SIAM Journal on Applied Dynamical Systems

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	66
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	37
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	32
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	32
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	31
Lane Formation and Aggregation Spots in a Model of Ants	30
Reconstruction of Network Dynamics from Partial Observations	22
Isolas in Nonlinear Fluid Networks	22
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	21
Walking Droplets as a Damped-Driven System	20
Polynomial Propagation of Moments in Stochastic Differential Equations	20
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	20
Distributed Delay and Desynchronization in a Neural Mass Model	17
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	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
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	15
A Generalized Model of Flocking with Steering	15
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	14
Erratum: Abundance of Infinite Switching	14
A Bifurcation Lemma for Invariant Subspaces	14
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	14
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	14
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	14

Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	13
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	12
Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	12
Data-Driven Identification of Attractors Using Machine Learning	12
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	12
Learning Theory for Dynamical Systems	11
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	11
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	11
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	11
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	11
Preserving Bifurcations through Moment Closures	11
The Adaptive Spectral Koopman Method for Dynamical Systems	11
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	11
Modeling and Control of Malaria Dynamics in Fish Farming Regions	10
Bistability of Traveling Waves and Wave-Pinning States in a Mass-Conserved Reaction-Diffusion System: From Bifurcations to Implications for Actin Waves	10
Filtered Finite State Projection Method for the Analysis and Estimation of Stochastic Biochemical Reaction Networks	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	10
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	10
Max-Cut via Kuramoto-Type Oscillators	10
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	9
Bistability of an HIV Model with Immune Impairment	9
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	9
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	9
The Effects of Delay on the HKB Model of Human Motor Coordination	8
Unique Reconstruction from Mean-Field Measurements	8
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	8
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	8
Propagation Reversal for Bistable Differential Equations on Trees	8
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	8
Global Stability of Wright-Type Equations with Negative Schwarzian	8
Homeostasis Patterns	8
Intraguild Predation Communities with Anti-predator Behavior	8
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	7
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Koopman Reduced-Order Modeling with Confidence Bounds	7

\({C^{k}}\) Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	7
Testing Topological Conjugacy of Time Series	7
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	6
Bulk Topological States in a New Collective Dynamics Model	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Sensitivity Analysis for Time-Varying Ecological Networks	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	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
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	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
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
Hamiltonian Triplet Interactions: Areal and Perimetric Forces	6
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	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
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Singular Dynamic Mode Decomposition	5
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Kuramoto Networks with Infinitely Many Stable Equilibria	5
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	5
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	5
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	5
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	4
\({k}\)-Independent Boolean Networks	4
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	4
Order and Disorder in a Cyclically Competitive Ecological Community	4
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	4
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	4
Traveling Waves and Propagation Dynamics of Competitive Systems in a Road-Field Environment with Climate Change	4
Synchronization in Temporal Simplicial Complexes	4
The Role of Mutants in the Spatiotemporal Progression of Inflammatory Bowel Disease: Three Classes of Permanent Form Traveling Waves	4
Multicluster Flocking in the Motsch–Tadmor Model	4
An Exact Solution for a Nonautonomous Delay Differential Equation	4
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	4
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	4
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	4
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
Stochastic Energy-Balance Model With A Moving Ice Line	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	4
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	3
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	3
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	3
Variationally Consistent Hamiltonian Model Reduction	3
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	3
Les Canards de Turing	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	3
High-Dimensional Cointegration and Kuramoto Inspired Systems	3
Optimal Energy Shaping via Neural Approximators	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Slow-fast Systems with Stochastic Resetting	3
Balanced Dynamics in Strongly Coupled Networks	3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation	3
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	3
Convergence of Weak-SINDy Surrogate Models	3
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	3
Identifiability of Directed-Cycle and Catenary Linear Compartmental Models	3
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	3
Bounded-Confidence Models of Multidimensional Opinions with Topic-Weighted Discordance	3
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity	3

Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical System	3
Circularization in the Damped Kepler Problem	3
On the Stability of the Periodic Waves for the Benney System	3
Stability Analysis of the Immune System Induced by Chemotaxis	3
The Asymptotic Frequency of Stochastic Oscillators	3
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	3
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	3
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	3
Spectral Submanifolds of the Navier–Stokes Equations	3
A Theoretical Approach for Gait Generation of the CPG Controller by Using the Time-Delay Coupled Oscillators	3
Stabilization of Propagating Bubbles Using Control-Based Continuation	3
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	3
Phase Synchronization in Random Geometric Graphs on the Two-Dimensional Sphere	3
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	3
Periodic Oscillations in a \(2{N}\) -Body Problem	3
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Long-Time Accuracy of Ensemble Kalman Filters for Chaotic Dynamical Systems and Machine-Learned Dynamical Systems	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
Periodic and Quasiperiodic Waves on the Sphere	2
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	2
On a Finite-Size Neuronal Population Equation	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	2
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	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
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	2
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	2
Koopman Operator Inspired Nonlinear System Identification	2
Turing Instability of the Periodic Solutions for the Reaction-Diffusion System Involving Nonlocal Delays	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	2
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	2
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	2
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	2
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	2
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	2
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	2
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Realizations Through Weakly Reversible Networks and the Globally Attracting Locus	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
Analysis of Dry Friction Dynamics in a Vibro-impact Energy Harvester	2
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	2
Truncation of Contact Defects in Reaction-Diffusion Systems	2
An Extension of the Chemostat Model with Linear Coupling Between Species	2