SIAM Journal on Applied Dynamical Systems

Article	Citations
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	24
How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks	19
A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay	18
Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments	17
Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework	15
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	15
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs	13
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach	12
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	12
Limitations and Improvements of the Intelligent Driver Model (IDM)	11
The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks	11
Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics	10
Motifs for Processes on Networks	9
A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem	9
Data Assimilation for the Navier--Stokes Equations Using Local Observables	9
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	9
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	8
Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments	8
Time-Varying Autoregression with Low-Rank Tensors	8
Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation	8
The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks	8
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation	8
Conley's Fundamental Theorem for a Class of Hybrid Systems	7
Interpolatory Methods for Generic BizJet Gust Load Alleviation Function	7
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach	7

Multistability of Small Reaction Networks	7
A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates	7
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	7
Sequential Attractors in Combinatorial Threshold-Linear Networks	7
Graphop Mean-Field Limits for Kuramoto-Type Models	7
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities	7
A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem	6
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	6
Synchronization in Temporal Simplicial Complexes	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Robust and Scalable Methods for the Dynamic Mode Decomposition	6
Symbolic Proof of Bistability in Reaction Networks	6
Stability Domains for Quadratic-Bilinear Reduced-Order Models	6
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	5
Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres	5
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation	5
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow	5
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	5
Linking Network Structure and Dynamics to Describe the Set of Persistent Species in Reaction Diffusion Systems	5
Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations	5
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	5
Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations	5
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators	5
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities	5
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	5
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	5
Random Attraction in the TASEP Model	5
Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains	5
Sparsity Structures for Koopman and Perron--Frobenius Operators	4
Nonlinear Consensus on Networks: Equilibria, Effective Resistance, and Trees of Motifs	4
The Geometry of the Painlevé Paradox	4
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems	4
Rough Path Theory to Approximate Random Dynamical Systems	4
Optimal Energy Shaping via Neural Approximators	4
Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities	4
Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations	4
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	4
Robust Approximation of the Stochastic Koopman Operator	4
Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane	4
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	4
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue	4
Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors	4
Emergent Behaviors of Rotation Matrix Flocks	4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	3
Neuromechanical Mechanisms of Gait Adaptation in C. elegans: Relative Roles of Neural and Mechanical Coupling	3
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	3
Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model	3
Anti-integrability for Three-Dimensional Quadratic Maps	3

Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	3
Slow-fast Dynamics of Strongly Coupled Adaptive Frequency Oscillators	3
Walking Droplets as a Damped-Driven System	3
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models	3
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	3
Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network	3
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	3
Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities	3
Validated Spectral Stability via Conjugate Points	3
Regularization of Isolated Codimension-2 Discontinuity Sets	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
Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals	3
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	3
A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces	3
Periodic Solutions in Threshold-Linear Networks and Their Entrainment	3
On Differential Equations with Codimension-$n$ Discontinuity Sets	2
Stability Analysis of the Immune System Induced by Chemotaxis	2
Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation	2
Data-Driven Reconstruction and Encoding of Sparse Stimuli across Convergent Sensory Layers from Downstream Neuronal Network Dynamics	2
Commutative Monoid Formalism for Weighted Coupled Cell Networks and Invariant Synchrony Patterns	2
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	2
Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks	2
Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario	2
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	2
Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts	2
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	2
Synchronous Glacial Cycles in a Nonsmooth Conceptual Climate Model with Asymmetric Hemispheres	2
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	2
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	2
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	2
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2
Hunting $\varepsilon$: The Origin and Validity of Quasi-Steady-State Reductions in Enzyme Kinetics	2
Bulk Topological States in a New Collective Dynamics Model	2
Knudsen Diffusivity in Random Billiards: Spectrum, Geometry, and Computation	2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	2
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems	2
Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems	2
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	2
Derivative-Free Bayesian Inversion Using Multiscale Dynamics	2
A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup	2
Matrix Scaling and Tipping Points	2
Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition	2
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	2
Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori	2
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	2
Noise-Driven Oscillations in Coupled Excitable Systems	1
Neural Fields with Rebound Currents: Novel Routes to Patterning	1
Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics	1
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	1
On the Approximation of Koopman Spectra of Measure-Preserving Flows	1
Koopman Operators and the $3x+1$-Dynamical System	1
Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm	1
Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction	1
Global Nonlinear Normal Modes in the Fullerene Molecule $C_{60}$	1
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	1
Detecting Stability and Bifurcation Points in Control-Based Continuation for a Physical Experiment of the Zeeman Catastrophe Machine	1
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	1
A Pulsed-Precipitation Model of Dryland Vegetation Pattern Formation	1
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	1
Non-Markovian Models of Opinion Dynamics on Temporal Networks	1
Max-Cut via Kuramoto-Type Oscillators	1
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	1
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	1
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	1
Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation	1
Dynamical Organization of Recollisions by a Family of Invariant Tori	1
Discriminant Dynamic Mode Decomposition for Labeled Spatiotemporal Data Collections	1
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	1
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	1
Topological Entropy of Surface Braids and Maximally Efficient Mixing	1
Reduced Lattices of Synchrony Subspaces and Their Indices	1
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems	1
On the Stability of the Periodic Waves for the Benney System	1
Singular Dynamic Mode Decomposition	1
Decomposition of Admissible Functions in Weighted Coupled Cell Networks	1
A Generalized Model of Flocking with Steering	1

Integration of Additive Self-Motion Inputs in a General Bump Attractor Model	1
Optimal Control of the Controlled Lotka–Volterra Equations with Applications. The Permanent Case	1
Asynchronous Semianonymous Dynamics over Large-Scale Networks	1
Uniform-in-Time Continuum Limit of the Winfree Model on an Infinite Cylinder and Emergent Dynamics	1
Sensor Placement Sensitivity and Robust Reconstruction of Wave Dynamics from Multiple Sensors	1
Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit	1
Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations	1
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	1
Analysis of Pandemic Closing-Reopening Cycles Using Rigorous Homotopy Continuation: A Case Study with Montreal COVID-19 Data	1
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	1
On the Conjecture of the Role of Advection in a Two-Species Competition-Diffusion Model	1
A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations	1
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	1
On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam	1
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	1
Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence	1
Nonlinear Conditional Model Bias Estimation for Data Assimilation	1
Learning to Forecast Dynamical Systems from Streaming Data	1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling	1
Hausdorff Continuity of Region of Attraction Boundary Under Parameter Variation with Application to Disturbance Recovery	1
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	1
Tracking Distributed Parameters System Dynamics with Recursive Dynamic Mode Decomposition with Control	1
Regression-Based Projection for Learning Mori–Zwanzig Operators	1
On a Finite-Size Neuronal Population Equation	1
The Role of Multiple Repetitions on the Size of a Rumor	1
Individual Molecules Dynamics in Reaction Network Models	1
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	1
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem	1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	1
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	1
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	1