Journal of Dynamics and Differential Equations

Papers
(The TQCC of Journal of Dynamics and Differential Equations is 2. 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 2020-05-01 to 2024-05-01.)
ArticleCitations
Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems32
Stability and Double-Hopf Bifurcations of a Gause–Kolmogorov-Type Predator–Prey System with Indirect Prey-Taxis26
Dynamics of Classical Poisson–Nernst–Planck Systems with Multiple Cations and Boundary Layers22
Global Dynamics of a Susceptible-Infectious-Recovered Epidemic Model with a Generalized Nonmonotone Incidence Rate20
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems18
Permanence, Extinction and Periodicity to a Stochastic Competitive Model with Infinite Distributed Delays16
Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates15
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model15
Strong Instability of Standing Waves for the Nonlinear Schrödinger Equation in Trapped Dipolar Quantum Gases14
Age-Structured Population Dynamics with Nonlocal Diffusion13
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay13
On a Stochastic Camassa–Holm Type Equation with Higher Order Nonlinearities13
Local and Global Analysis for Discontinuous Atmospheric Ekman Equations13
A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems12
Propagation Direction of the Traveling Wave for the Lotka–Volterra Competitive Lattice System11
Equicontinuity and Sensitivity in Mean Forms11
Double Hopf Bifurcation Analysis in the Memory-based Diffusion System11
Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems11
Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems10
The Kinetic Space of Multistationarity in Dual Phosphorylation10
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity9
Longtime Dynamics of a Semilinear Lamé System9
Lattice Structures for Attractors III8
Local Well Posedness of the Euler–Korteweg Equations on $${{\mathbb {T}}^d}$$8
Hausdorff Sub-norm Spaces and Continuity of Random Attractors for Bi-stochastic g-Navier–Stokes Equations with Respect to Tempered Forces8
Global Continuation of Periodic Oscillations to a Diapause Rhythm8
Limiting Solutions of Nonlocal Dispersal Problem in Inhomogeneous Media8
Wave Breaking Phenomena for the Fornberg–Whitham Equation8
Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone7
Nonlinear Young Differential Equations: A Review7
Oscillations in Planar Deficiency-One Mass-Action Systems7
Long-Time Existence for Semi-linear Beam Equations on Irrational Tori7
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws7
Large Time Behavior of Deterministic and Stochastic 3D Convective Brinkman-Forchheimer Equations in Periodic Domains7
Delta Shock Wave Solution of the Riemann Problem for the Non-homogeneous Modified Chaplygin Gasdynamics7
Unfolding a Bykov Attractor: From an Attracting Torus to Strange Attractors7
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional6
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect6
Propagation Phenomena for a Nonlocal Dispersal Lotka–Volterra Competition Model in Shifting Habitats6
Stability for Nonautonomous Linear Differential Systems with Infinite Delay6
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition6
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate6
Global Dynamics and Asymptotic Spreading Speeds for a Partially Degenerate Epidemic Model with Time Delay and Free Boundaries6
Asymptotic Behavior of Non-autonomous Fractional Stochastic p-Laplacian Equations with Delay on $$\mathbb {R}^n$$6
Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities5
On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model5
On the Global Existence for the Kuramoto-Sivashinsky Equation5
Hyperbolic Quasilinear Navier–Stokes Equations in $${\mathbb {R}}^2$$5
Kwak Transform and Inertial Manifolds revisited5
Periodic Waves in the Fractional Modified Korteweg–de Vries Equation5
Pullback Attractors for Stochastic Young Differential Delay Equations5
Propagation Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment5
Spatial-Temporal Dynamics of a Diffusive Lotka–Volterra Competition Model with a Shifting Habitat II: Case of Faster Diffuser Being a Weaker Competitor5
Dynamics Complexity of Generalist Predatory Mite and the Leafhopper Pest in Tea Plantations5
On Well-Posedness and Concentration of Blow-Up Solutions for the Intercritical Inhomogeneous NLS Equation5
Limiting Dynamics for Stochastic FitzHugh–Nagumo Lattice Systems in Weighted Spaces5
Small Mass Nanopteron Traveling Waves in Mass-in-Mass Lattices with Cubic FPUT Potential5
Multiscale Conditional Shadowing5
Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing Either a Cusp Point or Two Finite Saddle-Nodes5
Topological Pressure of Free Semigroup Actions For Non-Compact Sets and Bowen’s Equation, II4
Piecewise Continuous Almost Automorphic Functions and Favard’s Theorems for Impulsive Differential Equations in Honor of Russell Johnson4
Invariant Curves of Almost Periodic Twist Mappings4
Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering4
The Problem of Generalized D-Stability in Unbounded LMI Regions and Its Computational Aspects4
A Rigorous Implicit $$C^1$$ Chebyshev Integrator for Delay Equations4
$$\mu $$-Norm and Regularity4
Almost-Periodic Response Solutions for a Forced Quasi-Linear Airy Equation4
Forced Waves of Parabolic–Elliptic Keller–Segel Models in Shifting Environments4
Existence and Characterization of Attractors for a Nonlocal Reaction–Diffusion Equation with an Energy Functional4
On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches4
