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 2021-05-01 to 2025-05-01.)
ArticleCitations
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems31
Hopf Bifurcations of Reaction Networks with Zero-One Stoichiometric Coefficients30
Near Tangent Dynamics in a Class of Hamiltonian Impact Systems23
Reconstruction of Network Dynamics from Partial Observations20
Lane Formation and Aggregation Spots in a Model of Ants16
A Logic-Incorporated “Minimal” Tristable Regulatory Network Explains Fundamental Cell Fate Decisions16
Isolas in Nonlinear Fluid Networks14
The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability14
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons13
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems13
Distributed Delay and Desynchronization in a Neural Mass Model11
Polynomial Propagation of Moments in Stochastic Differential Equations11
Walking Droplets as a Damped-Driven System10
Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems9
Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems9
Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment9
A Bifurcation Lemma for Invariant Subspaces8
Preserving Bifurcations through Moment Closures8
On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface8
A Generalized Model of Flocking with Steering8
Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems8
Learning Theory for Dynamical Systems8
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods8
Dictionary-Free Koopman Model Predictive Control with Nonlinear Input Transformation7
Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity7
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems7
Poisson Structure and Reduction by Stages of the Full Gravitational $N$-Body Problem7
Traveling Waves and Exponential Nonlinearities in the Zeldovich–Frank-Kamenetskii Equation7
Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species7
Erratum: Abundance of Infinite Switching7
Data-Driven Discovery of Governing Equations for Coarse-Grained Heterogeneous Network Dynamics7
The Adaptive Spectral Koopman Method for Dynamical Systems6
Max-Cut via Kuramoto-Type Oscillators6
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies6
Splitting of Separatrices for Rapid Degenerate Perturbations of the Classical Pendulum6
On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems6
Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter6
Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements6
Modeling and Control of Malaria Dynamics in Fish Farming Regions6
Variational Principles on Geometric Rough Paths and the Lévy Area Correction6
Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation6
Wave Reflections in Excitable Media Linked to Existence and Stability of One-Dimensional Spiral Waves5
Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits5
Koopman Linear Quadratic Regulator Using Complex Eigenfunctions for Nonlinear Dynamical Systems5
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps5
Intraguild Predation Communities with Anti-predator Behavior5
Propagation Reversal for Bistable Differential Equations on Trees5
The Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau Equation5
Extracting Koopman Operators for Prediction and Control of Nonlinear Dynamics Using Two-Stage Learning and Oblique Projections5
An Algebraic Approach to Product-form Stationary Distributions for Some Reaction Networks5
Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness5
Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems5
Homeostasis Patterns5
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes5
Bistability of an HIV Model with Immune Impairment5
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows5
Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems5
Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating5
Existence and Emergent Dynamics of Quadratically Separable States to the Lohe Tensor Model4
Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise4
Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection4
Testing Topological Conjugacy of Time Series4
Nonuniqueness Phenomena in Discontinuous Dynamical Systems and Their Regularizations4
Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction4
Neuron Scale Modeling of Prion Production with the Unfolded Protein Response4
Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model4
Extinction of Multiple Populations and a Team of Die-Out Lyapunov Functions4
Bifurcation Analysis of a Modified Cardiac Cell Model4
Almost Sure Averaging for Evolution Equations Driven by Fractional Brownian Motions4
The Effects of Delay on the HKB Model of Human Motor Coordination4
Stable Synchronous Propagation of Signals by Feedforward Networks4
Bulk Topological States in a New Collective Dynamics Model4
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces4
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics3
Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts3
\(\textbf{(}\boldsymbol{\mathbb{R}}^{\textbf{3}} \boldsymbol{\times } \boldsymbol{SO(3)} \boldsymbol{\times } \boldsymbol{\mathbb{T}}^{\textbf{6}}\textbf{)}\)-Reduction, Relative Equilibria, and Bifur3
Quantifying Different Modeling Frameworks Using Topological Data Analysis: A Case Study with Zebrafish Patterns3
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures3
Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks3
An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change3
Intensity---A Metric Approach to Quantifying Attractor Robustness in ODEs3
Global Dynamics of Piecewise Smooth Systems with Switches Depending on Both Discrete Times and Status3
Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem3
Reduction of Chemical Reaction Networks with Approximate Conservation Laws3
Analysis of Equilibria and Connecting Orbits in a Nonlinear Viral Infection Model3
Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems3
Symplectic Methods in the Numerical Search of Orbits in Real-Life Planetary Systems3
Connected McMullen-Like Julia Sets in a Chebyshev–Halley Family3
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks3
Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos3
Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing3
Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory3
Singular Dynamic Mode Decomposition3
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics3
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov–Takens Bifurcation3
Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies3
Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen–Cahn Approach3
