 Carlo R. Laing Exact Neural Fields Incorporating Gap Junctions . . . . . . . . . . . . . . . 1899--1929 Jonathan Cannon and Nancy Kopell The Leaky Oscillator: Properties of Inhibition-Based Rhythms Revealed through the Singular Phase Response Curve . . . . . . . . . . . . . . . . . 1930--1977 M. B. Erdogan and J. L. Marzuola and K. Newhall and N. Tzirakis The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus . . . . . . . . . . 1978--1990 Joachim Escher and Matthieu Hillairet and Philippe Laurençot and Christoph Walker Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant . . . . 1991--2012 Justin Wiser and Martin Golubitsky Bifurcations in Forced Response Curves 2013--2029 Jielin Zhu and Rachel Kuske and Thomas Erneux Tipping Points Near a Delayed Saddle Node Bifurcation with Periodic Forcing 2030--2068 B. Rahman and K. B. Blyuss and Y. N. Kyrychko Dynamics of Neural Systems with Discrete and Distributed Time Delays . . . . . . 2069--2095 J. Gou and Y. X. Li and W. Nagata and M. J. Ward Synchronized Oscillatory Dynamics for a $1$-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion . . . . . . . . 2096--2137
D. Breda and O. Diekmann and M. Gyllenberg and F. Scarabel and R. Vermiglio Pseudospectral Discretization of Nonlinear Delay Equations: New Prospects for Numerical Bifurcation Analysis . . . 1--23 Jaap Eldering and Henry O. Jacobs The Role of Symmetry and Dissipation in Biolocomotion . . . . . . . . . . . . . 24--59 Samuel R. Carroll and Paul C. Bressloff Phase Equation for Patterns of Orientation Selectivity in a Neural Field Model of Visual Cortex . . . . . . 60--83 Federico Bizzarri and Alessandro Colombo and Fabio Dercole and Giancarlo Storti Gajani Necessary and Sufficient Conditions for the Noninvertibility of Fundamental Solution Matrices of a Discontinuous System . . . . . . . . . . . . . . . . . 84--105 Hiroki Takahasi Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation . . . . . . . . . . . . . . 106--124 Isabel Salgado Labouriau and Adrian Calin Murza Hopf Bifurcation with Tetrahedral and Octahedral Symmetry . . . . . . . . . . 125--141 Joshua L. Proctor and Steven L. Brunton and J. Nathan Kutz Dynamic Mode Decomposition with Control 142--161 Seung-Yeal Ha and Se Eun Noh and Jinyeong Park Synchronization of Kuramoto Oscillators with Adaptive Couplings . . . . . . . . 162--194 J. Inglis and J. MacLaurin A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations 195--234 Hadrien Montanelli and Nikola I. Gushterov Computing Planar and Spherical Choreographies . . . . . . . . . . . . . 235--256 Camille Poignard and Madalena Chaves and Jean-Luc Gouzé Periodic Oscillations for Nonmonotonic Smooth Negative Feedback Circuits . . . 257--286 Qihua Huang and Yu Jin and Mark A. Lewis $ R_0 $ Analysis of a Benthic-Drift Model for a Stream Population . . . . . 287--321 M. A. D. Aguiar and A. P. S. Dias and H. Ruan Synchrony and Elementary Operations on Coupled Cell Networks . . . . . . . . . 322--337 Elvise Berchio and Filippo Gazzola and Chiara Zanini Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems? . . . . . . . . . . 338--355 Daniel Wilczak and Sergio Serrano and Roberto Barrio Coexistence and Dynamical Connections between Hyperchaos and Chaos in the $4$D Rössler System: a Computer-Assisted Proof 356--390 Wilten Nicola and Sue Ann Campbell Nonsmooth Bifurcations of Mean Field Systems of Two-Dimensional Integrate and Fire Neurons . . . . . . . . . . . . . . 391--439 David Rusu and Manuele Santoprete Bifurcations of Central Configurations in the Four-Body Problem with Some Equal Masses . . . . . . . . . . . . . . . . . 440--458 Dirk Blömker and Evelyn Sander and Thomas Wanner Degenerate Nucleation in the Cahn--Hilliard--Cook Model . . . . . . . 459--494 Daniel Wilczak and Piotr Zgliczy\'nski Connecting Orbits for a Singular Nonautonomous Real Ginzburg--Landau Type Equation . . . . . . . . . . . . . . . . 495--525 Lee DeVille and Sairaj Dhople and Alejandro D. Domínguez-García and Jiangmeng Zhang Moment Closure and Finite-Time Blowup for Piecewise Deterministic Markov Processes . . . . . . . . . . . . . . . 526--556 Adam M. Fox and James D. Meiss Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps . . . . 557--579 Elif Köksal Ersöz and Mathieu Desroches and Martin Krupa and Frédérique Clément Canard-Mediated (De)Synchronization in Coupled Phantom Bursters . . . . . . . . 580--608 Andrew Roberts Canard Explosion and Relaxation Oscillation in Planar, Piecewise-Smooth, Continuous Systems . . . . . . . . . . . 609--624 María J. Garrido-Atienza and Kening Lu and Björn Schmalfuss Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $ H \in (1 / 3, 1 / 2] $ . . . . . . . . . . . . . . . . . 625--654
A. Doelman and P. van Heijster and F. Xie A Geometric Approach to Stationary Defect Solutions in One Space Dimension 655--712 J. Nathan Kutz and Xing Fu and Steven L. Brunton Multiresolution Dynamic Mode Decomposition . . . . . . . . . . . . . 713--735 Justin Bush and Wes Cowan and Shaun Harker and Konstantin Mischaikow Conley--Morse Databases for the Angular Dynamics of Newton's Method on the Plane 736--766 O. Shoshani and S. W. Shaw Generalized Parametric Resonance . . . . 767--788 Takeshi Watanabe and Makoto Iima and Yasumasa Nishiura A Skeleton of Collision Dynamics: Hierarchical Network Structure among Even-Symmetric Steady Pulses in Binary Fluid Convection . . . . . . . . . . . . 789--806 Murad Banaji and Casian Pantea Some Results on Injectivity and Multistationarity in Chemical Reaction Networks . . . . . . . . . . . . . . . . 807--869 Majid Gazor and Nasrin Sadri Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms . . . . . 870--903 J. C. Tzou and P. G. Kevrekidis and T. Kolokolnikov and R. Carretero-González Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross--Pitaevskii Equation . . . . . 904--922 Thorsten Hüls A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps . . . . . . . . . . . 923--951 B. Al-Hdaibat and W. Govaerts and Yu. A. Kuznetsov and H. G. E. Meijer Initialization of Homoclinic Solutions near Bogdanov--Takens Points: Lindstedt--Poincaré Compared with Regular Perturbation Method . . . . . . . . . . 952--980 Amadeu Delshams and Marina Gonchenko and Pere Gutiérrez Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio . . . . . . . 981--1024 Daniel S. Cargill and Richard O. Moore Incorporating Radiation in Noise-Induced Phase Evolution of Optical Solitons . . 1025--1061 N. T. Dieu and D. H. Nguyen and N. H. Du and G. Yin Classification of Asymptotic Behavior in a Stochastic SIR Model . . . . . . . . . 1062--1084 Sofia B. S. D. Castro and Alexander Lohse Switching in Heteroclinic Networks . . . 1085--1103 Hamed Razavi and Rohit Gupta and Fred C. Adams and Anthony M. Bloch Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model . . . . . . . . . . . . . . . . . 1104--1123 Nan Lu Persistence of Homoclinic Orbits under White Noise Perturbation . . . . . . . . 1124--1142 Bogdan Batko and Marian Mrozek Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems . . . . . . . . . . . . . . . . 1143--1162 Kaitlin Hill and Dorian S. Abbot and Mary Silber Analysis of an Arctic Sea Ice Loss Model in the Limit of a Discontinuous Albedo 1163--1192 A. Ben-Tal and I. G. Kevrekidis Coarse-Graining and Simplification of the Dynamics Seen in Bursting Neurons 1193--1226 Samuel A. Burden and S. Shankar Sastry and Daniel E. Koditschek and Shai Revzen Event-Selected Vector Field Discontinuities Yield Piecewise-Differentiable Flows . . . . . 1227--1267 R. de la Llave and J. D. Mireles James Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence . . . . . . . . . . 1268--1323 Howard A. Levine and Yeon-Jung Seo Erratum: Discrete Dynamical Systems in Multiple Target and Alternate SELEX . . 1324--1325
Carmeline J. Dsilva and Ronen Talmon and C. William Gear and Ronald R. Coifman and Ioannis G. Kevrekidis Data-Driven Reduction for a Class of Multiscale Fast--Slow Stochastic Dynamical Systems . . . . . . . . . . . 1327--1351 Alessandra Celletti and Catalin Gales and Giuseppe Pucacco Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits . . . 1352--1383 Ross P. Anderson and Geronimo Jimenez and Jin Yung Bae and Diana Silver and James Macinko and Maurizio Porfiri Understanding Policy Diffusion in the U.S.: an Information-Theoretical Approach to Unveil Connectivity Structures in Slowly Evolving Complex Systems . . . . . . . . . . . . . . . . 1384--1409 Sean D. Lawley Boundary Value Problems for Statistics of Diffusion in a Randomly Switching Environment: PDE and SDE Perspectives 1410--1433 Xiong Ding and Predrag Cvitanovi\'c Periodic Eigendecomposition and Its Application to Kuramoto--Sivashinsky System . . . . . . . . . . . . . . . . . 1434--1454 Jeffrey B. Dunworth and G. Bard Ermentrout Heterogeneity and Oscillations in Small Swarms . . . . . . . . . . . . . . . . . 1455--1484 Varsha S. Kulkarni Temporal Evolution of Social Innovation: What Matters? . . . . . . . . . . . . . 1485--1500 Miles Detrixhe and Marion Doubeck and Jeff Moehlis and Frédéric Gibou A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions 1501--1527 Andrew J. Bernoff and Chad M. Topaz Biological Aggregation Driven by Social and Environmental Factors: a Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation . . . . . . . . . . . . . 1528--1562 Daniel M. N. Maia and Elbert E. N. Macau and Tiago Pereira Persistence of Network Synchronization under Nonidentical Coupling Functions 1563--1580 Eva Lang A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields . . . . . . 1581--1614 Aleksander Czechowski and Piotr Zgliczy\'nski Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter 1615--1655 Andrew Keane and Bernd Krauskopf and Claire Postlethwaite Investigating Irregular Behavior in a Model for the El Niño Southern Oscillation with Positive and Negative Delayed Feedback . . . . . . . . . . . . 1656--1689 Evelyn Sander and Thomas Wanner Validated Saddle-Node Bifurcations and Applications to Lattice Dynamical Systems . . . . . . . . . . . . . . . . 1690--1733 Marcella M. Gomez and Richard M. Murray and Matthew R. Bennett The Effects of Time-Varying Temperature on Delays in Genetic Networks . . . . . 1734--1752 Tyler McMillen and Jack Xin and Yifeng Yu and Andrej Zlatos Ballistic Orbits and Front Speed Enhancement for ABC Flows . . . . . . . 1753--1782
Anna M. Barry and Alanna Hoyer-Leitzel Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex . . . . . . . . . . . . . . . . . 1783--1805 Holger R. Dullin and William Tong Twisting Somersault . . . . . . . . . . 1806--1822 Heather A. Brooks and Paul C. Bressloff A Mechanism for Turing Pattern Formation with Active and Passive Transport . . . 1823--1843 Marcella M. Gomez and Mehdi Sadeghpour and Matthew R. Bennett and Gábor Orosz and Richard M. Murray Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks . . . . . . . . . . 1844--1873 E. Steur and H. U. Ünal and C. van Leeuwen and W. Michiels Characterization and Computation of Partial Synchronization Manifolds for Diffusive Delay-Coupled Systems . . . . 1874--1915 Kelly McQuighan and C. Eugene Wayne An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis . . . . . . . . . . . . . . . . 1916--1961 G. Fantuzzi and D. Goluskin and D. Huang and S. I. Chernyshenko Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization . . . . . . . . . . . . . . 1962--1988 Peter Ashwin and Claire Postlethwaite Quantifying Noisy Attractors: From Heteroclinic to Excitable Networks . . . 1989--2016 Jamie M. Foster and Dmitry E. Pelinovsky Self-Similar Solutions for Reversing Interfaces in the Slow Diffusion Equation with Strong Absorption . . . . 2017--2050 Xianshan Yang and Xiong Li and Hao Wang and Yang Kuang Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge . . . . . . . . . . . . 2051--2077 Felix Dietrich and Gerta Köster and Hans-Joachim Bungartz Numerical Model Construction with Closed Observables . . . . . . . . . . . . . . 2078--2108 Ciprian Foias and Cecilia F. Mondaini and Edriss S. Titi A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics . . . . . . . . . . . . . . . 2109--2142 Alessio Franci and Rodolphe Sepulchre A Three-Scale Model of Spatio-Temporal Bursting . . . . . . . . . . . . . . . . 2143--2175 Bree Cummins and Tomas Gedeon and Shaun Harker and Konstantin Mischaikow and Kafung Mok Combinatorial Representation of Parameter Space for Switching Networks 2176--2212 Joep H. M. Evers and Theodore Kolokolnikov Metastable States for an Aggregation Model with Noise . . . . . . . . . . . . 2213--2226
