SIAM Journal on Applied Dynamical Systems

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	55
Reconstruction of Network Dynamics from Partial Observations	44
Isolas in Nonlinear Fluid Networks	30
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	30
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	25
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	22
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	20
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	18
Lane Formation and Aggregation Spots in a Model of Ants	17
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	17
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	16
Polynomial Propagation of Moments in Stochastic Differential Equations	16
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	15
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	15
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	15
A Generalized Model of Flocking with Steering	14
Walking Droplets as a Damped-Driven System	14
Distributed Delay and Desynchronization in a Neural Mass Model	14
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	13
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	13
A Bifurcation Lemma for Invariant Subspaces	13
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	12
Erratum: Abundance of Infinite Switching	12
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12

Preserving Bifurcations through Moment Closures	12
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	11
Learning Theory for Dynamical Systems	11
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	11
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	11
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	11
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	10
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	10
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	10
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	10
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	10
The Adaptive Spectral Koopman Method for Dynamical Systems	10
Bistability of an HIV Model with Immune Impairment	10
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
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
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	8
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	8
Homeostasis Patterns	8
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	8
Max-Cut via Kuramoto-Type Oscillators	8
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	8
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	8
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	8
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	7
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	7
Intraguild Predation Communities with Anti-predator Behavior	7
Stable Synchronous Propagation of Signals by Feedforward Networks	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
Propagation Reversal for Bistable Differential Equations on Trees	7
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	7
The Effects of Delay on the HKB Model of Human Motor Coordination	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Koopman Reduced-Order Modeling with Confidence Bounds	7
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	7
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	7
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	7
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	7
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	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
Bulk Topological States in a New Collective Dynamics Model	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6

Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	6
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	6
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	6
Bifurcation Analysis of a Modified Cardiac Cell Model	6
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5
Testing Topological Conjugacy of Time Series	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Singular Dynamic Mode Decomposition	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	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
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	5
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	4
Traveling Waves and Propagation Dynamics of Competitive Systems in a Road-Field Environment with Climate Change	4
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	4
Multicluster Flocking in the Motsch–Tadmor Model	4
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	4
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
Anti-integrability for Three-Dimensional Quadratic Maps	4
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	4
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	4
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	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	4
An Exact Solution for a Nonautonomous Delay Differential Equation	4
Synchronization in Temporal Simplicial Complexes	4
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	4
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
Stochastic Energy-Balance Model With A Moving Ice Line	4
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	4
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	4
A Nonautonomous Equation Discovery Method for Time Signal Classification	3
Slow-fast Systems with Stochastic Resetting	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity	3
Periodic Oscillations in a \(2{N}\) -Body Problem	3
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Order and Disorder in a Cyclically Competitive Ecological Community	3
Stability Analysis of the Immune System Induced by Chemotaxis	3
High-Dimensional Cointegration and Kuramoto Inspired Systems	3
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	3
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	3
Optimal Energy Shaping via Neural Approximators	3
Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical System	3
Circularization in the Damped Kepler Problem	3
Topological Entropy of Surface Braids and Maximally Efficient Mixing	3
On the Stability of the Periodic Waves for the Benney System	3
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	3
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	3
Spectral Submanifolds of the Navier–Stokes Equations	3
Convergence of Weak-SINDy Surrogate Models	3
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	3

Les Canards de Turing	3
The Asymptotic Frequency of Stochastic Oscillators	3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	3
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	3
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	3
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	3
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	3
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	2
Variationally Consistent Hamiltonian Model Reduction	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	2
Koopman Operator Inspired Nonlinear System Identification	2
Periodic and Quasiperiodic Waves on the Sphere	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	2
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	2
Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation	2
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	2
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	2
On a Finite-Size Neuronal Population Equation	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Turing Instability of the Periodic Solutions for the Reaction-Diffusion System Involving Nonlocal Delays	2
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Analysis of Dry Friction Dynamics in a Vibro-impact Energy Harvester	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	2
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	2
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	2
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	2
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	2
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	2
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	2