Kuramoto Networks with Infinitely Many Stable Equilibria3
Learning Bilinear Models of Actuated Koopman Generators from Partially Observed Trajectories2
On the Stability of the Periodic Waves for the Benney System2
An Optimized Dynamic Mode Decomposition Model Robust to Multiplicative Noise2
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay2
The Asymptotic Frequency of Stochastic Oscillators2
Stability Analysis of the Immune System Induced by Chemotaxis2
A Mathematical Model of Whole-Body Potassium Regulation: Global Parameter Sensitivity Analysis2
Order and Disorder in a Cyclically Competitive Ecological Community2
Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes2
Geometric Singular Perturbation Analysis of the Multiple-Timescale Hodgkin–Huxley Equations2
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field2
Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects2
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions2
Epidemic Thresholds and Disease Dynamics in Metapopulations: The Role of Network Structure and Human Mobility2
Topological Entropy of Surface Braids and Maximally Efficient Mixing2
Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay2
Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks2
Erratum: A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs2
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems2
Anti-integrability for Three-Dimensional Quadratic Maps2
Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential2
Noninvasive Adaptive Control of a Class of Nonlinear Systems with Unknown Parameters2
Stochastic Energy-Balance Model With A Moving Ice Line2
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation2
Circularization in the Damped Kepler Problem2
Periodic Oscillations in a \(2{N}\) -Body Problem2
Identifying Nonlinear Dynamics with High Confidence from Sparse Data2
Dynamics of Small Particle Inertial Migration in Curved Square Ducts2
Synchronization in Temporal Simplicial Complexes2
Snakes, Ladders, and Breathers: Organization of Localized Patterns in Reaction-Diffusion Systems2
Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System2
Asynchronous Semianonymous Dynamics over Large-Scale Networks2
Hawkes Process Modelling for Chemical Reaction Networks in a Random Environment2
Degeneracy in Negative Feedback (NFBL) and Incoherent Feedforward (IFFL) Loops: Adaptation and Resonance2
Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit1
Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability1
The Rocking Can: A Reduced Equation of Motion and a Matched Asymptotic Solution1
Limitations and Improvements of the Intelligent Driver Model (IDM)1
Bounded-Confidence Models of Opinion Dynamics with Adaptive Confidence Bounds1
Deterministic and Stochastic Surrogate Models for a Slowly Driven Fast Oscillator1
On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs1
Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions1
Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System1
Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps1
A Nonautonomous Equation Discovery Method for Time Signal Classification1
A Dynamic Mode Decomposition Extension for the Forecasting of Parametric Dynamical Systems1
Optimal Energy Shaping via Neural Approximators1
Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation1
Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models1
Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps1
Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling1
Sustainability or Societal Collapse: Dynamics and Bifurcations of the HANDY Model1
Forward Attraction of Nonautonomous Dynamical Systems and Applications to Navier–Stokes Equations1
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock1
Computing Connection Matrices via Persistence-Like Reductions1
Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices1
A Mean-Field Firing-Rate Model for the Suprachiasmatic Nucleus1
Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem1
Koopman Operator Inspired Nonlinear System Identification1
Spectral Submanifolds of the Navier–Stokes Equations1
Adapting InfoMap to Absorbing Random Walks Using Absorption-Scaled Graphs1
Lévy Areas, Wong–Zakai Anomalies in Diffusive Limits of Deterministic Lagrangian Multitime Dynamics1
Deep Linear Networks for Matrix Completion—an Infinite Depth Limit1
Variationally Consistent Hamiltonian Model Reduction1
Internal Noise Interference to Warnings of Tipping Points in Generic Multidimensional Dynamical Systems1
Asymptotic Behavior of Fronts and Pulses of the Bidomain Model1
A Geometric Approach for Analyzing Parametric Biological Systems by Exploiting Block Triangular Structure1
Regression-Based Projection for Learning Mori–Zwanzig Operators1
Periodic and Quasiperiodic Waves on the Sphere1
Guarantees for Spontaneous Synchronization on Random Geometric Graphs1
A Discrete Weak KAM Method for First-Order Stationary Mean Field Games1
Non-Markovian Models of Opinion Dynamics on Temporal Networks1
Emergence of Polarization in a Sigmoidal Bounded-Confidence Model of Opinion Dynamics1
Population Dynamics in Networks of Izhikevich Neurons with Global Delayed Coupling1
Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach1
Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation1
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators1
Hyperdissipative Navier–Stokes Equations Driven by Time-Dependent Forces: Invariant Manifolds1
Mitigating Model Error via a Multimodel Method and Application to Tropical Intraseasonal Oscillations1
Rotating Waves of Nonlocally Coupled Oscillators on the Annulus1
Dynamical Organization of Recollisions by a Family of Invariant Tori1
Convergence of Weak-SINDy Surrogate Models1
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws1
Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia1
High-Dimensional Cointegration and Kuramoto Inspired Systems1
On a Finite-Size Neuronal Population Equation1
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators1
Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model1
Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems1
Evolution of Dispersal in Advective Patchy Environments with Varying Drift Rates1
Extinctions Caused by Host-Range Expansion1
Data-Driven Model Reduction via Non-intrusive Optimization of Projection Operators and Reduced-Order Dynamics1
On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers1
Truncation of Contact Defects in Reaction-Diffusion Systems1
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