SIAM Journal on Applied Dynamical Systems

Article	Citations
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	48
Reconstruction of Network Dynamics from Partial Observations	41
Isolas in Nonlinear Fluid Networks	28
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	28
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	22
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	20
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	18
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	17
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	16
Distributed Delay and Desynchronization in a Neural Mass Model	15
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	15
Lane Formation and Aggregation Spots in a Model of Ants	15
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	14
Polynomial Propagation of Moments in Stochastic Differential Equations	14
Walking Droplets as a Damped-Driven System	13
A Generalized Model of Flocking with Steering	13
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	13
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	13
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	13
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	12
A Bifurcation Lemma for Invariant Subspaces	12
Learning Theory for Dynamical Systems	12
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	11
Bifurcation Analysis of a Size-Structured Population Model: Application to Oocyte Dynamics and Ovarian Cycle	11
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	11

Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	11
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	10
Preserving Bifurcations through Moment Closures	10
Erratum: Abundance of Infinite Switching	10
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	10
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	9
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	9
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	9
Bistability of an HIV Model with Immune Impairment	9
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	9
The Adaptive Spectral Koopman Method for Dynamical Systems	9
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	9
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	9
Modeling and Control of Malaria Dynamics in Fish Farming Regions	9
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	8
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	8
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	8
Propagation Reversal for Bistable Differential Equations on Trees	7
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	7
Tagged Barcodes for the Topological Analysis of Gradient-Like Vector Fields	7
Homeostasis Patterns	7
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	7
Max-Cut via Kuramoto-Type Oscillators	7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	7
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	7
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	7
Boundary Equilibrium Bifurcations Creating Multiple Limit Cycles in Impacting Hybrid Systems	7
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	7
Stable Synchronous Propagation of Signals by Feedforward Networks	6
The Effects of Delay on the HKB Model of Human Motor Coordination	6
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	6
Koopman Reduced-Order Modeling with Confidence Bounds	6
Testing Topological Conjugacy of Time Series	6
Bifurcation Analysis of a Modified Cardiac Cell Model	6
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	6
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	6
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	6
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Intraguild Predation Communities with Anti-predator Behavior	6
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	6
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	6
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	6
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	6

Bifurcations of Synchronized Solutions in a Continuum Limit of the Kuramoto Model with Two-Mode Interaction Depending on Two Graphs	5
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Sensitivity Analysis for Time-Varying Ecological Networks	5
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Bulk Topological States in a New Collective Dynamics Model	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	5
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	4
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	4
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	4
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
Singular Dynamic Mode Decomposition	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	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
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	4
Traveling Waves and Propagation Dynamics of Competitive Systems in a Road-Field Environment with Climate Change	3
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	3
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	3
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	3
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	3
Stability Analysis of the Immune System Induced by Chemotaxis	3
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	3
The Asymptotic Frequency of Stochastic Oscillators	3
Periodic Oscillations in a \(2{N}\) -Body Problem	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	3
Anti-integrability for Three-Dimensional Quadratic Maps	3
Multicluster Flocking in the Motsch–Tadmor Model	3
Stochastic Energy-Balance Model With A Moving Ice Line	3
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	3
Asynchronous Semianonymous Dynamics over Large-Scale Networks	3
Order and Disorder in a Cyclically Competitive Ecological Community	3
Pattern Localization in the Swift–Hohenberg Equation via Slowly Varying Spatial Heterogeneity	3
On the Stability of the Periodic Waves for the Benney System	3
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	3
Topological Entropy of Surface Braids and Maximally Efficient Mixing	3
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	3
Synchronization in Temporal Simplicial Complexes	3
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	3
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	3
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	3
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	3
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	3
Circularization in the Damped Kepler Problem	3
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	3
Slow-fast Systems with Stochastic Resetting	2
Optimal Energy Shaping via Neural Approximators	2
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	2
Solitary Waves in a Stochastic Parametrically Forced Nonlinear Schrödinger Equation	2
Variationally Consistent Hamiltonian Model Reduction	2
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	2
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	2
On a Finite-Size Neuronal Population Equation	2

High-Dimensional Cointegration and Kuramoto Inspired Systems	2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Point Cloud Continuation: Extracting Manifolds from Observations of a Dynamical System	2
Les Canards de Turing	2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	2
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	2
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	2
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	2
Regression-Based Projection for Learning Mori–Zwanzig Operators	2
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	2
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Convergence of Weak-SINDy Surrogate Models	2
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
Spectral Submanifolds of the Navier–Stokes Equations	2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	2
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)	1
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	1
Validated Spectral Stability via Conjugate Points	1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling	1
Time Series Analysis and Modeling of the Freezing of Gait Phenomenon	1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems	1
Truncation of Contact Defects in Reaction-Diffusion Systems	1
Sequential Attractors in Combinatorial Threshold-Linear Networks	1
Computing Connection Matrices via Persistence-Like Reductions	1
Pattern Formation in a Spiking Neural-Field of Renewal Neurons	1
Limitations and Improvements of the Intelligent Driver Model (IDM)	1
Entropy Bounds for Glass Networks	1
Multistability Induced by Higher-Order Self-Dynamics in Kuramoto-Type System and Its Perspective in Voting Dynamics	1
Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays	1
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model	1
Turing Instability of the Periodic Solutions for the Reaction-Diffusion System Involving Nonlocal Delays	1
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations	1
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	1
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator	1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	1
Spike-adding Mechanisms in a Three-timescale System: Insights from the Fitzhugh–Nagumo Model with Periodic Forcing	1
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	1
A Nonlinear Map Describing Relaxation to Cluster States in an Adapting Neuronal Network	1
Dynamical Organization of Recollisions by a Family of Invariant Tori	1
Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics	1
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	1
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs	1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps	1
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem	1
Non-Markovian Models of Opinion Dynamics on Temporal Networks	1
Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation	1
Toward Finiteness of Central Configurations for the Planar Six-Body Problem by Symbolic Computations. (II) Determine Mass Relations	1
Nonintegrability of the Axisymmetric Bianchi IX Cosmological Model via Differential Galois Theory	1
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	1
Graphop Mean-Field Limits for Kuramoto-Type Models	1
Koopman Operator Inspired Nonlinear System Identification	1
The Stability of the Multivariate Geometric Brownian Motion as a Bilinear Matrix Inequality Problem	1
Periodic and Quasiperiodic Waves on the Sphere	1
Rotating Rayleigh–Bénard Convection: Attractors, Bifurcations, and Heat Transport via a Galerkin Hierarchy	1
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	1
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models	1
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	1
Symmetry and Asymmetry in the $1+N$ Coorbital Problem	1
Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework	1
Approximating Particle-Based Clustering Dynamics by Stochastic PDEs	1
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	1
Impact of Intraspecific Competition of Predator on Coexistence of a Predator-Prey Model with Additive Predation on Prey	1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	1
Dynamics of Controllable Matter-Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross–Pitaevskii Equation with Temporally and Spatially Modulated Coefficients	1
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics	1
Variance Bounds for a Class of Biochemical Birth/Death Like Processes via a Discrete Expansion and Spectral Properties of the Master Equation	1
Extinctions Caused by Host-Range Expansion	1
A Computational Approach to Polynomial Conservation Laws	1
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	1
Savanna Dynamics with Grazing, Browsing, and Migration Effects	1
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	1
Individual Molecules Dynamics in Reaction Network Models	1
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games	1