Gianni Arioli and Hans Koch Families of Periodic Solutions for Some Hamiltonian PDEs . . . . . . . . . . . . 1--15 Petko M. Kitanov and Victor G. LeBlanc Dynamics of Meandering Spiral Waves with Weak Lattice Perturbations . . . . . . . 16--53 Sofia H. Piltz and Frits Veerman and Philip K. Maini and Mason A. Porter A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution . . 54--90 Maxim Arnold and Nikita Begun and Pavel Gurevich and Eyram Kwame and Harbir Lamba and Dmitrii Rachinskii Dynamics of Discrete Time Systems with a Hysteresis Stop Operator . . . . . . . . 91--119 Michael Dellnitz and Stefan Klus and Adrian Ziessler A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty . . . . . . . . . . . . . . 120--138 Eru Kurihara Dynamical Equations for Oscillating Nonspherical Bubbles with Nonlinear Interactions . . . . . . . . . . . . . . 139--158 J. F. Palacián and C. Vidal and J. Vidarte and P. Yanguas Periodic Solutions and KAM Tori in a Triaxial Potential . . . . . . . . . . . 159--187 Georgi S. Medvedev and J. Douglas Wright Stability of Twisted States in the Continuum Kuramoto Model . . . . . . . . 188--203 Kuo-Chang Chen and Ku-Jung Hsu and Bo-Yu Pan A Theory of Central Measures for Celestial Mechanics . . . . . . . . . . 204--225 J. L. Marzuola and S. G. Raynor and G. Simpson Nonlinear Bound States in a Schrödinger--Poisson System with External Potential . . . . . . . . . . . . . . . 226--251 David J. B. Lloyd and Arnd Scheel Continuation and Bifurcation of Grain Boundaries in the Swift--Hohenberg Equation . . . . . . . . . . . . . . . . 252--293 J. C. Tzou and S. Xie and T. Kolokolnikov and M. J. Ward The Stability and Slow Dynamics of Localized Spot Patterns for the $3$-D Schnakenberg Reaction--Diffusion Model 294--336 Min-Gi Lee and Athanasios Tzavaras Existence of Localizing Solutions in Plasticity via Geometric Singular Perturbation Theory . . . . . . . . . . 337--360 Jochen Bröcker Existence and Uniqueness for Four-Dimensional Variational Data Assimilation in Discrete Time . . . . . 361--374 Maciej J. Capi\'nski and J. D. Mireles James Validated Computation of Heteroclinic Sets . . . . . . . . . . . . . . . . . . 375--409 Peter W. Bates and Yusheng Jia and Guojian Lin and Hong Lu and Mingji Zhang Individual Flux Study via Steady-State Poisson--Nernst--Planck Systems: Effects from Boundary Conditions . . . . . . . . 410--430 Matt Holzer and Nikola Popovi\'c Wavetrain Solutions of a Reaction--Diffusion--Advection Model of Mussel--Algae Interaction . . . . . . . 431--478 A. Mauroy and J. Hendrickx Spectral Identification of Networks Using Sparse Measurements . . . . . . . 479--513 Yuri Cher and Gideon Simpson and Catherine Sulem Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation . . . . . . . . . . . . . . . . 514--545 John Mitry and Martin Wechselberger Folded Saddles and Faux Canards . . . . 546--596 Iain R. Moyles and Michael J. Ward Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime . . . . . . . . . . . 597--639 Andrus Giraldo and Bernd Krauskopf and Hinke M. Osinga Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B 640--686 Marcio Gameiro and Jean-Philippe Lessard A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE 687--728 Bryan Maelfeyt and Spencer A. Smith and Kevin A. Mitchell Using Invariant Manifolds to Construct Symbolic Dynamics for Three-Dimensional Volume-Preserving Maps . . . . . . . . . 729--769 Qihua Huang and Yu Jin and Mark A. Lewis Erratum: $ R_0 $ Analysis of a Benthic-Drift Model for a Stream Population . . . . . . . . . . . . . . . 770--770
Soizic Terrien and Bernd Krauskopf and Neil G. R. Broderick Bifurcation Analysis of the Yamada Model for a Pulsing Semiconductor Laser with Saturable Absorber and Delayed Optical Feedback . . . . . . . . . . . . . . . . 771--801 Badal Joshi and Anne Shiu Which Small Reaction Networks Are Multistationary? . . . . . . . . . . . . 802--833 Jordi-Lluís Figueras and Rafael de la Llave Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation . . . 834--852 Xiunan Wang and Xiao-Qiang Zhao Dynamics of a Time-Delayed Lyme Disease Model with Seasonality . . . . . . . . . 853--881 Soledad Le Clainche and José M. Vega Higher Order Dynamic Mode Decomposition 882--925 Tahir Bachar Issa and Wenxian Shen Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources . . . . . . . . . . . . 926--973 Carlo R. Laing Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit 974--1014 Sanjeeva Balasuriya Transport between Two Fluids across Their Mutual Flow Interface: The Streakline Approach . . . . . . . . . . 1015--1044 Peter Langfield and Wilson L. C. Façanha and Bart Oldeman and Leon Glass Bifurcations in a Periodically Stimulated Limit Cycle Oscillator with Finite Relaxation Times . . . . . . . . 1045--1069 Jordi-Lluís Figueras and Marcio Gameiro and Jean-Philippe Lessard and Rafael de la Llave A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations . . . . . . . . . . 1070--1088 Victoria Booth and Ismael Xique and Cecilia G. Diniz Behn One-Dimensional Map for the Circadian Modulation of Sleep in a Sleep-Wake Regulatory Network Model for Human Sleep 1089--1112 Lotte Sewalt and Arjen Doelman Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model . . . . . . . . . . . . . . . . . 1113--1163 Boris Kramer and Piyush Grover and Petros Boufounos and Saleh Nabi and Mouhacine Benosman Sparse Sensing and DMD-Based Identification of Flow Regimes and Bifurcations in Complex Flows . . . . . 1164--1196
Daniel B. Poll and Zachary P. Kilpatrick Velocity Integration in a Multilayer Neural Field Model of Spatial Working Memory . . . . . . . . . . . . . . . . . 1197--1234 Hayato Chiba A Center Manifold Reduction of the Kuramoto--Daido Model with a Phase-Lag 1235--1259 R. C. Fetecau and M. Kovacic Swarm Equilibria in Domains with Boundaries . . . . . . . . . . . . . . . 1260--1308 David F. Anderson and Daniele Cappelletti and Thomas G. Kurtz Finite Time Distributions of Stochastically Modeled Chemical Systems with Absolute Concentration Robustness 1309--1339 Oleg Makarenkov Bifurcation of Limit Cycles from a Fold-Fold Singularity in Planar Switched Systems . . . . . . . . . . . . . . . . 1340--1371 Maurizio Porfiri and Igor Belykh Memory Matters in Synchronization of Stochastically Coupled Maps . . . . . . 1372--1396 A. Guillamon and R. Prohens and A. E. Teruel and C. Vich Estimation of Synaptic Conductance in the Spiking Regime for the McKean Neuron Model . . . . . . . . . . . . . . . . . 1397--1424 Pedro Toniol Cardin and Marco Antonio Teixeira Fenichel Theory for Multiple Time Scale Singular Perturbation Problems . . . . . 1425--1452 Maciej J. Capi\'nski and Anna Wasieczko-Zaj\kac Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model . . . . . . . . . . . . 1453--1473 R. C. Calleja and A. R. Humphries and B. Krauskopf Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays . . . . . . . . . 1474--1513 R. A. Mitchell and J. D. Meiss Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps . . . . . . . . . . . . . . . . . . 1514--1542 Reginald J. Caginalp and Brent Doiron Decision Dynamics in Groups with Interacting Members . . . . . . . . . . 1543--1562 Boris Kramer and Benjamin Peherstorfer and Karen Willcox Feedback Control for Systems with Uncertain Parameters Using Online-Adaptive Reduced Models . . . . . 1563--1586 Bogdan Batko Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. Part II: Properties of the Index . . . . . . . . . . . . . . . . . 1587--1617 Daniel Wilczak and Roberto Barrio Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori 1618--1649 Christian Kuehn and Christian Münch Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems . . . . . . 1650--1685 Mehdi Saghafi and Harry Dankowicz and Whitney Tabor Emergent Task Differentiation on Network Filters . . . . . . . . . . . . . . . . 1686--1709 Anders Thorin and Pierre Delezoide and Mathias Legrand Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators . . 1710--1747 J. L. Gonzalez and J. D. Mireles James High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps . . . . . . . . 1748--1795
Nicolas Verschueren and Alan Champneys A Model for Cell Polarization Without Mass Conservation . . . . . . . . . . . 1797--1830 Chunqiu Li and Desheng Li and Zhijun Zhang Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations . . . . . 1831--1868 Pedro Soares Synchrony Branching Lemma for Regular Networks . . . . . . . . . . . . . . . . 1869--1892 Eric N. Cytrynbaum and Kelly M. Paton An Invariant Winding Number for the FitzHugh--Nagumo System with Applications to Cardiac Dynamics . . . . 1893--1922 Shuai Liu and Wei Zou and MiaoZhuang He and Jürgen Kurths and Meng Zhan Global Stability of the Sync with Amplitude Effects . . . . . . . . . . . 1923--1945 Nir Gavish and Idan Versano and Arik Yochelis Spatially Localized Self-Assembly Driven by Electrically Charged Phase Separation 1946--1968 Farshad Shirani and Wassim M. Haddad and Rafael de la Llave On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex . . . . . . . . . . . . 1969--2029 Yongli Song and Heping Jiang and Quan-Xing Liu and Yuan Yuan Spatiotemporal Dynamics of the Diffusive Mussel--Algae Model Near Turing--Hopf Bifurcation . . . . . . . . . . . . . . 2030--2062 Kazuyuki Yoshimura Existence and Stability of Odd and Even Parity Discrete Breathers in Fermi--Pasta--Ulam Lattices . . . . . . 2063--2095 Hassan Arbabi and Igor Mezi\'c Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator . . . . . . . . . . . . . . . . 2096--2126 Jennifer L. Creaser and Bernd Krauskopf and Hinke M. Osinga Finding First Foliation Tangencies in the Lorenz System . . . . . . . . . . . 2127--2164 Cris R. Hasan and Bernd Krauskopf and Hinke M. Osinga Mixed-Mode Oscillations and Twin Canard Orbits in an Autocatalytic Chemical Reaction . . . . . . . . . . . . . . . . 2165--2195 Suddhasattwa Das and James A. Yorke Multichaos from Quasiperiodicity . . . . 2196--2212 Adam Mahdi and Antoni Ferragut and Claudia Valls and Carsten Wiuf Conservation Laws in Biochemical Reaction Networks . . . . . . . . . . . 2213--2232 Elena Bossolini and Morten Bròns and Kristian Uldall Kristiansen Canards in Stiction: On Solutions of a Friction Oscillator by Regularization 2233--2258 Daniele Cappelletti and Carsten Wiuf Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks . . . . 2259--2286 Joep H. M. Evers and Razvan C. Fetecau and Theodore Kolokolnikov Equilibria for an Aggregation Model with Two Species . . . . . . . . . . . . . . 2287--2338
Samuel R. Carroll and Paul C. Bressloff Symmetric Bifurcations in a Neural Field Model for Encoding the Direction of Spatial Contrast Gradients . . . . . . . 1--51 Jorge Galán and Daniel Núñez and Andrés Rivera Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem . . . . . . . . . . . . 52--77 P. Acosta-Humánez and M. Alvarez-Ramírez and T. J. Stuchi Nonintegrability of the Armbruster--Guckenheimer--Kim Quartic Hamiltonian Through Morales--Ramis Theory . . . . . . . . . . . . . . . . . 78--96 Oleh E. Omel'chenko and Matthias Wolfrum and Edgar Knobloch Stability of Spiral Chimera States on a Torus . . . . . . . . . . . . . . . . . 97--127 Jared C. Bronski and Timothy Ferguson Volume Bounds for the Phase-Locking Region in the Kuramoto Model . . . . . . 128--156 William D. Kalies and Shane Kepley and J. D. Mireles James Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds . . . . . 157--202 Alessandra Celletti and Catalin Gales Dynamics of Resonances and Equilibria of Low Earth Objects . . . . . . . . . . . 203--235 Paul Carter and Björn Sandstede Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System . . . . . . . . 236--349 Saeed Farjami and Vivien Kirk and Hinke M. Osinga Computing the Stable Manifold of a Saddle Slow Manifold . . . . . . . . . . 350--379 Travis Askham and J. Nathan Kutz Variable Projection Methods for an Optimized Dynamic Mode Decomposition . . 380--416 Mahdi Bandegi and David Shirokoff Approximate Global Minimizers to Pairwise Interaction Problems via Convex Relaxation . . . . . . . . . . . . . . . 417--456 Wenlian Lu and Fatihcan M. Atay Stability of Phase Difference Trajectories of Networks of Kuramoto Oscillators with Time-Varying Couplings and Intrinsic Frequencies . . . . . . . 457--483 Timothy Ferguson Topological States in the Kuramoto Model 484--499 Jennifer Creaser and Krasimira Tsaneva-Atanasova and Peter Ashwin Sequential Noise-Induced Escapes for Oscillatory Network Dynamics . . . . . . 500--525 Florian Hofherr and Daniel Karrasch Lagrangian Transport through Surfaces in Compressible Flows . . . . . . . . . . . 526--546 Davide Lasagna Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits . . . . . 547--580 Seung-Yeal Ha and Dongnam Ko and Yinglong Zhang Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration . . . . . . . . . . . . 581--625 Zahra Aminzare and Vaibhav Srivastava and Philip Holmes Gait Transitions in a Phase Oscillator Model of an Insect Central Pattern Generator . . . . . . . . . . . . . . . 626--671 Ernesto Estrada and Lucia Valentina Gambuzza and Mattia Frasca Long-Range Interactions and Network Synchronization . . . . . . . . . . . . 672--693 Jacek Cyranka and Thomas Wanner Computer-Assisted Proof of Heteroclinic Connections in the One-Dimensional Ohta--Kawasaki Model . . . . . . . . . . 694--731 Pascal Heiter and Dirk Lebiedz Towards Differential Geometric Characterization of Slow Invariant Manifolds in Extended Phase Space: Sectional Curvature and Flow Invariance 732--753 Paul Cornwell and Christopher K. R. T. Jones On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System . . . . . . . . 754--787 Cheng Wang and Xiang Zhang Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems . . 788--822 Mate Antali and Gabor Stepan Sliding and Crossing Dynamics in Extended Filippov Systems . . . . . . . 823--858 K. Uldall Kristiansen and S. J. Hogan Le Canard de Painlevé . . . . . . . . . . 859--908 Joshua L. Proctor and Steven L. Brunton and J. Nathan Kutz Generalizing Koopman Theory to Allow for Inputs and Control . . . . . . . . . . . 909--930 Youngmin Park and G. Bard Ermentrout Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation . . . . 931--981 J. C. Tzou and M. J. Ward and J. C. Wei Anomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction--Diffusion Systems in Two Dimensions . . . . . . . . . . . . . . . 982--1022 Brian Menezes and Gareth E. Roberts Existence and Stability of Four-Vortex Collinear Relative Equilibria with Three Equal Vorticities . . . . . . . . . . . 1023--1051 Elif Köksal Ersöz and Alexandre Vidal and Frédérique Clément Coupled Multiple Timescale Dynamics in Populations of Endocrine Neurons: Pulsatile and Surge Patterns of GnRH Secretion . . . . . . . . . . . . . . . 1052--1090
