SIAM Journal on Applied Dynamical Systems

Papers
(The median citation count of SIAM Journal on Applied Dynamical Systems is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions38
Reconstruction of Network Dynamics from Partial Observations38
Isolas in Nonlinear Fluid Networks26
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems21
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients20
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems18
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems16
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability15
Lane Formation and Aggregation Spots in a Model of Ants14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons14
Stability of Periodic Traveling Waves to the Fifth-Order mKdV Equation14
Distributed Delay and Desynchronization in a Neural Mass Model12
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems11
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems11
Walking Droplets as a Damped-Driven System11
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment11
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods10
Learning Theory for Dynamical Systems10
A Generalized Model of Flocking with Steering10
Polynomial Propagation of Moments in Stochastic Differential Equations10
Preserving Bifurcations through Moment Closures10
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity9
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation9
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem9
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation9
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems9
A Bifurcation Lemma for Invariant Subspaces9
Erratum: Abundance of Infinite Switching9
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface9
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics8
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species8
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits8
The Adaptive Spectral Koopman Method for Dynamical Systems8
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum8
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections8
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems8
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements8
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation8
Modeling and Control of Malaria Dynamics in Fish Farming Regions7
Max-Cut via Kuramoto-Type Oscillators7
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies7
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness7
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems7
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems7
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter7
Variational Principles on Geometric Rough Paths and the Lévy Area Correction7
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows6
Bistability of an HIV Model with Immune Impairment6
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems6
The Effects of Delay on the HKB Model of Human Motor Coordination6
Propagation Reversal for Bistable Differential Equations on Trees6
Intraguild Predation Communities with Anti-predator Behavior6
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation6
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves6
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks6
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps6
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating6
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes6
Homeostasis Patterns6
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur5
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks5
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model5
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns5
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory5
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model5
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics5
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts5
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions5
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction5
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response5
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions5
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces5
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations5
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks5
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems5
Testing Topological Conjugacy of Time Series5
Stable Synchronous Propagation of Signals by Feedforward Networks5
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise5
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem5
Reduction of Chemical Reaction Networks with Approximate Conservation Laws5
Bulk Topological States in a New Collective Dynamics Model5
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family4
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status4
Bifurcation Analysis of a Modified Cardiac Cell Model4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics4
Singular Dynamic Mode Decomposition4
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs4
An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change4
Kuramoto Networks with Infinitely Many Stable Equilibria4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection4
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing4
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation4
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach4
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies4
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model4
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos4
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories4
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions3
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks3
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems3
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs3
Asynchronous Semianonymous Dynamics over Large-Scale Networks3
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures3
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field3
Multicluster Flocking in the Motsch–Tadmor Model3
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis3
Stochastic Energy-Balance Model With A Moving Ice Line3
Order and Disorder in a Cyclically Competitive Ecological Community3
Computer-Assisted Global Analysis for Vibro-impact Dynamics: A Reduced Smooth Maps Approach3
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise3
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects3
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations3
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment3
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential3
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System3
Dynamics of Small Particle Inertial Migration in Curved Square Ducts3
Anti-integrability for Three-Dimensional Quadratic Maps3
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes3
