SIAM Journal on Applied Dynamical Systems

Article	Citations
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	31
A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay	21
Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments	20
How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks	20
Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework	19
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	17
Limitations and Improvements of the Intelligent Driver Model (IDM)	17
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	16
The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks	15
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs	14
Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics	14
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	13
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach	13
Motifs for Processes on Networks	12
Data Assimilation for the Navier--Stokes Equations Using Local Observables	11
Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation	11
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	11
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation	11
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	10
A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates	9
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	9
The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks	9
Time-Varying Autoregression with Low-Rank Tensors	9
Graphop Mean-Field Limits for Kuramoto-Type Models	9
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems	8

Periodic Solutions in Threshold-Linear Networks and Their Entrainment	8
Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations	8
Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments	8
Stability Domains for Quadratic-Bilinear Reduced-Order Models	8
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities	8
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	8
Sequential Attractors in Combinatorial Threshold-Linear Networks	8
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators	8
A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem	8
Synchronization in Temporal Simplicial Complexes	8
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach	8
Robust and Scalable Methods for the Dynamic Mode Decomposition	7
Multistability of Small Reaction Networks	7
Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains	7
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	7
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	7
Breaking Indecision in Multiagent, Multioption Dynamics	7
Interpolatory Methods for Generic BizJet Gust Load Alleviation Function	7
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities	7
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	7
Conley's Fundamental Theorem for a Class of Hybrid Systems	7
Random Attraction in the TASEP Model	7
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	7
Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems	7
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane	6
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	6
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	6
Robust Approximation of the Stochastic Koopman Operator	6
Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations	6
Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities	6
Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations	6
Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations	6
A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem	6
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	6
Symbolic Proof of Bistability in Reaction Networks	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Optimal Energy Shaping via Neural Approximators	6
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	6
Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs	5
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow	5
A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces	5
Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres	5
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation	5
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	5
Regularization of Isolated Codimension-2 Discontinuity Sets	5
Emergent Behaviors of Rotation Matrix Flocks	5
Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities	5
Dynamics of Controllable Matter-Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross–Pitaevskii Equation with Temporally and Spatially Modulated Coefficients	5
The Geometry of the Painlevé Paradox	5

Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	4
Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors	4
Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model	4
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
On Differential Equations with Codimension-$n$ Discontinuity Sets	4
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	4
Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators	4
Rough Path Theory to Approximate Random Dynamical Systems	4
Sparsity Structures for Koopman and Perron--Frobenius Operators	4
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	4
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	4
Neuromechanical Mechanisms of Gait Adaptation in C. elegans: Relative Roles of Neural and Mechanical Coupling	4
Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds	4
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue	4
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	4
Derivative-Free Bayesian Inversion Using Multiscale Dynamics	4
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	4
Individual Molecules Dynamics in Reaction Network Models	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	3
Bulk Topological States in a New Collective Dynamics Model	3
A Nonautonomous Equation Discovery Method for Time Signal Classification	3
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals	3
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	3
The Adaptive Spectral Koopman Method for Dynamical Systems	3
Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics	3
Validated Spectral Stability via Conjugate Points	3
Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori	3
Walking Droplets as a Damped-Driven System	3
A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations	3
Tracking Distributed Parameters System Dynamics with Recursive Dynamic Mode Decomposition with Control	3
Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network	3
Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation	3
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem	3
On the Approximation of Koopman Spectra of Measure-Preserving Flows	3
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	3
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	3
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	3
A Graph-Theoretic Condition for Delay Stability of Reaction Systems	3
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations	3
Synchrony and Antisynchrony in Weighted Networks	3
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	3
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	3
Anti-integrability for Three-Dimensional Quadratic Maps	3
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	3
Synchronous Glacial Cycles in a Nonsmooth Conceptual Climate Model with Asymmetric Hemispheres	2
Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation	2
On a Finite-Size Neuronal Population Equation	2
Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks	2
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	2
Queues with Delayed Information: A Dynamical Systems Perspective	2
A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup	2
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	2
Matrix Scaling and Tipping Points	2
Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts	2
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	2
Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems	2
Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition	2
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator	2
Singular Dynamic Mode Decomposition	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Non-Markovian Models of Opinion Dynamics on Temporal Networks	2
Stability Analysis of the Immune System Induced by Chemotaxis	2
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	2
A Posteriori Validation of Generalized Polynomial Chaos Expansions	2
Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario	2
On the Conjecture of the Role of Advection in a Two-Species Competition-Diffusion Model	2
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	2
Data-Driven Reconstruction and Encoding of Sparse Stimuli across Convergent Sensory Layers from Downstream Neuronal Network Dynamics	2
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	2
Max-Cut via Kuramoto-Type Oscillators	2
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Learning Theory for Dynamical Systems	2
Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit	2
Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method	2
Hunting $\varepsilon$: The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics	2

