SIAM Journal on Applied Dynamical Systems

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	36
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	34
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	33
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	33
Isolas in Nonlinear Fluid Networks	29
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	24
Reconstruction of Network Dynamics from Partial Observations	23
Lane Formation and Aggregation Spots in a Model of Ants	22
Global Analysis of Regulatory Network Dynamics: Equilibria and Saddle-Node Bifurcations	22
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	19
Polynomial Propagation of Moments in Stochastic Differential Equations	18
Walking Droplets as a Damped-Driven System	17
Multihumped Collapsing Solutions in the Nonlinear Schrödinger Problem: Existence, Stability, and Dynamics	17
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	16
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	16
Distributed Delay and Desynchronization in a Neural Mass Model	15
A Bifurcation Lemma for Invariant Subspaces	15
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	14
Erratum: Abundance of Infinite Switching	14
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	14
Learning Theory for Dynamical Systems	13
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	13
Data-Driven Identification of Attractors Using Machine Learning	13
Preserving Bifurcations through Moment Closures	13

Emergence of Supercritical Hopf Bifurcations in Coupled Oscillator Ensembles and How Desynchronization Can Facilitate Energy-Optimal Phase Resetting	13
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	13
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	13
Complex Dynamics in an Epidemic Model with Imitation-Driven Vaccination Strategy	13
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	12
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	12
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	12
The Adaptive Spectral Koopman Method for Dynamical Systems	12
Analytic Extended Dynamic Mode Decomposition	11
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	11
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	11
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	10
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	10
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	10
Modeling and Control of Malaria Dynamics in Fish Farming Regions	10
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	10
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	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	9
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	9
Unique Reconstruction from Mean-Field Measurements	9
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	9
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	9
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	9
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	9
Global Stability of Wright-Type Equations with Negative Schwarzian	9
Intraguild Predation Communities with Anti-predator Behavior	9
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	9
Bistability of an HIV Model with Immune Impairment	9
Max-Cut via Kuramoto-Type Oscillators	9
Propagation Reversal for Bistable Differential Equations on Trees	9
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	9
A Julia Tool for Analysis of Discrete-Time Planar Systems	8
The Effects of Delay on the HKB Model of Human Motor Coordination	8
Entropic Transfer Operators for Stochastic Systems	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Homeostasis Patterns	8
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	8
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	8
Koopman Reduced-Order Modeling with Confidence Bounds	7
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	7
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	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
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	7
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	7
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	7
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	7
Helfrich Cylinders—Instabilities, Bifurcations, and Amplitude Equations	7
Testing Topological Conjugacy of Time Series	7
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	7

Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	7
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	7
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	7
\({C^{k}}\) Extension and Invariant Manifolds for the Compactification of Nonautonomous Systems with Autonomous Limits	6
Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	6
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	6
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	6
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	6
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	6
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	6
Hamiltonian Triplet Interactions: Areal and Perimetric Forces	6
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	6
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	6
Sensitivity Analysis for Time-Varying Ecological Networks	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	5
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	5
Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition	5
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	5
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	5
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	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
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	5
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	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
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	5
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	5
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	5
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	5
Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay	4
Synchronization in Temporal Simplicial Complexes	4
Traveling Waves and Propagation Dynamics of Competitive Systems in a Road-Field Environment with Climate Change	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
\({k}\)-Independent Boolean Networks	4
A Mathematical Mechanism of Reservoir Computing for Dynamical Systems	4
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	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
An Exact Solution for a Nonautonomous Delay Differential Equation	4
Multicluster Flocking in the Motsch–Tadmor Model	4
Order and Disorder in a Cyclically Competitive Ecological Community	4
How Time and Pollster History Affect U.S. Election Forecasts under a Compartmental Modeling Approach	4
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	4
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	4
Stochastic Energy-Balance Model With A Moving Ice Line	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	4
The Role of Mutants in the Spatiotemporal Progression of Inflammatory Bowel Disease: Three Classes of Permanent Form Traveling Waves	4
Asynchronous Semianonymous Dynamics over Large-Scale Networks	4
Bounded-Confidence Models of Multidimensional Opinions with Topic-Weighted Discordance	3
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	3
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	3
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	3
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	3
The Asymptotic Frequency of Stochastic Oscillators	3
High-Dimensional Cointegration and Kuramoto Inspired Systems	3
Periodic Oscillations in a \(2{N}\) -Body Problem	3
Spectral Submanifolds of the Navier–Stokes Equations	3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	3
Long-Time Accuracy of Ensemble Kalman Filters for Chaotic Dynamical Systems and Machine-Learned Dynamical Systems	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity	3
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	3
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	3
Convergence of Weak-SINDy Surrogate Models	3
Les Canards de Turing	3
Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation	3
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Stabilization of Propagating Bubbles Using Control-Based Continuation	3
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	3
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	3
Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical System	3
Stability Analysis of the Immune System Induced by Chemotaxis	3
Balanced Dynamics in Strongly Coupled Networks	3

Circularization in the Damped Kepler Problem	3
Slow-fast Systems with Stochastic Resetting	3
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	3
Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections	3
A Theoretical Approach for Gait Generation of the CPG Controller by Using the Time-Delay Coupled Oscillators	3
Optimal Energy Shaping via Neural Approximators	3
Identifiability of Directed-Cycle and Catenary Linear Compartmental Models	3
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	3
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	3
Phase Synchronization in Random Geometric Graphs on the Two-Dimensional Sphere	3
Variationally Consistent Hamiltonian Model Reduction	3
From Opinion Polarization to Climate Action: A Social–Climate Model of the Opinion Spectrum	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	3
Proving Symmetry of Localized Solutions and Application to Dihedral Patterns in the Planar Swift–Hohenberg PDE	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	3
Periodic and Quasiperiodic Waves on the Sphere	2
Realizations Through Weakly Reversible Networks and the Globally Attracting Locus	2
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	2
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	2
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	2
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
Symmetric Periodic Solutions in the Generalized Sitnikov Problem with Homotopy Methods	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
Truncation of Contact Defects in Reaction-Diffusion Systems	2
Turing Instability of the Periodic Solutions for the Reaction-Diffusion System Involving Nonlocal Delays	2
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	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
Computer Assisted Discovery of Integrability via SILO: Sparse Identification of Lax Operators	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	2
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	2
An Extension of the Chemostat Model with Linear Coupling Between Species	2
Koopman Operator Inspired Nonlinear System Identification	2
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	2
Calculating Bifurcation Diagrams for Rational Differential Equation Systems Using the Resultant	2
Hovering Sets in Near Pseudo-Integrable Hamiltonian Impact Systems	2
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
On a Finite-Size Neuronal Population Equation	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Anticipating Bifurcations of Random Dynamical Systems through Tails of Stationary Densities	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
An Experimental and Theoretical Study of Euler’s Disk: Material Parameter Dependence and Motion after Falling Flat	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	2
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	2