Camille Poignard and Madalena Chaves and Jean-Luc Gouzé A Stability Result for Periodic Solutions of Nonmonotonic Smooth Negative Feedback Systems . . . . . . . 1091--1116 Mingwu Li and Harry Dankowicz Staged Construction of Adjoints for Constrained Optimization of Integro-Differential Boundary-Value Problems . . . . . . . . . . . . . . . . 1117--1151 Jana de Wiljes and Sebastian Reich and Wilhelm Stannat Long-Time Stability and Accuracy of the Ensemble Kalman--Bucy Filter for Fully Observed Processes and Small Measurement Noise . . . . . . . . . . . . . . . . . 1152--1181 Christopher J. Lustri and Mason A. Porter Nanoptera in a Period-2 Toda Chain . . . 1182--1212 Ankit Gupta and Mustafa Khammash Computational Identification of Irreducible State-Spaces for Stochastic Reaction Networks . . . . . . . . . . . 1213--1266 Arne Nordmark and Peter L. Várkonyi and Alan R. Champneys Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity . . . . 1267--1309 Pietro-Luciano Buono and Bernard Chan and Jocirei Ferreira and Antonio Palacios and Steven Reeves and Patrick Longhini and Visarath In Symmetry-Breaking Bifurcations and Patterns of Oscillations in Rings of Crystal Oscillators . . . . . . . . . . 1310--1352 Jiajun Lu and Frank Baginski and Xiaofeng Ren Equilibrium Configurations of Boundary Droplets in a Self-Organizing Inhibitory System . . . . . . . . . . . . . . . . . 1353--1376 Nikita Agarwal A Simple Loop Dwell Time Approach for Stability of Switched Systems . . . . . 1377--1394 José Mujica and Bernd Krauskopf and Hinke M. Osinga Tangencies Between Global Invariant Manifolds and Slow Manifolds Near a Singular Hopf Bifurcation . . . . . . . 1395--1431 Xue Gong and Martin J. Mohlenkamp and Todd R. Young The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor . . . 1432--1477 A. S. Alnahdi and J. Niesen and A. M. Rucklidge Localized Patterns in Periodically Forced Systems: II. Patterns with Nonzero Wavenumber . . . . . . . . . . . 1478--1502 Xiang Wei and Xiaoqun Wu and Shihua Chen and Jun-an Lu and Guanrong Chen Cooperative Epidemic Spreading on a Two-Layered Interconnected Network . . . 1503--1520 Hanbaek Lyu Global Synchronization of Pulse-Coupled Oscillators on Trees . . . . . . . . . . 1521--1559 Seung-Yeal Ha and Jaeseung Lee and Zhuchun Li and Jinyeong Park Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning . . . 1560--1588 Bree Cummins and Tomas Gedeon and Shaun Harker and Konstantin Mischaikow Model Rejection and Parameter Reduction via Time Series . . . . . . . . . . . . 1589--1616 William D. Kalies and Dinesh Kasti and Robert Vandervorst An Algorithmic Approach to Lattices and Order in Dynamics . . . . . . . . . . . 1617--1649 Mercedes Pérez Millán and Alicia Dickenstein The Structure of MESSI Biological Systems . . . . . . . . . . . . . . . . 1650--1682 Paul Reverdy and Daniel E. Koditschek A Dynamical System for Prioritizing and Coordinating Motivations . . . . . . . . 1683--1715 Jinxing Zhang and Jiandong Zhu and Chunjiang Qian On Equilibria and Consensus of the Lohe Model with Identical Oscillators . . . . 1716--1741 Robert Schwieger and Heike Siebert and Susanna Röblitz Correspondence of Trap Spaces in Different Models of Bioregulatory Networks . . . . . . . . . . . . . . . . 1742--1765 Blake Barker and Jeffrey Humpherys and Gregory Lyng and Kevin Zumbrun Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations . . . . . . . . . . . . . . 1766--1785 Stefano Mar\`o and Giovanni F. Gronchi Long Term Dynamics for the Restricted $N$-Body Problem with Mean Motion Resonances and Crossing Singularities 1786--1815 Martin Golubitsky and Ian Stewart Homeostasis with Multiple Inputs . . . . 1816--1832 Arjen Doelman and Jens Rademacher and Björn de Rijk and Frits Veerman Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit 1833--1890 Gary Froyland and Oliver Junge Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories . . . . . . . . . . . . . . 1891--1924 Erik M. Bollt and Qianxiao Li and Felix Dietrich and Ioannis Kevrekidis On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions . . . . . . . . 1925--1960
Itay Grinberg and Oleg V. Gendelman Localization in Finite Asymmetric Vibro-Impact Chains . . . . . . . . . . 1961--1988 Mathieu Desroches and Vivien Kirk Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards . . 1989--2017 Wang Hung Tse and Michael J. Ward Asynchronous Instabilities of Crime Hotspots for a $1$-D Reaction--Diffusion Model of Urban Crime with Focused Police Patrol . . . . . . . . . . . . . . . . . 2018--2075 Oleksandr Burylko and Alexander Mielke and Matthias Wolfrum and Serhiy Yanchuk Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling . . . . . . . . . . . . . . . . 2076--2105 Peter Bates and Giorgio Fusco and Georgia Karali Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria . . . . . . 2106--2145 Daniele Cappelletti and Badal Joshi Graphically Balanced Equilibria and Stationary Measures of Reaction Networks 2146--2175 Ealasukanthan Thavanayagam and David J. N. Wall Modeling of Spatial Dynamical Silence in the Macro Arterial Domain . . . . . . . 2176--2204 Paul C. Bressloff and James N. MacLaurin A Variational Method for Analyzing Stochastic Limit Cycle Oscillators . . . 2205--2233 Zin Arai and Yutaka Ishii and Hiroki Takahasi Boundary of the Horseshoe Locus for the Hénon Family . . . . . . . . . . . . . . 2234--2248 Kaname Matsue On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications . . . . . . . . . . . 2249--2288 Jordi Villanueva A Parameterization Method for Lagrangian Tori of Exact Symplectic Maps of $ R^2 r $ . . . . . . . . . . . . . . . . . . . 2289--2331 Benjamin Goodman and Paul F. Tupper Stability and Fluctuations in a Simple Model of Phonetic Category Change . . . 2332--2351 María J. Garrido-Atienza and Björn Schmalfuss Local Stability of Differential Equations Driven by Hölder--Continuous Paths with Hölder Index in $ (1 / 3, 1 / 2) $ . . . . . . . . . . . . . . . . . . 2352--2380
Shaowu Pan and Karthik Duraisamy Data-Driven Discovery of Closure Models 2381--2413 Benjamin Letson and Jonathan E. Rubin A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane . . . . . . . . . . . . . . 2414--2445 Bart de Leeuw and Svetlana Dubinkina and Jason Frank and Andrew Steyer and Xuemin Tu and Erik Van Vleck Projected Shadowing-Based Data Assimilation . . . . . . . . . . . . . . 2446--2477 Senka Ma\'cesi\'c and Nelida Crnjari\'c-Zic and Igor Mezi\'c Koopman Operator Family Spectrum for Nonautonomous Systems . . . . . . . . . 2478--2515 Dan Wilson and Bard Ermentrout An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators . . . 2516--2543 Lachlan D. Smith and Paul B. Umbanhowar and Julio M. Ottino and Richard M. Lueptow Optimized Mixing by Cutting-and-Shuffling . . . . . . . . . 2544--2573 Jan Sieber and Christian Marschler and Jens Starke Convergence of Equation-Free Methods in the Case of Finite Time Scale Separation with Application to Deterministic and Stochastic Systems . . . . . . . . . . . 2574--2614 Scott G. McCalla and James H. von Brecht Consistent Dynamics of Stripes Formed by Cell-Type Interfaces . . . . . . . . . . 2615--2633 Bente Bakker and Jan Bouwe van den Berg and Rob Vandervorst A Floer Homology Approach to Traveling Waves in Reaction--Diffusion Equations on Cylinders . . . . . . . . . . . . . . 2634--2706 Michal Pnueli and Vered Rom-Kedar On Near Integrability of Some Impact Systems . . . . . . . . . . . . . . . . 2707--2732 Joan Saldaña and Maria Aguareles and Albert Avinyó and Marta Pellicer and Jordi Ripoll An Age-Structured Population Approach for the Mathematical Modeling of Urban Burglaries . . . . . . . . . . . . . . . 2733--2760 Olga Trichtchenko and Bernard Deconinck and Richard Kollár Stability of Periodic Traveling Wave Solutions to the Kawahara Equation . . . 2761--2783 Andrus Giraldo and Bernd Krauskopf and Hinke M. Osinga Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: a Case Study . . . . . . . 2784--2829 Lorenzo Zino and Alessandro Rizzo and Maurizio Porfiri Modeling Memory Effects in Activity-Driven Networks . . . . . . . . 2830--2854 Maria-Veronica Ciocanel and Bjorn Sandstede and Samantha P. Jeschonek and Kimberly L. Mowry Modeling Microtubule-Based Transport and Anchoring of mRNA . . . . . . . . . . . 2855--2881 Lea Oljaca and Jochen Bröcker and Tobias Kuna Almost Sure Error Bounds for Data Assimilation in Dissipative Systems with Unbounded Observation Noise . . . . . . 2882--2914 K. Uldall Kristiansen and S. J. Hogan Erratum: Le Canard de Painlevé . . . . . 2915--2916
Angelo Alberti and Claudio Vidal Singularities and Dynamics Aspects of a Particle in a Gravitational Field of a Central Punctual Body Surrounded by a Solid Circular Ring . . . . . . . . . . 1--32 Ting-Hao Hsu Number and Stability of Relaxation Oscillations for Predator--Prey Systems with Small Death Rates . . . . . . . . . 33--67 Elisa Tonello and Etienne Farcot and Claudine Chaouiya Local Negative Circuits and Cyclic Attractors in Boolean Networks with at most Five Components . . . . . . . . . . 68--79 Seung-Yeal Ha and Dohyun Kim A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics . . . . . . 80--116 Ruben J. Tomlin and Susana N. Gomes and Grigorios A. Pavliotis and Demetrios T. Papageorgiou Optimal Control of Thin Liquid Films and Transverse Mode Effects . . . . . . . . 117--149 Jinrong Bao and Anatoly Neishtadt Separatrix Crossing in Rotation of a Body with Changing Geometry of Masses 150--171 Joaquín Delgado and Claudio Vidal Dynamics of the Parabolic Restricted Collinear Three-Body Problem . . . . . . 172--204 C. H. S. Hamster and H. J. Hupkes Stability of Traveling Waves for Reaction--Diffusion Equations with Multiplicative Noise . . . . . . . . . . 205--278 Sophia Novitzky and Jamol Pender and Richard H. Rand and Elizabeth Wesson Nonlinear Dynamics in Queueing Theory: Determining the Size of Oscillations in Queues with Delay . . . . . . . . . . . 279--311 Kathleen P. Champion and Steven L. Brunton and J. Nathan Kutz Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings . . . . . . . . . . . . . . . 312--333 Josep M. Cors and Jesús F. Palacián and Patricia Yanguas On Co-Orbital Quasi-Periodic Motion in the Three-Body Problem . . . . . . . . . 334--353 Euiwoo Lee and David Terman Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons . . 354--392 Kazuyuki Yagasaki and Shotaro Yamazoe Bifurcation of Relative Equilibria in Infinite-Dimensional Hamiltonian Systems 393--417 Peter Crawford-Kahrl and Bree Cummins and Tomas Gedeon Comparison of Combinatorial Signatures of Global Network Dynamics Generated by Two Classes of ODE Models . . . . . . . 418--457 Robin Delabays and Philippe Jacquod and Florian Dörfler The Kuramoto Model on Oriented and Signed Graphs . . . . . . . . . . . . . 458--480 Radhouane Fekih-Salem and Tewfik Sari Properties of the Chemostat Model with Aggregated Biomass and Distinct Removal Rates . . . . . . . . . . . . . . . . . 481--509 Tamal K. Dey and Mateusz Juda and Tomasz Kapela and Jacek Kubica and Micha\l Lipi\'nski and Marian Mrozek Persistent Homology of Morse Decompositions in Combinatorial Dynamics 510--530 Canrong Tian and Shigui Ruan Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network . . . . . . . . . . . . . . 531--557 Samuel E. Otto and Clarence W. Rowley Linearly Recurrent Autoencoder Networks for Learning Dynamics . . . . . . . . . 558--593 Nicolas Verschueren and Alan Champneys Erratum: A Model for Cell Polarization without Mass Conservation . . . . . . . 594--595
Christopher Griffin and Sarah Rajtmajer and Anna Squicciarini and Andrew Belmonte Consensus and Information Cascades in Game-Theoretic Imitation Dynamics with Static and Dynamic Network Topologies 597--628 Hao Sun and Junfeng Li Application of Topological Degree Theory to the Equilibrium Point in Irregular Gravitational Field . . . . . . . . . . 629--642 Samuel Rudy and Alessandro Alla and Steven L. Brunton and J. Nathan Kutz Data-Driven Identification of Parametric Partial Differential Equations . . . . . 643--660 Annalisa Iuorio and Nikola Popovi\'c and Peter Szmolyan Singular Perturbation Analysis of a Regularized MEMS Model . . . . . . . . . 661--708 Harry J. Dudley and Lu Lu and Zhiyong Jason Ren and David M. Bortz Sensitivity and Bifurcation Analysis of a Differential--Algebraic Equation Model for a Microbial Electrolysis Cell . . . 709--728 Daniel Gomez and Michael J. Ward and Juncheng Wei The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer--Meinhardt Model . . . . . . . . 729--768 Randolph J. Leiser and Horacio G. Rotstein Network Resonance: Impedance Interactions via a Frequency Response Alternating Map (FRAM) . . . . . . . . . 769--807 Daniel C. De Souza and A. R. Humphries Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model . . . . . . . 808--852 Mathieu Lauri\`ere and Laurent Mertz Penalization of Nonsmooth Dynamical Systems with Noise: Ergodicity and Asymptotic Formulae for Threshold Crossings Probabilities . . . . . . . . 853--880 Jacob P. Duncan and Teresa Aubele-Futch and Monica McGrath A Fast-Slow Dynamical System Model of Addiction: Predicting Relapse Frequency 881--903 John M. Neuberger and Nándor Sieben and James W. Swift Synchrony and Antisynchrony for Difference-Coupled Vector Fields on Graph Network Systems . . . . . . . . . 904--938 Jicai Huang and Shigui Ruan and Pei Yu and Yuyue Zhang Bifurcation Analysis of a Mosquito Population Model with a Saturated Release Rate of Sterile Mosquitoes . . . 939--972 Hermen Jan Hupkes and Leonardo Morelli and Petr Stehlík Bichromatic Travelling Waves for Lattice Nagumo Equations . . . . . . . . . . . . 973--1014 Alexander Ziepke and Steffen Martens and Harald Engel Control of Nonlinear Wave Solutions to Neural Field Equations . . . . . . . . . 1015--1036 Zahra Aminzare and Philip Holmes Heterogeneous Inputs to Central Pattern Generators Can Shape Insect Gaits . . . 1037--1059 Courtney Quinn and Jan Sieber and Anna S. von der Heydt Effects of Periodic Forcing on a Paleoclimate Delay Model . . . . . . . . 1060--1077 M. Avery and R. Goh and O. Goodloe and A. Milewski and A. Scheel Growing Stripes, with and without Wrinkles . . . . . . . . . . . . . . . . 1078--1117 Emine Celik and Eric Olson and Edriss S. Titi Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm 1118--1142 Antoine Blanchard and Themistoklis P. Sapsis Analytical Description of Optimally Time-Dependent Modes for Reduced-Order Modeling of Transient Instabilities . . 1143--1162 Zhou Fang and Chuanhou Gao Lyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special Cases . . . . . . 1163--1199 Hidetoshi Morita and Masaru Inatsu and Hiroshi Kokubu Topological Computation Analysis of Meteorological Time-Series Data . . . . 1200--1222 Pedro Toniol Cardin and Marco Antonio Teixeira Corrigendum: Fenichel Theory for Multiple Time Scale Singular Perturbation Problems . . . . . . . . . 1223--1223
