SIAM Journal on Applied Dynamical Systems

Article	Citations
Reconstruction of Network Dynamics from Partial Observations	33
Lane Formation and Aggregation Spots in a Model of Ants	31
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	24
Isolas in Nonlinear Fluid Networks	21
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	18
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	16
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	14
Distributed Delay and Desynchronization in a Neural Mass Model	14
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	14
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	14
Walking Droplets as a Damped-Driven System	12
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	11
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	11
Polynomial Propagation of Moments in Stochastic Differential Equations	10
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	10
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	10
A Generalized Model of Flocking with Steering	9
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	9
A Bifurcation Lemma for Invariant Subspaces	9
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	9
Preserving Bifurcations through Moment Closures	9
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	9
Learning Theory for Dynamical Systems	8
Erratum: Abundance of Infinite Switching	8

Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	8
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	8
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	8
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	8
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	7
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	7
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	7
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	7
The Adaptive Spectral Koopman Method for Dynamical Systems	7
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	7
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	7
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	7
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	7
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	6
Modeling and Control of Malaria Dynamics in Fish Farming Regions	6
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	6
Bistability of an HIV Model with Immune Impairment	6
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	6
Max-Cut via Kuramoto-Type Oscillators	6
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	6
Intraguild Predation Communities with Anti-predator Behavior	6
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	6
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	6
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	6
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	6
Propagation Reversal for Bistable Differential Equations on Trees	6
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	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
Testing Topological Conjugacy of Time Series	5
Stable Synchronous Propagation of Signals by Feedforward Networks	5
The Effects of Delay on the HKB Model of Human Motor Coordination	5
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	5
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	5
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	5
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	5
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems	5
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	5
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	5
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	5
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	5
Homeostasis Patterns	5
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	5
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	4
Bulk Topological States in a New Collective Dynamics Model	4

Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	4
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	4
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	4
Bifurcation Analysis of a Modified Cardiac Cell Model	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	4
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	4
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	4
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	4
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	4
Singular Dynamic Mode Decomposition	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	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	3
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	3
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	3
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	3
Synchronization in Temporal Simplicial Complexes	3
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	3
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	3
Anti-integrability for Three-Dimensional Quadratic Maps	3
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	3
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	3
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	3
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	3
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	3
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	3
Asynchronous Semianonymous Dynamics over Large-Scale Networks	3
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	3
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	3
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	3
Kuramoto Networks with Infinitely Many Stable Equilibria	3
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	3
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	3
Stochastic Energy-Balance Model With A Moving Ice Line	3
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	3
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	3
Most Probable Escape Paths in Perturbed Gradient Systems	2
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	2
On the Stability of the Periodic Waves for the Benney System	2
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	2
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	2
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	2
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	2
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	2
Stability Analysis of the Immune System Induced by Chemotaxis	2
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	2
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	2
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	2
Periodic Oscillations in a \(2{N}\) -Body Problem	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	2
High-Dimensional Cointegration and Kuramoto Inspired Systems	2
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Convergence of Weak-SINDy Surrogate Models	2
The Asymptotic Frequency of Stochastic Oscillators	2
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	2
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	2
Optimal Energy Shaping via Neural Approximators	2
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	2
Order and Disorder in a Cyclically Competitive Ecological Community	2
Circularization in the Damped Kepler Problem	2
Spectral Submanifolds of the Navier–Stokes Equations	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
Variationally Consistent Hamiltonian Model Reduction	2
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	2
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	2
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	2
Topological Entropy of Surface Braids and Maximally Efficient Mixing	2
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	1
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations	1
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	1
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	1

Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics	1
Computing Connection Matrices via Persistence-Like Reductions	1
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model	1
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models	1
Koopman Operator Inspired Nonlinear System Identification	1
Validated Spectral Stability via Conjugate Points	1
The Stability of the Multivariate Geometric Brownian Motion as a Bilinear Matrix Inequality Problem	1
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	1
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	1
On a Finite-Size Neuronal Population Equation	1
Synchronized Memory-Dependent Intracellular Oscillations for a Cell-Bulk ODE-PDE Model in \(\boldsymbol {\mathbb {R}^2}\)	1
Dynamical Organization of Recollisions by a Family of Invariant Tori	1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games	1
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	1
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	1
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	1
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	1
Regression-Based Projection for Learning Mori–Zwanzig Operators	1
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems	1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	1
Graphop Mean-Field Limits for Kuramoto-Type Models	1
Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework	1
Periodic and Quasiperiodic Waves on the Sphere	1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling	1
Rotating Rayleigh–Bénard Convection: Attractors, Bifurcations, and Heat Transport via a Galerkin Hierarchy	1
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)	1
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator	1
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	1
Multistability Induced by Higher-Order Self-Dynamics in Kuramoto-Type System and Its Perspective in Voting Dynamics	1
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	1
Limitations and Improvements of the Intelligent Driver Model (IDM)	1
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	1
Non-Markovian Models of Opinion Dynamics on Temporal Networks	1
Data-Driven Continuation of Patterns and Their Bifurcations	1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps	1
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	1
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	1
Symmetry and Asymmetry in the $1+N$ Coorbital Problem	1
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	1
A Nonlinear Map Describing Relaxation to Cluster States in an Adapting Neuronal Network	1
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	1
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	1
Nonintegrability of the Axisymmetric Bianchi IX Cosmological Model via Differential Galois Theory	1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs	1
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	1
Time Series Analysis and Modeling of the Freezing of Gait Phenomenon	1
Approximating Particle-Based Clustering Dynamics by Stochastic PDEs	1
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	1
Truncation of Contact Defects in Reaction-Diffusion Systems	1
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	1
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics	1
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	1
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	1
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	1
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	1
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	1
Extinctions Caused by Host-Range Expansion	1
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	1
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	1