Last update:
Thu Oct 19 06:22:27 MDT 2023
Claudia 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
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