Panagiotis Kaklamanos and Kristian U. Kristiansen Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets . . . . . . . . . . . 1225--1264 Adrian Ziessler and Michael Dellnitz and Raphael Gerlach The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques . . . . . . . . . . . . . . . 1265--1292 Martin J. Mohlenkamp The Dynamics of Swamps in the Canonical Tensor Approximation Problem . . . . . . 1293--1333 Frédéric Paquin-Lefebvre and Wayne Nagata and Michael J. Ward Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction--Diffusion System 1334--1390 Arnaud Tonnelier Signal Propagations along Excitable Chains . . . . . . . . . . . . . . . . . 1391--1419 Jason J. Bramburger and Dylan Altschuler and Chloe I. Avery and Tharathep Sangsawang and Margaret Beck and Paul Carter and Björn Sandstede Localized Radial Roll Patterns in Higher Space Dimensions . . . . . . . . . . . . 1420--1453 Nithin Govindarajan and Ryan Mohr and Shivkumar Chandrasekaran and Igor Mezic On the Approximation of Koopman Spectra for Measure Preserving Transformations 1454--1497 Feng-Bin Wang and Ruiwen Wu and Xiao-Qiang Zhao A West Nile Virus Transmission Model with Periodic Incubation Periods . . . . 1498--1535 Peter Giesl Computation of a Contraction Metric for a Periodic Orbit Using Meshfree Collocation . . . . . . . . . . . . . . 1536--1564 Omri Azencot and Wotao Yin and Andrea Bertozzi Consistent Dynamic Mode Decomposition 1565--1585 Hao Zhang and Clarence W. Rowley and Eric A. Deem and Louis N. Cattafesta Online Dynamic Mode Decomposition for Time-Varying Systems . . . . . . . . . . 1586--1609 Sarah Day and Rafael Frongillo Sofic Shifts via Conley Index Theory: Computing Lower Bounds on Recurrent Dynamics for Maps . . . . . . . . . . . 1610--1642 Thomas Chartrand and Mark S. Goldman and Timothy J. Lewis Synchronization of Electrically Coupled Resonate-and-Fire Neurons . . . . . . . 1643--1693 Melinda Liu Perkins and Murat Arcak A Spatial Filtering Approach to Biological Patterning . . . . . . . . . 1694--1721
Adilbek Kairzhan and Dmitry E. Pelinovsky and Roy H. Goodman Drift of Spectrally Stable Shifted States on Star Graphs . . . . . . . . . 1723--1755 François Baccelli and Thibaud Taillefumier Replica-Mean-Field Limits for Intensity-Based Neural Networks . . . . 1756--1797 José A. Carrillo and Bertram Düring and Lisa Maria Kreusser and Carola-Bibiane Schönlieb Stability Analysis of Line Patterns of an Anisotropic Interaction Model . . . . 1798--1845 Marc Briane Isotropic Realizability of Fields and Reconstruction of Invariant Measures under Positivity Properties. Asymptotics of the Flow by a Non-Ergodic Approach 1846--1866 N. Benjamin Erichson and Lionel Mathelin and J. Nathan Kutz and Steven L. Brunton Randomized Dynamic Mode Decomposition 1867--1891 David J. B. Lloyd Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation . . . . . . . 1892--1933 Gaoyang Fan and Giovanni Russo and Paul C. Bressloff Node-to-Node and Node-to-Medium Synchronization in Quorum Sensing Networks Affected by State-Dependent Noise . . . . . . . . . . . . . . . . . 1934--1953 Young-Pil Choi and Dante Kalise and Jan Peszek and Andrés A. Peters A Collisionless Singular Cucker--Smale Model with Decentralized Formation Control . . . . . . . . . . . . . . . . 1954--1981 Dan D. Wilson An Optimal Framework for Nonfeedback Stability Control of Chaos . . . . . . . 1982--1999 Wei Zhang and Stefan Klus and Tim Conrad and Christof Schütte Learning Chemical Reaction Networks from Trajectory Data . . . . . . . . . . . . 2000--2046 Michiel Wouters and Wim Vanroose Automatic Exploration Techniques of Numerical Bifurcation Diagrams Illustrated by the Ginzburg--Landau Equation . . . . . . . . . . . . . . . . 2047--2098 Rafael de la Llave and Florian Kogelbauer Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations . . . . . . . 2099--2142 Alexandre Bayen and Alexander Keimer and Emily Porter and Michele Spinola Time-Continuous Instantaneous and Past Memory Routing on Traffic Networks: a Mathematical Analysis on the Basis of the Link-Delay Model . . . . . . . . . . 2143--2180 Ricky X. F. Chen and Andrei C. Bura and Christian M. Reidys D-Chain Tomography of Networks: a New Structure Spectrum and an Application to the SIR Process . . . . . . . . . . . . 2181--2201 Stephanie Dodson and Björn Sandstede Determining the Source of Period-Doubling Instabilities in Spiral Waves . . . . . . . . . . . . . . . . . 2202--2226 Rico Berner and Eckehard Schöll and Serhiy Yanchuk Multiclusters in Networks of Adaptively Coupled Phase Oscillators . . . . . . . 2227--2266 Igor Belykh and Douglas Carter and Russell Jeter Synchronization in Multilayer Networks: When Good Links Go Bad . . . . . . . . . 2267--2302 Fatima Drubi and Alfonso Ruiz-Herrera Understanding Bacterial Cheating: Biological and Practical Implications 2303--2324
Robbin Bastiaansen and Martina Chirilus-Bruckner and Arjen Doelman Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients . . . . . . . . . . . . . . 1--57 Benjamin Letson and Jonathan E. Rubin LOR for Analysis of Periodic Dynamics: a One-Stop Shop Approach . . . . . . . . . 58--84 George Haller and Daniel Karrasch and Florian Kogelbauer Barriers to the Transport of Diffusive Scalars in Compressible Flows . . . . . 85--123 Chuang Ma and Han-Shuang Chen and Xiang Li and Ying-Cheng Lai and Hai-Feng Zhang Data Based Reconstruction of Duplex Networks . . . . . . . . . . . . . . . . 124--150 Paul C. Bressloff and James N. MacLaurin Phase Reduction of Stochastic Biochemical Oscillators . . . . . . . . 151--180 Rui Dilão and Manuel Murteira Principal Periodic Orbits of the Keplerian Dumbbell System . . . . . . . 181--207 Piotr S\lowi\'nski and Sohaib Al-Ramadhani and Krasimira Tsaneva-Atanasova Neurologically Motivated Coupling Functions in Models of Motor Coordination . . . . . . . . . . . . . . 208--232 Wen Huang and Hong Qian and Shirou Wang and Felix X.-F. Ye and Yingfei Yi Synchronization in Discrete-Time, Discrete-State Random Dynamical Systems 233--251 Maikel M. Bosschaert and Sebastiaan G. Janssens and Yu. A. Kuznetsov Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations . . . . . . . . . . . . . . . 252--303 Jiu-Gang Dong and Seung-Yeal Ha and Doheon Kim Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph 304--328 Yoshihiko Susuki and Igor Mezi\'c Invariant Sets in Quasiperiodically Forced Dynamical Systems . . . . . . . . 329--351 Balázs Boros and Josef Hofbauer Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class . . . . . . . . . . . . . 352--365 Punit Gandhi and Martin Golubitsky and Claire Postlethwaite and Ian Stewart and Yangyang Wang Bifurcations on Fully Inhomogeneous Networks . . . . . . . . . . . . . . . . 366--411 Alfredo Garbuno-Inigo and Franca Hoffmann and Wuchen Li and Andrew M. Stuart Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler . . . . . . . . . . . . . . . . 412--441 Arnd Bäcker and James D. Meiss Elliptic Bubbles in Moser's $4$D Quadratic Map: The Quadfurcation . . . . 442--479 Shaowu Pan and Karthik Duraisamy Physics-Informed Probabilistic Learning of Linear Embeddings of Nonlinear Dynamics with Guaranteed Stability . . . 480--509 A. Farhat and N. E. Glatt-Holtz and V. R. Martinez and S. A. McQuarrie and J. P. Whitehead Data Assimilation in Large Prandtl Rayleigh--Bénard Convection from Thermal Measurements . . . . . . . . . . . . . . 510--540 Eyal Bar-Shalom and Alexander Ovseevich and Michael Margaliot Ribosome Flow Model with Different Site Sizes . . . . . . . . . . . . . . . . . 541--576 Maxime Breden and Christian Kuehn Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos . . . . . . . . . . . . . . . . . 577--618 Corentin Briat A Biology-Inspired Approach to the Positive Integral Control of Positive Systems: The Antithetic, Exponential, and Logistic Integral Controllers . . . 619--664 Bogdan Batko and Konstantin Mischaikow and Marian Mrozek and Mateusz Przybylski Conley Index Approach to Sampled Dynamics . . . . . . . . . . . . . . . . 665--704 Raphael Gerlach and Adrian Ziessler and Bruno Eckhardt and Michael Dellnitz A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors . . . . . . . . . . . . . . . 705--723
Antonín Slavík Lotka--Volterra Competition Model on Graphs . . . . . . . . . . . . . . . . . 725--762 Mayur V. Lakshmi and Giovanni Fantuzzi and Jesús D. Fernández-Caballero and Yongyun Hwang and Sergei I. Chernyshenko Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow . . . . . . . . . . . . . . . 763--787 Cristobal Quiñinao and Jonathan D. Touboul Clamping and Synchronization in the Strongly Coupled FitzHugh--Nagumo Model 788--827 Matthieu Gilson and Jean-Pascal Pfister Propagation of Spiking Moments in Linear Hawkes Networks . . . . . . . . . . . . 828--859 Felix Dietrich and Thomas N. Thiem and Ioannis G. Kevrekidis On the Koopman Operator of Algorithms 860--885 Mason Kamb and Eurika Kaiser and Steven L. Brunton and J. Nathan Kutz Time-Delay Observables for Koopman: Theory and Applications . . . . . . . . 886--917 Sarbendu Rakshit and Bidesh K. Bera and Erik M. Bollt and Dibakar Ghosh Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach . . . . . . . . . . . . . . . . 918--963 John M. Neuberger and Nándor Sieben and James W. Swift Invariant Synchrony Subspaces of Sets of Matrices . . . . . . . . . . . . . . . . 964--993 Ian Lizarraga and Martin Wechselberger Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems 994--1028 Peter Giesl and Conor Osborne and Sigurdur Hafstein Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions 1029--1056 Lucia Valentina Gambuzza and Mattia Frasca and Ernesto Estrada Hubs-attracting Laplacian and Related Synchronization on Networks . . . . . . 1057--1079 Dohyun Kim State-Dependent Dynamics of the Lohe Matrix Ensemble on the Unitary Group under the Gradient Flow . . . . . . . . 1080--1123 Xiaoxue Zhao and Zhuchun Li and Xiaoping Xue Stability in a Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve 1124--1159 Arvind Prasadan and Raj Rao Nadakuditi Time Series Source Separation Using Dynamic Mode Decomposition . . . . . . . 1160--1199 Claire Kiers Rate-Induced Tipping in Discrete-Time Dynamical Systems . . . . . . . . . . . 1200--1224 Seung-Yeal Ha and Dohyun Kim and Jaeseung Lee and Se Eun Noh Emergence of Bicluster Aggregation for the Swarm Sphere Model with Attractive--Repulsive Couplings . . . . 1225--1270 Xiuli Cen and Xuhua Cheng and Zaitang Huang and Meirong Zhang On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem 1271--1290 Matthieu Alfaro and Arnaud Ducrot and Grégory Faye Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction--Diffusion Equations . . . . . 1291--1311 Seung-Yeal Ha and Hansol Park From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics . . . . . . . . . . . . . . . . 1312--1342 Douglas D. Novaes and Tere M. Seara and Marco A. Teixeira and Iris O. Zeli Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle 1343--1371 Alessandro Alla and Caterina Balzotti and Maya Briani and Emiliano Cristiani Understanding Mass Transfer Directions via Data-Driven Models with Application to Mobile Phone Data . . . . . . . . . . 1372--1391 Dana Contreras-Julio and Pablo Aguirre and José Mujica and Olga Vasilieva Finding Strategies to Regulate Propagation and Containment of Dengue via Invariant Manifold Analysis . . . . 1392--1437 Tailei Zhang and Xiao-Qiang Zhao Mathematical Modeling for Schistosomiasis with Seasonal Influence: a Case Study in Hubei, China . . . . . . 1438--1471 Nathan L. Sanford and Graham M. Donovan and William L. Kath Slip Rates and Slip Modes in an Actively Mode-Locked Laser . . . . . . . . . . . 1472--1495 Dante Kalise and Sudeep Kundu and Karl Kunisch Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton--Jacobi--Isaacs Equations . . . 1496--1524 Francisco Crespo and Sebastián Ferrer Alternative Reduction by Stages of Keplerian Systems. Positive, Negative, and Zero Energy . . . . . . . . . . . . 1525--1539 Jan Rombouts and Kiattisak Prathom and Todd R. Young Clusters Tend to Be of Equal Size in a Negative Feedback Population Model of Cell Cycle Dynamics . . . . . . . . . . 1540--1573
