SIAM Journal on Applied Dynamical Systems

Article	Citations
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay	31
Koopman Operator Inspired Nonlinear System Identification	29
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients	22
A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets	20
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model	16
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure	14
Lane Formation and Aggregation Spots in a Model of Ants	13
Contrasting Chaotic and Stochastic Forcing: Tipping Windows and Attractor Crises	13
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise	12
Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map	11
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model	10
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility	8
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay	8
Circularization in the Damped Kepler Problem	8
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response	8
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems	8
Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling	8
Stable Synchronous Propagation of Signals by Feedforward Networks	8
Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems	8
Periodic Oscillations in a \(2{N}\) -Body Problem	7
Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows	7
Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy	7
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems	7
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability	7
Uncertainty Propagation for General Stochastic Hybrid Systems on Compact Lie Groups	7

Topological Entropy of Surface Braids and Maximally Efficient Mixing	7
Periodic and Quasiperiodic Waves on the Sphere	6
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	6
Double-Hopf Bifurcation and Bistable Asynchronous Periodic Orbits for the Memory-Based Diffusion System	6
Isolas in Nonlinear Fluid Networks	6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves	6
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems	6
The Asymptotic Frequency of Stochastic Oscillators	6
Continuation of Fixed Points and Bifurcations from ODE to Flow-Kick Disturbance Models	5
A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations	5
Dynamical Analysis and Optimization of a Generalized Resource Allocation Model of Microbial Growth	5
Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities	5
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation	5
Towards Understanding the Endemic Behavior of a Competitive Tri-virus SIS Networked Model	5
Reconstruction of Network Dynamics from Partial Observations	5
Emergent Behaviors of Rotation Matrix Flocks	5
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation	5
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus	4
Optimal Energy Shaping via Neural Approximators	4
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations	4
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations	4
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation	4
A Mathematical Model of the Visual MacKay Effect	4
Identifying Nonlinear Dynamics with High Confidence from Sparse Data	4
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions	4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection	4
Polynomial Propagation of Moments in Stochastic Differential Equations	4
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling	4
The Effects of Delay on the HKB Model of Human Motor Coordination	4
On the Existence of Generalized Breathers and Transition Fronts in Time-Periodic Nonlinear Lattices	4
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model	4
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations	4
Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation	3
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model	3
A Graph-Theoretic Condition for Delay Stability of Reaction Systems	3
Walking Droplets as a Damped-Driven System	3
Dynamical Organization of Recollisions by a Family of Invariant Tori	3
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems	3
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment	3
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts	3
Flocks with Nonlinear Inherent Dynamics under Fixed and Switching Digraphs	3
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions	3
Spatial Near-Elliptical Symmetric Periodic Orbits of Perturbed Kepler Problems: From Existence to Stability	3
Reduction of Chemical Reaction Networks with Approximate Conservation Laws	3
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks	3
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System	3
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces	3
Bifurcation Analysis of a Modified Cardiac Cell Model	3
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations	3

Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability	3
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks	3
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions	3
Continuation with Noninvasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario	3
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns	3
Analysis of a Dynamical System Modeling Lasers and Applications for Optical Neural Networks	3
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds	3
A Nonautonomous Equation Discovery Method for Time Signal Classification	2
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem	2
Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations	2
Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework	2
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos	2
Convergence of Weak-SINDy Surrogate Models	2
Distributed Delay and Desynchronization in a Neural Mass Model	2
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems	2
Queues with Delayed Information: A Dynamical Systems Perspective	2
Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori	2
Computing Connection Matrices via Persistence-Like Reductions	2
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems	2
Variationally Consistent Hamiltonian Model Reduction	2
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory	2
Kuramoto Networks with Infinitely Many Stable Equilibria	2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus	2
Singular Dynamic Mode Decomposition	2
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods	2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model	2
On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical Study	2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit	2
Truncation of Contact Defects in Reaction-Diffusion Systems	2
Connecting Anti-integrability to Attractors for Three-Dimensional Quadratic Diffeomorphisms	2
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics	2
High-Dimensional Cointegration and Kuramoto Inspired Systems	2
Testing Topological Conjugacy of Time Series	2
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics	2
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles	2
Limitations and Improvements of the Intelligent Driver Model (IDM)	2
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems	2
Level Set Learning for Poincaré Plots of Symplectic Maps	2
Spectral Submanifolds of the Navier–Stokes Equations	2
Bulk Topological States in a New Collective Dynamics Model	2
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons	2
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur	2
Centrality-Based Traffic Restriction in Delayed Epidemic Networks	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
Studying Ballistic Aggregation Phenomena through Efficient Time Stepping Approaches	1
A Bifurcation Lemma for Invariant Subspaces	1
Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights beyond the Pseudo-Hopf Bifurcation	1
Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory	1
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models	1
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation	1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs	1
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status	1
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs	1
Absolute Stability and Synchronization in Second-Order Neural Fields with Conduction Delays	1
Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge, and Reaction-Diffusion PDEs	1
Learning Theory for Dynamical Systems	1
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators	1
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation	1
The Adaptive Spectral Koopman Method for Dynamical Systems	1
Reactivity, Attenuation, and Transients in Metapopulations	1
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	1
Qualitative Behavior of a Metabolic Pathway with Hybrid Feedback	1
Spreading and Structural Balance on Signed Networks	1
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems	1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model	1
Extinctions Caused by Host-Range Expansion	1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games	1
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems	1
Complete and Partial Synchronization of Two-Group and Three-Group Kuramoto Oscillators	1
Solving Nonlinear Ordinary Differential Equations Using the Invariant Manifolds and Koopman Eigenfunctions	1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)	1
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation	1
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws	1
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator	1
Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods	1
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies	1
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations	1
Efficient Evader Detection in Mobile Sensor Networks	1
The Nucleation-Annihilation Dynamics of Hotspot Patterns for a Reaction-Diffusion System of Urban Crime with Police Deployment	1

Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph	1
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs	1
Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method	1
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity	1
Small-Noise-Induced Metastable Transition of Periodically Perturbed Systems	1
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics	1
Non-Markovian Models of Opinion Dynamics on Temporal Networks	1
A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces	1
Preserving Bifurcations through Moment Closures	1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps	1
Shadowing-Based Data Assimilation Method for Partially Observed Models	1
Weighted Birkhoff Averages and the Parameterization Method	1
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface	1
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics	1
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing	1
Identifiability of Chemical Reaction Networks with Intrinsic and Extrinsic Noise from Stationary Distributions	1
Symmetry and Asymmetry in the $1+N$ Coorbital Problem	1
A Generalized Model of Flocking with Steering	1
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit	1
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem	1
Erratum: Abundance of Infinite Switching	1