SIAM Journal on Applied Dynamical Systems

Article	Citations
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions	39
Reconstruction of Network Dynamics from Partial Observations	39
Isolas in Nonlinear Fluid Networks	27
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation	23
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
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	14
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	14
Lane Formation and Aggregation Spots in a Model of Ants	14
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	12
Distributed Delay and Desynchronization in a Neural Mass Model	12
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	12
Walking Droplets as a Damped-Driven System	12
A Generalized Model of Flocking with Steering	11
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	11
Preserving Bifurcations through Moment Closures	11
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	11
Learning Theory for Dynamical Systems	11
Polynomial Propagation of Moments in Stochastic Differential Equations	11
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	10
A Bifurcation Lemma for Invariant Subspaces	10
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	10
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	10

Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	10
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics	9
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species	9
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems	9
Erratum: Abundance of Infinite Switching	9
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	9
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits	8
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections	8
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements	8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation	8
Bistability of an HIV Model with Immune Impairment	8
The Adaptive Spectral Koopman Method for Dynamical Systems	8
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter	8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum	8
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems	8
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems	7
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness	7
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems	7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows	7
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks	7
Max-Cut via Kuramoto-Type Oscillators	7
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies	7
Homeostasis Patterns	7
Variational Principles on Geometric Rough Paths and the Lévy Area Correction	7
Modeling and Control of Malaria Dynamics in Fish Farming Regions	7
Intraguild Predation Communities with Anti-predator Behavior	6
Propagation Reversal for Bistable Differential Equations on Trees	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
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation	6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
Stable Synchronous Propagation of Signals by Feedforward Networks	6
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps	6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes	6
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	6
Koopman Reduced-Order Modeling with Confidence Bounds	6
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	5
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	5
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	5
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	5
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	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
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	5
Bulk Topological States in a New Collective Dynamics Model	5
Bifurcation Analysis of a Modified Cardiac Cell Model	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
The Effects of Delay on the HKB Model of Human Motor Coordination	5
Testing Topological Conjugacy of Time Series	5
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	5
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	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
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	5
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach	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
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	4
A Massera-Type Theorem on Relative-Periodic Solutions for a Second-Order Model of Rectilinear Locomotion	4
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	4
Singular Dynamic Mode Decomposition	4
Kuramoto Networks with Infinitely Many Stable Equilibria	4
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family	4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories	4
Sensitivity Analysis for Time-Varying Ecological Networks	4
Stability Analysis of the Immune System Induced by Chemotaxis	3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	3
Anti-integrability for Three-Dimensional Quadratic Maps	3
Asynchronous Semianonymous Dynamics over Large-Scale Networks	3
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise	3
Synchronization in Temporal Simplicial Complexes	3
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects	3
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential	3
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions	3
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System	3
Most Probable Escape Paths in Perturbed Gradient Systems	3
Dynamics of Small Particle Inertial Migration in Curved Square Ducts	3
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach	3
Order and Disorder in a Cyclically Competitive Ecological Community	3
Multicluster Flocking in the Motsch–Tadmor Model	3
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems	3
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field	3
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance	3
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions	3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks	3
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems	3
Stochastic Energy-Balance Model With A Moving Ice Line	3
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis	3
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes	3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures	3
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	3
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment	3
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters	3
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach	2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs	2
Generalized Derivatives of Nonsmooth Discrete-Time Systems	2
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study	2
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	2
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	2
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds	2
Optimal Energy Shaping via Neural Approximators	2
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	2
The Asymptotic Frequency of Stochastic Oscillators	2
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems	2
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	2
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	2
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock	2
Data-Driven Continuation of Patterns and Their Bifurcations	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	2
Convergence of Weak-SINDy Surrogate Models	2
Periodic Oscillations in a \(2{N}\) -Body Problem	2
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	2
On the Stability of the Periodic Waves for the Benney System	2

High-Dimensional Cointegration and Kuramoto Inspired Systems	2
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution	2
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers	2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	2
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori	2
Spectral Submanifolds of the Navier–Stokes Equations	2
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	2
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices	2
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators	2
Circularization in the Damped Kepler Problem	2
Topological Entropy of Surface Braids and Maximally Efficient Mixing	2
Variationally Consistent Hamiltonian Model Reduction	2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	2
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates	2
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	1
Dynamics of Controllable Matter-Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross–Pitaevskii Equation with Temporally and Spatially Modulated Coefficients	1
Time Series Analysis and Modeling of the Freezing of Gait Phenomenon	1
Learning and Phase Tracking by Frequency and Weight Adaptation for Coupled Networks of Kuramoto Oscillators	1
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem	1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model	1
Regression-Based Projection for Learning Mori–Zwanzig Operators	1
Graphop Mean-Field Limits for Kuramoto-Type Models	1
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks	1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)	1
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics	1
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	1
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems	1
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	1
The Stability of the Multivariate Geometric Brownian Motion as a Bilinear Matrix Inequality Problem	1
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps	1
Computing Connection Matrices via Persistence-Like Reductions	1
Variance Bounds for a Class of Biochemical Birth/Death Like Processes via a Discrete Expansion and Spectral Properties of the Master Equation	1
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics	1
A Computational Approach to Polynomial Conservation Laws	1
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	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
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations	1
Pattern Formation in a Spiking Neural-Field of Renewal Neurons	1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems	1
Hausdorff Continuity of Region of Attraction Boundary Under Parameter Variation with Application to Disturbance Recovery	1
Periodic and Quasiperiodic Waves on the Sphere	1
Sequential Attractors in Combinatorial Threshold-Linear Networks	1
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator	1
Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework	1
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models	1
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator	1
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs	1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs	1
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models	1
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	1
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia	1
Rotating Rayleigh–Bénard Convection: Attractors, Bifurcations, and Heat Transport via a Galerkin Hierarchy	1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling	1
Truncation of Contact Defects in Reaction-Diffusion Systems	1
Impact of Intraspecific Competition of Predator on Coexistence of a Predator-Prey Model with Additive Predation on Prey	1
Limitations and Improvements of the Intelligent Driver Model (IDM)	1
Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation	1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games	1
Individual Molecules Dynamics in Reaction Network Models	1
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	1
Symmetry and Asymmetry in the $1+N$ Coorbital Problem	1
Periodic Waves of the Modified KdV Equation as Minimizers of a New Variational Problem	1
Extinctions Caused by Host-Range Expansion	1
Non-Markovian Models of Opinion Dynamics on Temporal Networks	1
A Nonlinear Map Describing Relaxation to Cluster States in an Adapting Neuronal Network	1
On a Finite-Size Neuronal Population Equation	1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs	1
Koopman Operator Inspired Nonlinear System Identification	1
Validated Spectral Stability via Conjugate Points	1
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems	1
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	1
Approximating Particle-Based Clustering Dynamics by Stochastic PDEs	1
Synchronized Memory-Dependent Intracellular Oscillations for a Cell-Bulk ODE-PDE Model in \(\boldsymbol {\mathbb {R}^2}\)	1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps	1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	1
Nonintegrability of the Axisymmetric Bianchi IX Cosmological Model via Differential Galois Theory	1
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	1
Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays	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