Corentin Briat and Mustafa Khammash Ergodicity Analysis and Antithetic Integral Control of a Class of Stochastic Reaction Networks with Delays 1575--1608 Li Zhang and Sanjeeva Balasuriya Controlling Trajectories Globally via Spatiotemporal Finite-Time Optimal Control . . . . . . . . . . . . . . . . 1609--1632 Alfredo Garbuno-Inigo and Nikolas Nüsken and Sebastian Reich Affine Invariant Interacting Langevin Dynamics for Bayesian Inference . . . . 1633--1658 Gary Froyland and Péter Koltai and Martin Stahn Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration . . 1659--1700 Joshua Kimrey and Theodore Vo and Richard Bertram Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes 1701--1735 Naghmeh Akhavan and James A. Yorke Population Collapse in Elite-Dominated Societies: a Differential Equations Model without Differential Equations . . 1736--1757 Blake Barker and Jason Mireles James and Jalen Morgan Parameterization Method for Unstable Manifolds of Standing Waves on the Line 1758--1797 Gheorghe Craciun and Abhishek Deshpande Endotactic Networks and Toric Differential Inclusions . . . . . . . . 1798--1822 Giovanni Fantuzzi and David Goluskin Bounding Extreme Events in Nonlinear Dynamics Using Convex Optimization . . . 1823--1864 Dmitry Gromov and Fernando Castaños Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine: a Bifurcation-Theory Approach . . . . . . 1865--1883 Bhargav Karamched and Simon Stolarczyk and Zachary P. Kilpatrick and Kresimir Josi\'c Bayesian Evidence Accumulation on Social Networks . . . . . . . . . . . . . . . . 1884--1919 Seth M. Hirsh and Kameron Decker Harris and J. Nathan Kutz and Bingni W. Brunton Centering Data Improves the Dynamic Mode Decomposition . . . . . . . . . . . . . 1920--1955 Andrea Iannelli and Mark Lowenberg and Andrés Marcos Computation of Bifurcation Margins Based on Robust Control Concepts . . . . . . . 1956--1992 Liwei Zhang and Weishi Liu Effects of Large Permanent Charges on Ionic Flows via Poisson--Nernst--Planck Models . . . . . . . . . . . . . . . . . 1993--2029 Tony Wong and Michael J. Ward Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction--Diffusion Systems . . . . . . 2030--2058 Kristian U. Kristiansen On the Pitchfork Bifurcation of the Folded Node and Other Unbounded Time-Reversible Connection Problems in $ \mathbb R^3 $ . . . . . . . . . . . . . 2059--2102 Jinwook Jung and Shi Jin Emergence of the Consensus and Separation in an Agent-Based Model With Attractive and Singular Repulsive Forces 2103--2134 Guangyuan Liao and Casey Diekman and Amitabha Bose Entrainment Dynamics of Forced Hierarchical Circadian Systems Revealed by $2$-Dimensional Maps . . . . . . . . 2135--2161 Sebastian Peitz and Samuel E. Otto and Clarence W. Rowley Data-Driven Model Predictive Control using Interpolated Koopman Generators 2162--2193 Alan Dyson Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates . . . 2194--2231
Mauricio Misquero and Rafael Ortega Some Rigorous Results on the $ 1 \colon 1 $ Resonance of the Spin--Orbit Problem 2233--2267 Leo T. Butler Horseshoes for Singly Thermostated Hamiltonians . . . . . . . . . . . . . . 2268--2285 Xiaodan Xu and Wen Si and Jianguo Si Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency 2286--2321 Timothy Ferguson Volume Bounds for the Phase-Locking Region in the Kuramoto Model with Asymmetric Coupling . . . . . . . . . . 2322--2342 Jianfeng Huang and Joan Torregrosa and Jordi Villadelprat On the Number of Limit Cycles in Generalized Abel Equations . . . . . . . 2343--2370 Paul E. O'Keeffe and Sebastian Wieczorek Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations . . . . . . . . . . . . . . 2371--2402 Theodore Kolokolnikov and Chris Ticknor and Panayotis Kevrekidis Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics 2403--2427 Eddie Nijholt and Bob W. Rink and Sören Schwenker Quiver Representations and Dimension Reduction in Dynamical Systems . . . . . 2428--2468 C. H. S. Hamster and H. J. Hupkes Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction--Diffusion Equations 2469--2499 J. C. Tzou and L. Tzou Analysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved Terrain . . . . . 2500--2529 Maximilian Engel and Hildeberto Jardón-Kojakhmetov Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps . . 2530--2566 Pavel Gurevich and Hannes Stuke Dynamical Systems Approach to Outlier Robust Deep Neural Networks for Regression . . . . . . . . . . . . . . . 2567--2593 Zhou Fang and Arjan van der Schaft and Chuanhou Gao A Graphic Formulation of Nonisothermal Chemical Reaction Systems and the Analysis of Detailed Balanced Networks 2594--2627 Daniel Balagué Guardia and Alethea Barbaro and Jose A. Carrillo and Robert Volkin Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation . . . . . . . . . . . . . . . . 2628--2657 Mikel Antoñana and Philippe Chartier and Joseba Makazaga and Ander Murua Global Time-Renormalization of the Gravitational $N$-body Problem . . . . . 2658--2681 Denis D. Patterson and Simon A. Levin and Carla Staver and Jonathan D. Touboul Probabilistic Foundations of Spatial Mean-Field Models in Ecology and Applications . . . . . . . . . . . . . . 2682--2719 Mateusz Juda Unsupervised Features Learning for Sampled Vector Fields . . . . . . . . . 2720--2736 Georg Propst Pumping in Models of Flow in a Loop of Rigid Pipes . . . . . . . . . . . . . . 2737--2748 Carlos García-Azpeitia and Jean-Philippe Lessard Free Vibrations in a Wave Equation Modeling MEMS . . . . . . . . . . . . . 2749--2782 Chunyi Gai and David Iron and Theodore Kolokolnikov and John Rumsey Spike Dynamics in the Presence of Noise 2783--2802 Jeremy P. Parker and Jacob Page Koopman Analysis of Isolated Fronts and Solitons . . . . . . . . . . . . . . . . 2803--2828 Jennifer Creaser and Peter Ashwin and Krasimira Tsaneva-Atanasova Sequential Escapes and Synchrony Breaking for Networks of Bistable Oscillatory Nodes . . . . . . . . . . . 2829--2846 Miriam Steinherr Zazo and Jens D. M. Rademacher Lyapunov Coefficients for Hopf Bifurcations in Systems with Piecewise Smooth Nonlinearity . . . . . . . . . . 2847--2886
Angélica Torres and Elisenda Feliu Symbolic Proof of Bistability in Reaction Networks . . . . . . . . . . . 1--37 Daozhi Han and Marco Hernandez and Quan Wang Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow . . . . . . . . . . . . . . . 38--64 Lars Gruene and Thomas Kriecherbauer and Michael Margaliot Random Attraction in the TASEP Model . . 65--93 Carlos García-Azpeitia and Wieslaw Krawcewicz and Manuel Tejada-Wriedt and Haopin Wu Global Nonlinear Normal Modes in the Fullerene Molecule $ C_{60} $ . . . . . 94--129 Jan Haskovec A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay . . . . . . . . . . . . . . . 130--148 Qihuai Liu and Pedro J. Torres Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations . . . . . . . . . . . . . 149--164 François Baccelli and Thibaud Taillefumier The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks . . . . 165--207 J. Sánchez Umbría and M. Net Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres . . . . . . . . . . . . . . . . 208--231 Nithin Govindarajan and Ryan Mohr and Shivkumar Chandrasekaran and Igor Mezic On the Approximation of Koopman Spectra of Measure-Preserving Flows . . . . . . 232--261 Adam Bauer and Paul Carter Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction . . . . . . . . . . . . 262--298 Jason A. Otkin and Roland W. E. Potthast and Amos S. Lawless Nonlinear Conditional Model Bias Estimation for Data Assimilation . . . . 299--332 B. A. J. de Wolff and F. Scarabel and S. M. Verduyn Lunel and O. Diekmann Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations . . . . . . . . . . . . . . . 333--370 Takashi Teramoto and Peter van Heijster Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model 371--402 B. W. Qin and K. W. Chung and A. Algaba and A. J. Rodríguez-Luis High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities . . . . . . . . . . . . . 403--437 Sarafa A. Iyaniwura and Michael J. Ward Synchrony and Oscillatory Dynamics for a $2$-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments . . . . . . 438--499 Iacopo P. Longo and Carmen Núñez and Rafael Obaya and Martin Rasmussen Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics . . . . . . . . . . . . . . . . 500--540 Alexandre A. P. Rodrigues Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network . . . . . . . . . . . . . . . . 541--570 Matthieu Alfaro and Arnaud Ducrot and Grégory Faye Erratum: Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations . . . . . . 571--572
Jan Bouwe van den Berg and Jean-Philippe Lessard and Elena Queirolo Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation . . . . . . . . . . . . . . 573--607 Xiaoxian Tang and Hao Xu Multistability of Small Reaction Networks . . . . . . . . . . . . . . . . 608--635 Hiroko Kamei and Haibo Ruan Reduced Lattices of Synchrony Subspaces and Their Indices . . . . . . . . . . . 636--670 David J. Lloyd Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation . . . . . . . 671--700 Yangyang Wang and Jeffrey P. Gill and Hillel J. Chiel and Peter J. Thomas Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation 701--744 Kevin E. M. Church Analysis of Pandemic Closing-Reopening Cycles Using Rigorous Homotopy Continuation: a Case Study with Montreal COVID-19 Data . . . . . . . . . . . . . 745--783 Matthew D. Kvalheim and Paul Gustafson and Daniel E. Koditschek Conley's Fundamental Theorem for a Class of Hybrid Systems . . . . . . . . . . . 784--825 Derek Orr and G. Bard Ermentrout Noise-Driven Oscillations in Coupled Excitable Systems . . . . . . . . . . . 826--852 Piotr Kalita and Piotr Zgliczy\'nski Rigorous FEM for One-Dimensional Burgers Equation . . . . . . . . . . . . . . . . 853--907 Elvise Berchio and Alessio Falocchi and Maurizio Garrione On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam . . 908--940 Xiuli Cen and Changjian Liu and Meirong Zhang A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem . . . . . . . 941--952 Jonathan E. Rubin and Justyna Signerska-Rynkowska and Jonathan D. Touboul Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models . . . 953--980 Boris Kramer Stability Domains for Quadratic-Bilinear Reduced-Order Models . . . . . . . . . . 981--996 H. Gao and M. J. Garrido Atienza and A. Gu and K. Lu and B. Schmalfuß Rough Path Theory to Approximate Random Dynamical Systems . . . . . . . . . . . 997--1021 Carter L. Johnson and Timothy J. Lewis and Robert Guy Neuromechanical Mechanisms of Gait Adaptation in \bionameC. elegans: Relative Roles of Neural and Mechanical Coupling . . . . . . . . . . . . . . . . 1022--1052 Takashi Sakajo and Penghao Wang Spot Dynamics of a Reaction--Diffusion System on the Surface of a Torus . . . . 1053--1089 Michael A. S. Thorne and Eric Forgoston and Lora Billings and Anje-Margriet Neutel Matrix Scaling and Tipping Points . . . 1090--1103 Seung-Yeal Ha and Myeongju Kang and Bora Moon Uniform-in-Time Continuum Limit of the Winfree Model on an Infinite Cylinder and Emergent Dynamics . . . . . . . . . 1104--1134 Sara M. Grundel and Stefan Heyder and Thomas Hotz and Tobias K. S. Ritschel and Philipp Sauerteig and Karl Worthmann How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks . . . . . . . . . . . . . . . 1135--1157 Wilten Nicola and Sue Ann Campbell Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue . . . . . . . 1158--1176
Andrea Bel and Romina Cobiaga and Walter Reartes and Horacio G. Rotstein Periodic Solutions in Threshold-Linear Networks and Their Entrainment . . . . . 1177--1208 Alejandra Rada and Cristian Coletti and Elcio Lebensztayn and Pablo M. Rodriguez The Role of Multiple Repetitions on the Size of a Rumor . . . . . . . . . . . . 1209--1231 De Tang and Yuming Chen Global Dynamics of a Lotka--Volterra Competition--Diffusion System in Advective Heterogeneous Environments . . 1232--1252 James N. MacLaurin and Pedro A. Vilanova Synchronization in Stochastic Biochemical Oscillators Subject to Common Multiplicative Extrinsic Noise 1253--1276 Bernold Fiedler and Sindre W. Haugland and Felix P. Kemeth and Katharina Krischer Global Heteroclinic Rebel Dynamics Among Large $2$-Clusters in Permutation Equivariant Systems . . . . . . . . . . 1277--1319 Hirotada Honda Reservoir Computing with an Inertial Form . . . . . . . . . . . . . . . . . . 1320--1347 Peter L. Varkonyi and Mate Antali On Differential Equations with Codimension-$n$ Discontinuity Sets . . . 1348--1381 Manuela Aguiar and Ana Dias Synchrony and Antisynchrony in Weighted Networks . . . . . . . . . . . . . . . . 1382--1420 Daniela Cárcamo-Díaz and Jesús F. Palacián and Claudio Vidal and Patricia Yanguas Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit . . . . . . . . . . . . . 1421--1463 Youngmin Park and Dan D. Wilson High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators . . . . . . . . . . . . . . 1464--1484 Pedro M. Sequeira and António P. Aguiar and João Hespanha Commutative Monoid Formalism for Weighted Coupled Cell Networks and Invariant Synchrony Patterns . . . . . . 1485--1513 Joan Gimeno and Jiaqi Yang and Rafael de la Llave Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane . . 1514--1543 Marc Homs-Dones and Karel Devriendt and Renaud Lambiotte Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs . . . . . . . . . . . . 1544--1570 Ryan Creedon and Bernard Deconinck and Olga Trichtchenko High-Frequency Instabilities of the Kawahara Equation: a Perturbative Approach . . . . . . . . . . . . . . . . 1571--1595 Sunil Modhara and Yi Ming Lai and Rüdiger Thul and Stephen Coombes Neural Fields with Rebound Currents: Novel Routes to Patterning . . . . . . . 1596--1620 Radhouane Fekih-Salem and Yessmine Daoud and Nahla Abdellatif and Tewfik Sari A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates . . . . . . . . . . . . . 1621--1654 Timothy Chumley and Renato Feres and Luis Alberto Garcia German Knudsen Diffusivity in Random Billiards: Spectrum, Geometry, and Computation . . 1655--1682
