SIAM Journal on Applied Dynamical Systems

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	64
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	37
Lane Formation and Aggregation Spots in a Model of Ants	31
Reconstruction of Network Dynamics from Partial Observations	31
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	30
Isolas in Nonlinear Fluid Networks	27
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	20
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	19
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	19
Polynomial Propagation of Moments in Stochastic Differential Equations	19
Walking Droplets as a Damped-Driven System	17
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	17
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	16
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	16
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	15
Distributed Delay and Desynchronization in a Neural Mass Model	15
A Generalized Model of Flocking with Steering	14
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	14
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	14
A Bifurcation Lemma for Invariant Subspaces	14
Learning Theory for Dynamical Systems	14
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13
Preserving Bifurcations through Moment Closures	12

Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12
Erratum: Abundance of Infinite Switching	12
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	12
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	12
Data-Driven Identification of Attractors Using Machine Learning	11
Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	11
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	11
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	10
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	10
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	10
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	10
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
The Adaptive Spectral Koopman Method for Dynamical Systems	10
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
Modeling and Control of Malaria Dynamics in Fish Farming Regions	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
Bistability of Traveling Waves and Wave-Pinning States in a Mass-Conserved Reaction-Diffusion System: From Bifurcations to Implications for Actin Waves	9
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	9
Max-Cut via Kuramoto-Type Oscillators	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Filtered Finite State Projection Method for the Analysis and Estimation of Stochastic Biochemical Reaction Networks	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	8
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	8
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	8
Propagation Reversal for Bistable Differential Equations on Trees	8
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	8
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	8
Intraguild Predation Communities with Anti-predator Behavior	8
Bistability of an HIV Model with Immune Impairment	8
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	8
Homeostasis Patterns	8
Unique Reconstruction from Mean-Field Measurements	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	7
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Global Stability of Wright-Type Equations with Negative Schwarzian	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Koopman Reduced-Order Modeling with Confidence Bounds	7
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	7
Stable Synchronous Propagation of Signals by Feedforward Networks	7
The Effects of Delay on the HKB Model of Human Motor Coordination	7
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	6

Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	6
Bulk Topological States in a New Collective Dynamics Model	6
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	6
Testing Topological Conjugacy of Time Series	6
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	6
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
\({C^{k}}\) Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	5
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
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
Singular Dynamic Mode Decomposition	5
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Stochastic Energy-Balance Model With A Moving Ice Line	4
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	4
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	4
Multicluster Flocking in the Motsch–Tadmor Model	4
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	4
\({k}\)-Independent Boolean Networks	4
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4
Traveling Waves and Propagation Dynamics of Competitive Systems in a Road-Field Environment with Climate Change	4
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	4
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	4
The Role of Mutants in the Spatiotemporal Progression of Inflammatory Bowel Disease: Three Classes of Permanent Form Traveling Waves	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	4
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	4
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
An Exact Solution for a Nonautonomous Delay Differential Equation	4
Synchronization in Temporal Simplicial Complexes	4
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Order and Disorder in a Cyclically Competitive Ecological Community	3
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	3
How Time and Pollster History Affect U.S. Election Forecasts under a Compartmental Modeling Approach	3
Long-Time Accuracy of Ensemble Kalman Filters for Chaotic Dynamical Systems and Machine-Learned Dynamical Systems	3
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	3
A Theoretical Approach for Gait Generation of the CPG Controller by Using the Time-Delay Coupled Oscillators	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	3
Identifiability of Directed-Cycle and Catenary Linear Compartmental Models	3
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	3
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	3
Periodic Oscillations in a \(2{N}\) -Body Problem	3
Balanced Dynamics in Strongly Coupled Networks	3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	3
Les Canards de Turing	3
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	3
Stabilization of Propagating Bubbles Using Control-Based Continuation	3
Spectral Submanifolds of the Navier–Stokes Equations	3
Bounded-Confidence Models of Multidimensional Opinions with Topic-Weighted Discordance	3
High-Dimensional Cointegration and Kuramoto Inspired Systems	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3

Slow-fast Systems with Stochastic Resetting	3
Circularization in the Damped Kepler Problem	3
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	3
Phase Synchronization in Random Geometric Graphs on the Two-Dimensional Sphere	3
The Asymptotic Frequency of Stochastic Oscillators	3
On the Stability of the Periodic Waves for the Benney System	3
Stability Analysis of the Immune System Induced by Chemotaxis	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	3
Optimal Energy Shaping via Neural Approximators	3
Convergence of Weak-SINDy Surrogate Models	3
Variationally Consistent Hamiltonian Model Reduction	3
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	3
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	3
Topological Entropy of Surface Braids and Maximally Efficient Mixing	3
Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical System	3
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity	3
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	2
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	2
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	2
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	2
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	2
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	2
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	2
Realizations Through Weakly Reversible Networks and the Globally Attracting Locus	2
Analysis of Dry Friction Dynamics in a Vibro-impact Energy Harvester	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Computer Assisted Discovery of Integrability via SILO: Sparse Identification of Lax Operators	2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	2
On a Finite-Size Neuronal Population Equation	2
Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Periodic and Quasiperiodic Waves on the Sphere	2
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	2
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	2
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	2
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	2
Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections	2