Detecting Stability and Bifurcation Points in Control-Based Continuation for a Physical Experiment of the Zeeman Catastrophe Machine	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Learning to Forecast Dynamical Systems from Streaming Data	2
Convergence of Weak-SINDy Surrogate Models	2
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	2
Knudsen Diffusivity in Random Billiards: Spectrum, Geometry, and Computation	2
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	2
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	2
Optimal Control of the Controlled Lotka–Volterra Equations with Applications. The Permanent Case	2
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Towards Understanding the Endemic Behavior of a Competitive Tri-virus SIS Networked Model	2
Commutative Monoid Formalism for Weighted Coupled Cell Networks and Invariant Synchrony Patterns	2
Spreading and Structural Balance on Signed Networks	2
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	2
Reactivity, Attenuation, and Transients in Metapopulations	2
Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory	2
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	1
Bistability of an HIV Model with Immune Impairment	1
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	1
Discriminant Dynamic Mode Decomposition for Labeled Spatiotemporal Data Collections	1
Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows	1
Reduced Lattices of Synchrony Subspaces and Their Indices	1
Koopman Operator Inspired Nonlinear System Identification	1
Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction	1
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model	1
Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations	1
Singularities of Invariant Densities for Random Switching between Two Linear ODEs in 2D	1
Arnold Diffusion in a Model of Dissipative System	1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games	1
On the Stability of the Periodic Waves for the Benney System	1
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	1
Integration of Additive Self-Motion Inputs in a General Bump Attractor Model	1
Topological Entropy of Surface Braids and Maximally Efficient Mixing	1
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	1
Uniform-in-Time Continuum Limit of the Winfree Model on an Infinite Cylinder and Emergent Dynamics	1
The Asymptotic Frequency of Stochastic Oscillators	1
Diversity of Emergent Dynamics in Competitive Threshold-Linear Networks	1
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	1
Toward Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection	1
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	1
Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation	1
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	1
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	1
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	1
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	1
Neural Fields with Rebound Currents: Novel Routes to Patterning	1
Koopman Operators and the $3x+1$-Dynamical System	1
Propagation Reversal for Bistable Differential Equations on Trees	1
Noise-Driven Oscillations in Coupled Excitable Systems	1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	1
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	1
Global Nonlinear Normal Modes in the Fullerene Molecule $C_{60}$	1
A Generalized Model of Flocking with Steering	1
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	1
A Pulsed-Precipitation Model of Dryland Vegetation Pattern Formation	1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs	1
On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam	1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	1
Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph	1
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	1
Dynamical Organization of Recollisions by a Family of Invariant Tori	1
Sensor Placement Sensitivity and Robust Reconstruction of Wave Dynamics from Multiple Sensors	1
Spectral Submanifolds of the Navier–Stokes Equations	1
Analysis of Pandemic Closing-Reopening Cycles Using Rigorous Homotopy Continuation: A Case Study with Montreal COVID-19 Data	1
Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy	1
Generation and Motion of Interfaces in a Mass-Conserving Reaction-Diffusion System	1
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	1
Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence	1
Stable Synchronous Propagation of Signals by Feedforward Networks	1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems	1
Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm	1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)	1
A Unified Approach to Reverse Engineering and Data Selection for Unique Network Identification	1
Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations	1
Decomposition of Admissible Functions in Weighted Coupled Cell Networks	1
The Role of Multiple Repetitions on the Size of a Rumor	1
Hausdorff Continuity of Region of Attraction Boundary Under Parameter Variation with Application to Disturbance Recovery	1
Inertial Focusing Dynamics of Spherical Particles in Curved Microfluidic Ducts with a Trapezoidal Cross Section	1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling	1
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	1
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	1
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	1