Rachel Nicks and Abigail Cocks and Daniele Avitabile and Alan Johnston and Stephen Coombes Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations . . . . . . . . . . 1683--1714 Brett Geiger and Kathryn Hedrick Integration of Additive Self-Motion Inputs in a General Bump Attractor Model 1715--1751 Rico Berner and Volker Mehrmann and Eckehard Schöll and Serhiy Yanchuk The Multiplex Decomposition: an Analytic Framework for Multilayer Dynamical Networks . . . . . . . . . . . . . . . . 1752--1772 John Leventides and Costas Poulios Koopman Operators and the $ 3 x + 1 $-Dynamical System . . . . . . . . . . . 1773--1813 Dan Wilson Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: an Adaptive Phase-Amplitude-Coordinate-Based Approach . . . . . . . . . . . . . . . . 1814--1843 Valeria Giunta and Maria Carmela Lombardo and Marco Sammartino Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation . . . . . . . . . . . . . . 1844--1881 Nancy Rodríguez and Qi Wang and Lu Zhang Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities . . . . . . . . . . . . . . . 1882--1916 Yuri Bakhtin and Tobias Hurth and Sean D. Lawley and Jonathan C. Mattingly Singularities of Invariant Densities for Random Switching between Two Linear ODEs in 2D . . . . . . . . . . . . . . . . . 1917--1958 Jia-Yuan Dai and Phillipo Lappicy Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors . . . . . . . . 1959--1984 Ludovic Righetti and Jonas Buchli and Auke Jan Ijspeert Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators . . . . . 1985--2012 Yoshihiko Susuki and Alexandre Mauroy and Igor Mezi\'c Koopman Resolvent: a Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems . . . . . . . . . . . 2013--2036 Stephan Peter and Bashar Ibrahim and Peter Dittrich Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems 2037--2076 Dmitry Rabinovich and Alfred M. Bruckstein Erratic Extremism Causes Dynamic Consensus: a New Model for Opinion Dynamics . . . . . . . . . . . . . . . . 2077--2107 William Duncan and Tomas Gedeon and Hiroshi Kokubu and Konstantin Mischaikow and Hiroe Oka Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities . . . . . . . . . . . . . 2108--2141 Christoph Kawan and Sigurdur Hafstein and Peter Giesl A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem . . . . . . . . . . . 2142--2173 Animikh Biswas and Zachary Bradshaw and Michael S. Jolly Data Assimilation for the Navier--Stokes Equations Using Local Observables . . . 2174--2203 Jens D. M. Rademacher and Lars Siemer Domain Wall Motion in Axially Symmetric Spintronic Nanowires . . . . . . . . . . 2204--2235 Erin George and Colleen E. Chan and Gal Dimand and Ryan M. Chakmak and Claudia Falcon and Daniel Eckhardt and Robert Martin Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation . . . . . . . . . . . . . 2236--2260 David M. Ambrose and Fazel Hadadifard and J. Douglas Wright Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts 2261--2294 Christian Kuehn and Kerstin Lux Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations . . . . . . . . . 2295--2334 Kameron Decker Harris and Aleksandr Aravkin and Rajesh Rao and Bingni Wen Brunton Time-Varying Autoregression with Low-Rank Tensors . . . . . . . . . . . . 2335--2358 Kristian U. Kristiansen A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup . . . . . . . . . 2359--2390 Charles Poussot-Vassal and Pierre Vuillemin and Olivier Cantinaud and Florian S\`eve Interpolatory Methods for Generic BizJet Gust Load Alleviation Function . . . . . 2391--2411 Guo Deng and Christopher J. Lustri and Mason A. Porter Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains . . 2412--2449 Justin Eilertsen and Ma\lgorzata Anna Tyczynska and Santiago Schnell Hunting $ \varepsilon $: The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics . . . . . 2450--2481 Alice Nadeau and James Walsh and Esther Widaish Synchronous Glacial Cycles in a Nonsmooth Conceptual Climate Model with Asymmetric Hemispheres . . . . . . . . . 2482--2515 Alice C. Schwarze and Mason A. Porter Motifs for Processes on Networks . . . . 2516--2557 Yen Ting Lin and Yifeng Tian and Daniel Livescu and Marian Anghel Data-Driven Learning for the Mori--Zwanzig Formalism: a Generalization of the Koopman Learning Framework . . . . . . . . . . . . . . . 2558--2601 Victor J. Barranca and Yolanda Hu and Zoe Porterfield and Samuel Rothstein and Alex Xuan Data-Driven Reconstruction and Encoding of Sparse Stimuli across Convergent Sensory Layers from Downstream Neuronal Network Dynamics . . . . . . . . . . . . 2602--2629 Noah Cheesman and Kristian Uldall Kristiansen and S. J. Hogan Regularization of Isolated Codimension-2 Discontinuity Sets . . . . . . . . . . . 2630--2670
Abigail Hickok and Yacoub Kureh and Heather Z. Brooks and Michelle Feng and Mason A. Porter A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs . . . . . . . . 1--32 Ryeongkyung Yoon and Harish S. Bhat and Braxton Osting A Nonautonomous Equation Discovery Method for Time Signal Classification 33--59 Travis Askham and Peng Zheng and Aleksandr Aravkin and J. Nathan Kutz Robust and Scalable Methods for the Dynamic Mode Decomposition . . . . . . . 60--79 Dai-Ni Hsieh and Sylvain Arguill\`ere and Nicolas Charon and Laurent Younes Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems . . . . . . . . . . . . 80--101 Zhuchun Li and Xiaoxue Zhao and Xiaoping Xue Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability . . . . . . . . . . . . . . . 102--136 Agustín G. Yabo and Jean-Baptiste Caillau and Jean-Luc Gouzé and Hidde de Jong and Francis Mairet Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth . . . . . . . . . . . . 137--165 Euiwoo Lee Stable Synchronized Periodic Solutions in a Pair of Mutually Inhibitory Model Neurons with Conduction Delays . . . . . 166--203 Dan Wilson An Adaptive Phase-Amplitude Reduction Framework without $ {\cal O}(\epsilon) $ Constraints on Inputs . . . . . . . . . 204--230 André H. Erhardt and Susanne Solem Bifurcation Analysis of a Modified Cardiac Cell Model . . . . . . . . . . . 231--247 Marios Antonios Gkogkas and Christian Kuehn Graphop Mean-Field Limits for Kuramoto-Type Models . . . . . . . . . . 248--283 G. A. Pavliotis and A. M. Stuart and U. Vaes Derivative-Free Bayesian Inversion Using Multiscale Dynamics . . . . . . . . . . 284--326 Michael W. Fisher and Ian A. Hiskens Hausdorff Continuity of Region of Attraction Boundary Under Parameter Variation with Application to Disturbance Recovery . . . . . . . . . . 327--365 Margaret Beck and Jonathan Jaquette Validated Spectral Stability via Conjugate Points . . . . . . . . . . . . 366--404 Amin Gholami and Xu A. Sun The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability . . . . . . . . . . 405--437 Xiao Yan and Hua Nie and Peng Zhou On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study . . . . . . 438--469 Cristina Lois-Prados and Frank M. Hilker Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies . . . . . . . . . 470--499 Horacio G. Rotstein Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model 500--522 J. Dubois and M. Jorba-Cuscó and \`A. Jorba and C. Chandre Dynamical Organization of Recollisions by a Family of Invariant Tori . . . . . 523--541 M. Ghani Varzaneh and S. Riedel and M. Scheutzow A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces . . . . . . . . . . . . . . . . . 542--587 Beatriz Pascual-Escudero and Linard Hoessly An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks . . . . . . . . . . . 588--615 Hiroshi Matano and Yoichiro Mori and Mitsunori Nara and Koya Sakakibara Asymptotic Behavior of Fronts and Pulses of the Bidomain Model . . . . . . . . . 616--649 Amanda E. Hampton and James D. Meiss Anti-integrability for Three-Dimensional Quadratic Maps . . . . . . . . . . . . . 650--675 Faouzi Lakrad and Jamol Pender and Richard Rand Queues with Delayed Information: A Dynamical Systems Perspective . . . . . 676--713 Kyung Ha and Brendan Harding and Andrea L. Bertozzi and Yvonne M. Stokes Dynamics of Small Particle Inertial Migration in Curved Square Ducts . . . . 714--734
Nisha Chandramoorthy and Qiqi Wang Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds . . . 735--781 Elisenda Feliu and Christian Lax and Sebastian Walcher and Carsten Wiuf Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species . . 782--816 Tamal K. Dey and Marian Mrozek and Ryan Slechta Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems . . . . 817--839 Lauri Ylinen and Tuomo von Lerber and Franko Küppers and Matti Lassas Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks . . . . . . . . . . . . 840--878 Bart M. de Leeuw and Svetlana Dubinkina Shadowing-Based Data Assimilation Method for Partially Observed Models . . . . . 879--902 Pavol Bokes Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits . . . . . . . . . . . . . . . . 903--931 Shijie Zhou and Ying-Cheng Lai and Wei Lin Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems . . . . . . . . . . 932--959 Katherine J. Meyer and Richard P. McGehee Intensity --- a Metric Approach to Quantifying Attractor Robustness in ODEs 960--981 Samuel Jelbart and Nathan Pages and Vivien Kirk and James Sneyd and Martin Wechselberger Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics 982--1029 Naoya Takeishi and Keisuke Fujii and Koh Takeuchi and Yoshinobu Kawahara Discriminant Dynamic Mode Decomposition for Labeled Spatiotemporal Data Collections . . . . . . . . . . . . . . 1030--1058 Joshua Kimrey and Theodore Vo and Richard Bertram Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes . . . . . . . . . . . . 1059--1091 Polly Y. Yu and Gheorghe Craciun and Maya Mincheva and Casian Pantea A Graph-Theoretic Condition for Delay Stability of Reaction Systems . . . . . 1092--1118 Gerard Iooss and Alastair M. Rucklidge Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices 1119--1165 Seung-Yeal Ha and Dohyun Kim and Hansol Park Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model . . . . . . . . . . . 1166--1208 Spencer A. Smith and Sierra Dunn Topological Entropy of Surface Braids and Maximally Efficient Mixing . . . . . 1209--1244 Wolf-Jürgen Beyn and Gary Froyland and Thorsten Hüls Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I --- Fundamentals . . . . . . . . . . . . 1245--1286 Peter D. Harrington and Mark A. Lewis and P. van den Driessche Reactivity, Attenuation, and Transients in Metapopulations . . . . . . . . . . . 1287--1321 Nicholas Ercolani and Joceline Lega and Brandon Tippings Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation . . . . . . 1322--1351 Guy A. Djokam and Muruhan Rathinam A Generalized Model of Flocking with Steering . . . . . . . . . . . . . . . . 1352--1381 Razvan C. Fetecau and Seung-Yeal Ha and Hansol Park Emergent Behaviors of Rotation Matrix Flocks . . . . . . . . . . . . . . . . . 1382--1425 Xiaoxian Tang and Zhishuo Zhang Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces 1426--1454 Pierre Degond and Antoine Diez and Mingye Na Bulk Topological States in a New Collective Dynamics Model . . . . . . . 1455--1494 Alexandre Bayen and Jan Friedrich and Alexander Keimer and Lukas Pflug and Tanya Veeravalli Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws . . . 1495--1538 Oliver R. A. Dunbar and Andrew B. Duncan and Andrew M. Stuart and Marie-Therese Wolfram Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods . . 1539--1572 Changbo Chen and Wenyuan Wu A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure 1573--1596 Caitlyn Parmelee and Juliana Londono Alvarez and Carina Curto and Katherine Morrison Sequential Attractors in Combinatorial Threshold-Linear Networks . . . . . . . 1597--1630 Stephanie Dodson and Timothy J. Lewis Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves . . . . . . 1631--1659 Abigail Hickok and Yacoub Kureh and Heather Zinn Brooks and Michelle Feng and Mason A. Porter Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs . . . . 1660--1661
Xiaoqing He and Liu Liu On the Conjecture of the Role of Advection in a Two-Species Competition--Diffusion Model . . . . . . 1663--1685 Valeria Giunta and Thomas Hillen and Mark Lewis and Jonathan R. Potts Local and Global Existence for Nonlocal Multispecies Advection--Diffusion Models 1686--1708 Matthias Wolfrum and Serhiy Yanchuk and Otti D'Huys Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay 1709--1725 Sevdzhan Hakkaev and Milena Stanislavova and Atanas Stefanov On the Stability of the Periodic Waves for the Benney System . . . . . . . . . 1726--1747 Shenglan Yuan and Dirk Bloemker Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $ \alpha $-stable Lévy Processes . . . . . . . . . . . . . 1748--1777 Francisco Crespo and Edward A. Turner Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem . . . . . . . . . . . . 1778--1797 Noah Cheesman and S. J. Hogan and Kristian Uldall Kristiansen The Geometry of the Painlevé Paradox . . 1798--1831 Joan Gimeno and \`Angel Jorba and Begoña Nicolás and Estrella Olmedo Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori . . . . . . . . . 1832--1861 Saleh Albeaik and Alexandre Bayen and Maria Teresa Chiri and Xiaoqian Gong and Amaury Hayat and Nicolas Kardous and Alexander Keimer and Sean T. McQuade and Benedetto Piccoli and Yiling You Limitations and Improvements of the Intelligent Driver Model (IDM) . . . . . 1862--1892 Christina Athanasouli and Sofia H. Piltz and Cecilia G. Diniz Behn and Victoria Booth Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model . . . . . . . 1893--1929 Mathias Wanner and Igor Mezi\'c Robust Approximation of the Stochastic Koopman Operator . . . . . . . . . . . . 1930--1951 Choongseok Park and Jonathan E. Rubin Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling . . . . . . . . . . 1952--1999 Michal Pnueli and Vered Rom-Kedar Near Tangent Dynamics in a Class of Hamiltonian Impact Systems . . . . . . . 2000--2046 Yujie Ding and Bard Ermentrout Rotating Waves of Nonlocally Coupled Oscillators on the Annulus . . . . . . . 2047--2079 Yiyang Deng and Marshall Hampton and Zhiqiang Wang Symmetry and Asymmetry in the $ 1 + N $ Coorbital Problem . . . . . . . . . . . 2080--2095 Bree Cummins and Marcio Gameiro and Tomas Gedeon and Shane Kepley and Konstantin Mischaikow and Lun Zhang Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation . . . . . . 2096--2125 Stefano Massaroli and Michael Poli and Federico Califano and Jinkyoo Park and Atsushi Yamashita and Hajime Asama Optimal Energy Shaping via Neural Approximators . . . . . . . . . . . . . 2126--2147 Arantxa Alonso and Isabel Mercader and Oriol Batiste and José M. Vega Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition . . . . . . . 2148--2186 Corbinian Schlosser and Milan Korda Sparsity Structures for Koopman and Perron--Frobenius Operators . . . . . . 2187--2214 Weixin Wang and Taeyoung Lee Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups . . . . . . . . . . . . . . . . . 2215--2240 S. P. Hastings and M. M. Sussman On the Initiation of Spiral Waves in Excitable Media . . . . . . . . . . . . 2241--2267 Yasumasa Nishiura and Shuangquan Xie Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction--Diffusion System . . . . . . . 2268--2296