Synchronization in Temporal Simplicial Complexes3
Convergence of Markov Chains for Constant Step-Size Stochastic Gradient Descent with Separable Functions3
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance3
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters3
Modeling the Media Impact on the Medication Behavior of Drug-Sensitive Patients in Two-Strain Tuberculosis Transmission and a Case Study2
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers2
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators2
Adjoint-Based Projections for Quantifying Statistical Covariance near Stochastically Perturbed Limit Cycles and Tori2
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems2
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model2
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit2
Variationally Consistent Hamiltonian Model Reduction2
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators2
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions2
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility2
Stability Analysis of the Immune System Induced by Chemotaxis2
A Nonautonomous Equation Discovery Method for Time Signal Classification2
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds2
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs2
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics2
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws2
Spectral Submanifolds of the Navier–Stokes Equations2
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations2
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay2
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus2
Identifying Nonlinear Dynamics with High Confidence from Sparse Data2
The Asymptotic Frequency of Stochastic Oscillators2
Topological Entropy of Surface Braids and Maximally Efficient Mixing2
Nontangency-Based Lyapunov Tests for Convergence and Stability in Discrete-Time Systems2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation2
Convergence of Weak-SINDy Surrogate Models2
Data-Driven Continuation of Patterns and Their Bifurcations2
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit2
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System2
Circularization in the Damped Kepler Problem2
High-Dimensional Cointegration and Kuramoto Inspired Systems2
Optimal Energy Shaping via Neural Approximators2
Periodic Oscillations in a \(2{N}\) -Body Problem2
Most Probable Escape Paths in Perturbed Gradient Systems2
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay2
On the Stability of the Periodic Waves for the Benney System2
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs1
Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles1
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling1
Periodic and Quasiperiodic Waves on the Sphere1
Extinctions Caused by Host-Range Expansion1
Graphop Mean-Field Limits for Kuramoto-Type Models1
Synchronized Memory-Dependent Intracellular Oscillations for a Cell-Bulk ODE-PDE Model in \(\boldsymbol {\mathbb {R}^2}\)1
Low-Order Parametric State-Space Modeling of MIMO Systems in the Loewner Framework1
The Steady State Bifurcation for General Network-Organized Reaction-Diffusion Systems and Its Application in a Metapopulation Epidemic Model1
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations1
Closed Geodesics on Weingarten Surfaces with \(\boldsymbol{\kappa_1/\kappa_2 = \textbf{c} \gt 0}\)1
Hopf Bifurcations of Two Population Neural Fields on the Sphere with Diffusion and Distributed Delays1
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems1
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach1
Entropy Bounds for Glass Networks1
A New Path Method for Exponential Ergodicity of Markov Processes on \({{\mathbb Z^{d}}}\), with Applications to Stochastic Reaction Networks1
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations1
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates1
Regression-Based Projection for Learning Mori–Zwanzig Operators1
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock1
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia1
Limitations and Improvements of the Intelligent Driver Model (IDM)1
Multistability Induced by Higher-Order Self-Dynamics in Kuramoto-Type System and Its Perspective in Voting Dynamics1
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model1
Non-Markovian Models of Opinion Dynamics on Temporal Networks1
Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems1
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems1
Rotating Rayleigh–Bénard Convection: Attractors, Bifurcations, and Heat Transport via a Galerkin Hierarchy1
Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics1
Computing Connection Matrices via Persistence-Like Reductions1
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs1
Variance Bounds for a Class of Biochemical Birth/Death Like Processes via a Discrete Expansion and Spectral Properties of the Master Equation1
Dynamical Organization of Recollisions by a Family of Invariant Tori1
A Computational Approach to Polynomial Conservation Laws1
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics1
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps1
Nonintegrability of the Axisymmetric Bianchi IX Cosmological Model via Differential Galois Theory1
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models1
Validated Spectral Stability via Conjugate Points1
On a Finite-Size Neuronal Population Equation1
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution1
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices1
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation1
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games1
Time Series Analysis and Modeling of the Freezing of Gait Phenomenon1
Koopman Operator Inspired Nonlinear System Identification1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps1
A Nonlinear Map Describing Relaxation to Cluster States in an Adapting Neuronal Network1
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling1
Symmetry and Asymmetry in the $1+N$ Coorbital Problem1
Truncation of Contact Defects in Reaction-Diffusion Systems1
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models1
Impact of Intraspecific Competition of Predator on Coexistence of a Predator-Prey Model with Additive Predation on Prey1
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability1
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs1
Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation1
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics1
The Stability of the Multivariate Geometric Brownian Motion as a Bilinear Matrix Inequality Problem1
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem1
Approximating Particle-Based Clustering Dynamics by Stochastic PDEs1
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator1
Generalized Derivatives of Nonsmooth Discrete-Time Systems1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds1
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