Bryce M. Barclay and Eric J. Kostelich and Alex Mahalov Sensor Placement Sensitivity and Robust Reconstruction of Wave Dynamics from Multiple Sensors . . . . . . . . . . . . 2297--2313 Laura Gardini and Davide Radi and Noemi Schmitt and Iryna Sushko and Frank Westerhoff Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a $2$D Piecewise Linear Map . . . . . . . . . . . . . . . . . . 2314--2337 Grigorios A. Pavliotis and Andrea Zanoni Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit . . . . . . . . . . . . 2338--2370 Rahil N. Valani and Brendan Harding and Yvonne M. Stokes Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts . . . . . . . . . . . 2371--2392 Sofia B. S. D. Castro and Ana Ferreira and Liliana Garrido-da-Silva and Isabel S. Labouriau Stability of Cycles in a Game of Rock--Scissors--Paper--Lizard--Spock . . 2393--2431 Benjamin Letson and Jonathan E. Rubin On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers . . 2432--2462 Andrew J. Gibson and Michael L. Calvisi and Xin C. Yee Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems . . . . . . . . . . . 2463--2486 Mostafa Adimy and Louis Babin and Laurent Pujo-Menjouet Neuron Scale Modeling of Prion Production with the Unfolded Protein Response . . . . . . . . . . . . . . . . 2487--2517 Uyen Le and Dmitry E. Pelinovsky Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem . . . . . . . . . . 2518--2534 Ross Parker and Andrea K. Barreiro Bifurcations of a Neural Network Model with Symmetry . . . . . . . . . . . . . 2535--2578 Heather L. Cihak and Tahra L. Eissa and Zachary P. Kilpatrick Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field 2579--2609 Mauricio Louzeiro and Christoph Kawan and Sigurdur Hafstein and Peter Giesl and Jinyun Yuan A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems . . . . . . . . . . . 2610--2641 K. G. D. Sulalitha Priyankara and Sanjeeva Balasuriya and Erik M. Bollt Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows . . 2642--2696
Ilias Panagiotopoulos and Jens Starke and Jan Sieber and Wolfram Just Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario . . . . . 1--36 Taleb Bou Hamdan and Guillaume Merc\`ere and Thibault Dairay and Raphael Meunier and Pascal Tremblay and Patrick Coirault Tracking Distributed Parameters System Dynamics with Recursive Dynamic Mode Decomposition with Control . . . . . . . 37--64 Audun Myers and Firas A. Khasawneh and Elizabeth Munch Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection . . . . . . . . . . . . . . . 65--89 Alexander G. Ginsberg and Victoria Booth A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus . . . . . . . . 90--128 Thomas I. Stiadle and Alvin Bayliss and Vladimir A. Volpert Order and Disorder in a Cyclically Competitive Ecological Community . . . . 129--161 Wolf-Jürgen Beyn and Thorsten Hüls Angular Values of Nonautonomous Linear Dynamical Systems: Part II --- Reduction Theory and Algorithm . . . . . . . . . . 162--198 Rong-Nian Wang and Jia-Cheng Zhao and Alain Miranville Hyperdissipative Navier--Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds . . . . . . 199--234 Minwoo Lee and Jongho Park An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise . . 235--268 Yunan Yang and Levon Nurbekyan and Elisa Negrini and Robert Martin and Mirjeta Pasha Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures . . . . . . . . . . . 269--310 Zachary P. Adams The Asymptotic Frequency of Stochastic Oscillators . . . . . . . . . . . . . . 311--338 Claudia Lopez-Zazueta and Vincent Fromion Qualitative Behavior of a Metabolic Pathway with Hybrid Feedback . . . . . . 339--381 Xiaolong He and Rafael de la Llave Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps . . 382--418 Micha\l Branicki and Kenneth Uda Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows . . . . . . . . . . . . . . . . . 419--482 Adrián P. Bustamante and Cristel Chandre Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems . . . . . . 483--500
Badal Joshi and Gheorghe Craciun Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness . . . . . . . . . . . . . . . 501--526 Dimitrios Giannakis and Amelia Henriksen and Joel A. Tropp and Rachel Ward Learning to Forecast Dynamical Systems from Streaming Data . . . . . . . . . . 527--558 Wei Gou and Yongli Song and Zhen Jin The Steady State Bifurcation for General Network-Organized Reaction--Diffusion Systems and Its Application in a Metapopulation Epidemic Model . . . . . 559--602 Dan Wilson A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets 603--634 Yangshanshan Liu and Shiqing Zhang Stacked Central Configurations with a Homogeneous Potential in $ \mathbb {R}^3 $ . . . . . . . . . . . . . . . . . . . 635--656 Punit Gandhi and Lily Liu and Mary Silber A Pulsed-Precipitation Model of Dryland Vegetation Pattern Formation . . . . . . 657--693 Min Lu and Jicai Huang and Hao Wang An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change . . . . . 694--729 Stefan Steinerberger Max-Cut via Kuramoto-Type Oscillators 730--743 Oscar Perdomo and Andrés Rivera and John A. Arredondo and Nelson Castañeda Periodic Oscillations in a $ 2 N $-Body Problem . . . . . . . . . . . . . . . . 744--764 Maxime Breden A Posteriori Validation of Generalized Polynomial Chaos Expansions . . . . . . 765--801 Tung T. Nguyen and Roberto C. Budzinski and Jacqueline \Etho\`an and Federico W. Pasini and Ján Minác and Lyle E. Muller Equilibria in Kuramoto Oscillator Networks: an Algebraic Approach . . . . 802--824 Ai Wang and Jan Sieber and William R. Young and Krasimira Tsaneva-Atanasova Time Series Analysis and Modeling of the Freezing of Gait Phenomenon . . . . . . 825--849 Stéphanie M. C. Abo and José A. Carrillo and Anita T. Layton Can the Clocks Tick Together Despite the Noise? Stochastic Simulations and Analysis . . . . . . . . . . . . . . . . 850--877 Chih-Wen Shih and Jui-Pin Tseng and Chang-Hong Wu Absolute Stability and Synchronization in Second-Order Neural Fields with Conduction Delays . . . . . . . . . . . 878--917 Edgardo Villar-Sepúlveda and Pablo Aguirre and Víctor F. Breña-Medina A Case Study of Multiple Wave Solutions in a Reaction--Diffusion System Using Invariant Manifolds and Global Bifurcations . . . . . . . . . . . . . . 918--950 Hideo Ikeda Existence and Stability of Standing Spot Solutions in a Three-Component FitzHugh--Nagumo System in $ \mathbb {R}^2 $ . . . . . . . . . . . . . . . . 951--995 Valentin Schmutz and Eva Löcherbach and Tilo Schwalger On a Finite-Size Neuronal Population Equation . . . . . . . . . . . . . . . . 996--1029 Kaihua Xi and Zhen Wang and Aijie Cheng and Hai Xiang Lin and Jan H. van Schuppen and Chenghui Zhang Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph . . . . 1030--1052 Angelo Alberti and Claudio Vidal and Jhon Vidarte Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem . . . . . . . 1053--1075 Bastian Hilder and Björn de Rijk and Guido Schneider Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction . . . . . . . . . . 1076--1113 Pedro M. Sequeira and João P. Hespanha and A. Pedro Aguiar Decomposition of Admissible Functions in Weighted Coupled Cell Networks . . . . . 1114--1152 Alberto López Yela and Joaquín Míguez Polynomial Propagation of Moments in Stochastic Differential Equations . . . 1153--1181 Theo Diamantakis and Darryl D. Holm and Grigorios A. Pavliotis Variational Principles on Geometric Rough Paths and the Lévy Area Correction 1182--1218 Aminur Rahman and J. Nathan Kutz Walking Droplets as a Damped-Driven System . . . . . . . . . . . . . . . . . 1219--1233 Michael Herty and Elisa Iacomini Filtering Methods for Coupled Inverse Problems . . . . . . . . . . . . . . . . 1234--1252 Renato Iturriaga and Kaizhi Wang A Discrete Weak KAM Method for First-Order Stationary Mean Field Games 1253--1274 Anna Dittus and Niklas Kruse and Ingo Barke and Sylvia Speller and Jens Starke Detecting Stability and Bifurcation Points in Control-Based Continuation for a Physical Experiment of the Zeeman Catastrophe Machine . . . . . . . . . . 1275--1299 Chiara Ravazzi and Giacomo Como and Michele Garetto and Emilio Leonardi and Alberto Tarable Asynchronous Semianonymous Dynamics over Large-Scale Networks . . . . . . . . . . 1300--1343 Daniele Cappelletti and Grzegorz A. Rempala Individual Molecules Dynamics in Reaction Network Models . . . . . . . . 1344--1382 Kristian Uldall Kristiansen and Morten Gram Pedersen Mixed-Mode Oscillations in Coupled FitzHugh--Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities . . . . 1383--1422 Sabina J. Haque and Matthew Satriano and Miruna-Stefana Sorea and Polly Y. Yu The Disguised Toric Locus and Affine Equivalence of Reaction Networks . . . . 1423--1444 Dan Wilson Koopman Operator Inspired Nonlinear System Identification . . . . . . . . . 1445--1471 Hangjun Cho and Jiu-Gang Dong and Seung-Yeal Ha Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia . . . . . . . . . . . . . . 1472--1501 Abhishek Deshpande Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence . . . . . . . . . 1502--1521
Bian Li and Yian Ma and J. Nathan Kutz and Xiu Yang The Adaptive Spectral Koopman Method for Dynamical Systems . . . . . . . . . . . 1523--1551 Panagiotis Kaklamanos and Nikola Popovi\'c and Kristian U. Kristiansen Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin--Huxley Equations . . . . . . . 1552--1589 Christian Bick and Tobias Böhle and Christian Kuehn Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations . . 1590--1638 Nicola Vassena Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks . . . . . . . . . . . . . . . . 1639--1672 Edgardo Villar-Sepúlveda and Alan Champneys Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems . . . . . . 1673--1709 J. Tumelty and Cedric Beaume and Alastair M. Rucklidge Toward Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection . . . . . . 1710--1742 Joan Gimeno and Jean-Philippe Lessard and J. D. Mireles James and Jiaqi Yang Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs . . . . . . . . 1743--1779 Alessio Franci and Martin Golubitsky and Ian Stewart and Anastasia Bizyaeva and Naomi E. Leonard Breaking Indecision in Multiagent, Multioption Dynamics . . . . . . . . . . 1780--1817 Oskar A. Sultanov Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise . . . . . . . . . . 1818--1851 Yoshitaka Saiki and Hiroki Takahasi and James A. Yorke Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps . . . . . . . . . . . . . 1852--1876 Arnaud Tonnelier Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model . . . . . . . . . . . . . . . . . 1877--1905 Hermen Jan Hupkes and Mia Juki\'c and Petr Stehlík and Vladimír Svígler Propagation Reversal for Bistable Differential Equations on Trees . . . . 1906--1944 Shengqing Hu Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing . . . . . . . . . 1945--1982 Samuel W. Akingbade and Marian Gidea and Tere M-Seara Arnold Diffusion in a Model of Dissipative System . . . . . . . . . . . 1983--2023 Elisenda Feliu and Nidhi Kaihnsa and Timo de Wolff and Oguzhan Yürük Parameter Region for Multistationarity in n- Site Phosphorylation Networks . . 2024--2053 Md Sayeed Anwar and Dibakar Ghosh Synchronization in Temporal Simplicial Complexes . . . . . . . . . . . . . . . 2054--2081 Tyrus Berry and Suddhasattwa Das Learning Theory for Dynamical Systems 2082--2122 Felipe J. P. Antunes and M. Soledad Aronna and Cláudia T. Codeço Modeling and Control of Malaria Dynamics in Fish Farming Regions . . . . . . . . 2123--2149 Dirk Blömker and Alexandra Neamtu Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations . . . . . . . . . . 2150--2179 Bharat Singhal and István Z. Kiss and Jr-Shin Li Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles . . . 2180--2205 Theodore W. Grunberg and Domitilla Del Vecchio Identifiability of Chemical Reaction Networks with Intrinsic and Extrinsic Noise from Stationary Distributions . . 2206--2241 T. Rossides and D. J. B. Lloyd and S. Zelik and M. R. Turner The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg--Landau Equation . . . . . . . 2242--2281 Yangrong Li and Fengling Wang and Peter Kloeden Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies . . . . . . . . . . . . . . 2282--2311 Ryan Goh and Tasso J. Kaper and Arnd Scheel and Theodore Vo Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations . . . . . . . . . . . . . . 2312--2356 Joel A. Rosenfeld and Rushikesh Kamalapurkar Singular Dynamic Mode Decomposition . . 2357--2381 Naghmeh Akhavan and James A. Yorke Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions . . . 2382--2407 Pearson W. Miller and Daniel Fortunato and Matteo Novaga and Stanislav Y. Shvartsman and Cyrill B. Muratov Generation and Motion of Interfaces in a Mass-Conserving Reaction--Diffusion System . . . . . . . . . . . . . . . . . 2408--2431 Francesco Andreuzzi and Nicola Demo and Gianluigi Rozza A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems . . . . . . . . . . . 2432--2458 Xiaoxian Tang and Kaizhang Wang Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients . . . . . . . . . . . . . . 2459--2489 Artur Prugger and Jens D. M. Rademacher and Jichen Yang Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter . . . . . 2490--2526 Pan Zheng and Wenhai Shan and Guangyuan Liao Stability Analysis of the Immune System Induced by Chemotaxis . . . . . . . . . 2527--2569 Alexandre A. P. Rodrigues and Luisa Castro Abundance of Infinite Switching . . . . 2570--2600 Katherine Owens and J. Nathan Kutz Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics . . . . . 2601--2623 Weiqi Chu and Mason A. Porter Non-Markovian Models of Opinion Dynamics on Temporal Networks . . . . . . . . . . 2624--2647
Jesús Dueñas and Carmen Núñez and Rafael Obaya Critical Transitions in $d$-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics . . . . . . . . . . 2649--2692 Jesús Dueñas and Carmen Núñez and Rafael Obaya Critical Transitions in $d$-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics . . . . . . . . . . 2649--2692 Pedro Parra-Rivas and Alan R. Champneys and Fahad Al Saadi and Damia Gomila and Edgar Knobloch Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation . . . . . . . . 2693--2731 Mauricio Ascencio and Esther Barrabés and Josep M. Cors and Claudio Vidal Stability of Equilibrium Points in the Spatially Restricted $ N + 1 $-Body Problem with Manev Potential . . . . . . 2732--2760 Bernard Bonnard and Jérémy Rouot Optimal Control of the Controlled Lotka--Volterra Equations with Applications. The Permanent Case . . . . 2761--2791 Angxiu Ni Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos . . . . . 2792--2824 Hayato Chiba and Masahiro Ikeda and Isao Ishikawa Generalized Eigenvalues of the Perron--Frobenius Operators of Symbolic Dynamical Systems . . . . . . . . . . . 2825--2855 Brian D. O. Anderson and Mengbin Ye Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré--Hopf and Manifold Theory . . . 2856--2889 Yen Ting Lin and Yifeng Tian and Danny Perez and Daniel Livescu Regression-Based Projection for Learning Mori--Zwanzig Operators . . . . . . . . 2890--2926 Aaron Kirtland and Jonah Botvinick-Greenhouse and Marianne DeBrito and Megan Osborne and Casey Johnson and Robert S. Martin and Samuel J. Araki and Daniel Q. Eckhardt An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems . . . . . . . . . . . . . . . . 2927--2944 Joshua W. Moore and Trevor C. Dale and Thomas E. Woolley Modeling Polarity-Driven Laminar Patterns in Bilayer Tissues with Mixed Signaling Mechanisms . . . . . . . . . . 2945--2990 Cris R. Hasan and Ruaidhrí Mac Cárthaigh and Sebastian Wieczorek Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: an Invariant Manifold Framework and Geographically Shifting Ecosystems . . . . . . . . . . 2991--3024 Jason L. Torchinsky and Samuel N. Stechmann Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations . . . . . . . 3025--3058 Allan M. Avila and Igor Mezi Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System . . . . . . . . . . . . 3059--3092 Olivier Hénot and Jean-Philippe Lessard and Jason D. Mireles James Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations . . . . 3093--3129 Tea Vojkovic and David Quero and Charles Poussot-Vassal and Pierre Vuillemin Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework . . . . . . . . . . . . . . . 3130--3164 Atefe Darabi and Milad Siami Centrality-Based Traffic Restriction in Delayed Epidemic Networks . . . . . . . 3165--3207 Nadav Cohen and Govind Menon and Zsolt Veraszto Deep Linear Networks for Matrix Completion --- an Infinite Depth Limit 3208--3232 Electa Cleveland and Angela Zhu and Björn Sandstede and Alexandria Volkening Quantifying Different Modeling Frameworks Using Topological Data Analysis: a Case Study with Zebrafish Patterns . . . . . . . . . . . . . . . . 3233--3266 Davide Sclosa Kuramoto Networks with Infinitely Many Stable Equilibria . . . . . . . . . . . 3267--3283 Urs Frauenfelder and Dayung Koh and Agustin Moreno Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems . . . . . . . . . . . . . . . . 3284--3319 Hong Tang and Alan Champneys Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems . . . . . . . . . . . . . . . . 3320--3357 B. W. Collins and C. L. Hall and S. J. Hogan The Rocking Can: a Reduced Equation of Motion and a Matched Asymptotic Solution 3358--3389 Michael W. Fisher and Ian A. Hiskens Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment . . . . . . . . 3390--3430
L. I. Allen and T. G. Molnár and Z. Dombóvári and S. J. Hogan The Effects of Delay on the HKB Model of Human Motor Coordination . . . . . . . . 1--25 Milen Ivanov and Björn Sandstede Truncation of Contact Defects in Reaction-Diffusion Systems . . . . . . . 26--49 Yu Tian and Renaud Lambiotte Spreading and Structural Balance on Signed Networks . . . . . . . . . . . . 50--80 Tamal K. Dey and Micha Lipi ski and Marian Mrozek and Ryan Slechta Computing Connection Matrices via Persistence-Like Reductions . . . . . . 81--97 Miquel Barcelona and Alex Haro and Josep-Maria Mondelo Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method . . . . . . . . . . . . . . . . . 98--126 Álvaro Fernández-Mora and Alex Haro and J. M. Mondelo Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems . . . . . . . . . . 127--166 Ian Stewart and David Wood Stable Synchronous Propagation of Signals by Feedforward Networks . . . . 167--204 Haonan Zhong and Kaifa Wang Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay . . . . . . 205--235 Jacob Stærk-Òstergaard and Anders Rahbek and Susanne Ditlevsen High-Dimensional Cointegration and Kuramoto Inspired Systems . . . . . . . 236--255 Aurélien Desoeuvres and Alexandru Iosif and Christoph Lüders and Ovidiu Radulescu and Hamid Rahkooy and Matthias Seiß and Thomas Sturm Reduction of Chemical Reaction Networks with Approximate Conservation Laws . . . 256--296 Olivia Cannon and Ty Bondurant and Malindi Whyte and Arnd Scheel Shifting Consensus in a Biased Compromise Model . . . . . . . . . . . . 297--324 Stefan Müller and Georg Regensburger Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems . . . 325--357 Tomas Caraballo and Zhang Chen and Lingyu Li Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation 358--382 Bogdan Batko and Marcio Gameiro and Ying Hung and William Kalies and Konstantin Mischaikow and Ewerton Vieira Identifying Nonlinear Dynamics with High Confidence from Sparse Data . . . . . . 383--409 Maikel M. Bosschaert and Yuri A. Kuznetsov Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov--Takens Bifurcation . . . . . . . . . . . . . . 410--439 Megan R. Ebers and Katherine M. Steele and J. Nathan Kutz Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects . . . . 440--469 Dan Wilson and Kai Sun Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework . . 470--504 Rhys E. Gilbert and Davide Lasagna On the Application of Optimal Control Techniques to the Shadowing Approach for Time Averaged Sensitivity Analysis of Chaotic Systems . . . . . . . . . . . . 505--552 M. M. Bosschaert and Yu. A. Kuznetsov Bifurcation Analysis of Bogdanov--Takens Bifurcations in Delay Differential Equations . . . . . . . . . . . . . . . 553--591 Alan Veliz-Cuba and Vanessa Newsome-Slade and Elena S. Dimitrova A Unified Approach to Reverse Engineering and Data Selection for Unique Network Identification . . . . . 592--615 Amanda E. Hampton and James D. Meiss Connecting Anti-integrability to Attractors for Three-Dimensional Quadratic Diffeomorphisms . . . . . . . 616--640 Shuyang Xue and Yongli Song and Hao Wang Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory . . . . . . . . 641--667 F. Crespo and D. E. Espejo and J. C. van der Meer $ \mathbb {R}^3 \times S O(3) \times \mathbb {T} $-Reduction, Relative Equilibria, and Bifurcations for the Full Averaged Model of Two Interacting Rigid Bodies . . . . . . . . . . . . . . 668--695 Shanshan Chen and Jie Liu and Yixiang Wu Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates . . . . . . . . . . . . . . . . . 696--720 Fahad Al Saadi and Alan Champneys and Mike R. Jeffrey Wave-Pinned Patterns for Cell Polarity --- a Catastrophe Theory Explanation . . 721--747 Haotian Wang and Hujiang Yang and Xiankui Meng and Ye Tian and Wenjun Liu Dynamics of Controllable Matter--Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross--Pitaevskii Equation with Temporally and Spatially Modulated Coefficients . . . . . . . . . . . . . . 748--778 Pedro Abdalla and Afonso S. Bandeira and Clara Invernizzi Guarantees for Spontaneous Synchronization on Random Geometric Graphs . . . . . . . . . . . . . . . . . 779--790 Christian Kuehn and Jan Mölter Preserving Bifurcations through Moment Closures . . . . . . . . . . . . . . . . 791--812 Aurélien Desoeuvres and Alexandru Iosif and Christoph Lüders and Ovidiu Radulescu and Hamid Rahkooy and Matthias Seiß and Thomas Sturm A Computational Approach to Polynomial Conservation Laws . . . . . . . . . . . 813--854 Katherine Morrison and Anda Degeratu and Vladimir Itskov and Carina Curto Diversity of Emergent Dynamics in Competitive Threshold-Linear Networks 855--884 Samuel Otto and Sebastian Peitz and Clarence Rowley Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories . . . . . . . . . 885--923 Megan Morrison and J. Nathan Kutz Solving Nonlinear Ordinary Differential Equations Using the Invariant Manifolds and Koopman Eigenfunctions . . . . . . . 924--960 Ying Chao and Jinqiao Duan and Pingyuan Wei Small-Noise-Induced Metastable Transition of Periodically Perturbed Systems . . . . . . . . . . . . . . . . 961--981 Andrey Bychkov and Opal Issan and Gleb Pogudin and Boris Kramer Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems . . . . 982--1016
Benjamin P. Russo and M. Paul Laiu Convergence of Weak-SINDy Surrogate Models . . . . . . . . . . . . . . . . . 1017--1051 Gergely Buza Spectral Submanifolds of the Navier--Stokes Equations . . . . . . . . 1052--1089 Marcel Oliver and Marc A. Tiofack Kenfack Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator . . . . . . . . . . . . . . . 1090--1107 Shaoli Wang and Tengfei Wang and Fei Xu and Libin Rong Bistability of an HIV Model with Immune Impairment . . . . . . . . . . . . . . . 1108--1132 Lauren D. Smith Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating . . 1133--1158 Inmaculada Baldomá and Tere M-Seara and Román Moreno Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum . . . . . . . . . . . 1159--1198 Ruofei Guan and Jana Kopfová and Dmitrii Rachinskii Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator . . . . . . . . 1199--1241 Jiu-Gang Dong Flocks with Nonlinear Inherent Dynamics under Fixed and Switching Digraphs . . . 1242--1271 Mengfeng Sun and Yijun Lou and Xinchu Fu Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model . . . . . . . . . . . . . . . . . 1272--1312 Alessia And\`o and Roderick Edwards and Nicola Guglielmi Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations . . . . . . . . . . . . 1345--1371 Sebin Gracy and Mengbin Ye and Brian D. O. Anderson and Cesar A. Uribe Towards Understanding the Endemic Behavior of a Competitive Tri-virus SIS Networked Model . . . . . . . . . . . . 1372--1410 K. U. Kristiansen and R. Ortega Circularization in the Damped Kepler Problem . . . . . . . . . . . . . . . . 1372--1410 Heather Z. Brooks and Philip S. Chodrow and Mason A. Porter Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics . . . . . . . . . . . . . . . . 1442--1470 Youngmin Park and Dan Wilson $N$-Body Oscillator Interactions of Higher-Order Coupling Functions . . . . 1471--1503 Mathias Wanner and Igor Mezi\'c On Higher Order Drift and Diffusion Estimates for Stochastic SINDy . . . . . 1504--1539 Hildeberto Jardón-Kojakhmetov and Christian Kuehn and Iacopo P. Longo Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling 1540--1578 Haridas K. Das and Lucas M. Stolerman Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility . . . . . . 1579--1609 John M. Neuberger and Nándor Sieben and James W. Swift A Bifurcation Lemma for Invariant Subspaces . . . . . . . . . . . . . . . 1610--1635 Max Kreider and Peter J. Thomas On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators . . . . 1636--1676 Pei Yu and Pantea Pooladvand and Mark M. Tanaka and Lindi M. Wahl Extinctions Caused by Host-Range Expansion . . . . . . . . . . . . . . . 1677--1703
Frank E. Baginski and Valério Ramos Batista Closed Geodesics on Weingarten Surfaces with $ \kappa_1 / \kappa_2 = c \gt 0 $ 1705--1719 Shih-Hsin Chen and Chun-Hsiung Hsia and Ting-Yang Hsiao Complete and Partial Synchronization of Two-Group and Three-Group Kuramoto Oscillators . . . . . . . . . . . . . . 1720--1765 David Blessing and J. D. Mireles James Weighted Birkhoff Averages and the Parameterization Method . . . . . . . . 1766--1804 Brendan Harding and Yvonne M. Stokes and Rahil N. Valani Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section . . . . 1805--1835 Samuel Jelbart Rate and Bifurcation Induced Transitions in Asymptotically Slow-Fast Systems . . 1836--1869 Martin Eigel and Robert Gruhlke and David Sommer Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy . . . . . . . . . . . . . . . . 1870--1908 Len Spek and Stephan A. van Gils and Yuri A. Kuznetsov and Mónika Polner Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays . . . . 1909--1945 Théophile Caby and Pierre Guiraud Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps . . . 1946--1965 Matthieu Cadiot and Jean-Philippe Lessard and Jean-Christophe Nave Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods . . . . . . . . . . . . 1966--2017 Chunyi Gai and Michael J. Ward The Nucleation--Annihilation Dynamics of Hotspot Patterns for a Reaction--Diffusion System of Urban Crime with Police Deployment . . . . . . 2018--2060 Ilya Pavlyukevich and Marian Ritsch Stochastic Energy-Balance Model With A Moving Ice Line . . . . . . . . . . . . 2061--2098 Bronwyn H. Bradshaw-Hajek and Ian Lizarraga and Robert Marangell and Martin Wechselberger A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction--Nonlinear Diffusion Models . . 2099--2137 Cyprien Tamekue and Dario Prandi and Yacine Chitour A Mathematical Model of the Visual MacKay Effect . . . . . . . . . . . . . 2138--2178 Cashous Bortner and Nicolette Meshkat Graph-Based Sufficient Conditions for the Indistinguishability of Linear Compartmental Models . . . . . . . . . . 2179--2207 A. Borovykh and N. Kantas and P. Parpas and G. A. Pavliotis Stochastic Mirror Descent for Convex Optimization with Consensus Constraints 2208--2241 P. Glendinning and S. J. Hogan and M. E. Homer and M. R. Jeffrey and R. Szalai Classification of Filippov Type 3 Singular Points in Planar Bimodal Piecewise Smooth Systems . . . . . . . . 2242--2261