Solvability of Some Integro-Differential Equations with Drift and Superdiffusion4
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations4
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay4
Eigenvalues and delay differential equations: periodic coefficients, impulses and rigorous numerics4
Self-similar Motions and Related Relative Equilibria in the N-point Vortex System4
Renormalized Oscillation Theory for Linear Hamiltonian Systems on [0, 1] Via the Maslov Index4
Singularly Perturbed Oscillators with Exponential Nonlinearities4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index4
Strange Attractors for Oberbeck–Boussinesq Model4
Bounded Non-response Solutions with Liouvillean Forced Frequencies for Nonlinear Wave Equations4
Weak KAM Approach to First-Order Mean Field Games with State Constraints4
Regularization by Noise of an Averaged Version of the Navier–Stokes Equations4
The Role of Delay and Degeneracy on Propagation Dynamics in Diffusion Equations4
Periodic Perturbations of a Class of Functional Differential Equations4
Self-similar Blow-Up Profiles for a Reaction–Diffusion Equation with Critically Strong Weighted Reaction3
A Climate Shift Model with Free Boundary: Enhanced Invasion3
Ergodicity for Singular-Degenerate Stochastic Porous Media Equations3
Stability Analysis of Stochastic 3D Lagrangian-Averaged Navier-Stokes Equations with Infinite Delay3
Hopf Bifurcation of a Delayed Single Population Model with Patch Structure3
On the Metastability of the 1-d Allen–Cahn Equation3
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$3
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation3
Intrinsic Determination of the Criticality of a Slow–Fast Hopf Bifurcation3
Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory3
Propagation Dynamics of Bistable Traveling Wave to a Time-Periodic Lotka-Volterra Competition Model: Effect of Seasonality3
Analytic and Algebraic Conditions for Bifurcations of Homoclinic Orbits II: Reversible Systems3
Global Well-Posedness, Blow-Up and Stability of Standing Waves for Supercritical NLS with Rotation3
Div–Curl System with Potential and Maxwell–Stokes System with Natural Boundary Condition3
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems3
Asymptotic Self-Similarity in Diffusion Equations with Nonconstant Radial Limits at Infinity3
Sigmoidal Approximations of a Nonautonomous Neural Network with Infinite Delay and Heaviside Function3
Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups3
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities3
Global Bifurcation Diagrams for Liouville–Bratu–Gelfand Problem with Minkowski-Curvature Operator3
On the Elimination of Infinite Memory Effects on the Stability of a Nonlinear Non-homogeneous Rotating Body-Beam System3
Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays3
Travelling Waves for Adaptive Grid Discretizations of Reaction Diffusion Systems III: Nonlinear Theory3
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors3
Conditional Lipschitz Shadowing for Ordinary Differential Equations3
The Navier–Stokes Equation with Time Quasi-Periodic External Force: Existence and Stability of Quasi-Periodic Solutions3
Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels3
Parameterization of Unstable Manifolds for DDEs: Formal Series Solutions and Validated Error Bounds3
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions3
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates3
Attracting and Repelling 2-Body Problems on a Family of Surfaces of Constant Curvature3
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model3
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability3
Robust Degenerate Unfoldings of Cycles and Tangencies3
Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations3
Dynamics of Suspension Bridge Equation with Delay3
On the Qualitative Behavior of a Class of Generalized Liénard Planar Systems3
On the Existence of Global Smooth Solutions to the Parabolic–Elliptic Keller–Segel System with Irregular Initial Data3
Dirac Physical Measures on Saddle-Type Fixed Points3
Homeomorphism of Hereditarily Locally Connected Continua3
Topological Pressure of Free Semigroup Actions for Non-Compact Sets and Bowen’s Equation, I3
Effective Filtering for Multiscale Stochastic Dynamical Systems Driven by Lévy Processes*3
On the 16th Hilbert Problem for Discontinuous Piecewise Polynomial Hamiltonian Systems3
Finite Dimensional Global Attractor for a Fractional Schrödinger Type Equation with Mixed Anisotropic Dispersion3
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise2
On Relative Metric Mean Dimension with Potential and Variational Principles2
Asymptotic Dynamics of Young Differential Equations2
Causal Holography of Traversing Flows2
Solvability of the Stochastic Degasperis-Procesi Equation2
A Degree Associated to Linear Eigenvalue Problems in Hilbert Spaces and Applications to Nonlinear Spectral Theory2
Markovian Solutions to Discontinuous ODEs2
Smooth Inertial Manifolds for Neutral Differential Equations with Small Delays2
Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation2
Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay2
A Free Boundary Problem of the Diffusive Competition Model with Different Habitats2
The 3D Nonlinear Schrödinger Equation with a Constant Magnetic Field Revisited2
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation2
Free Boundary Problems of a Mutualist Model with Nonlocal Diffusion2
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case2
Distributional Profiles for Traveling Waves in the Camassa–Holm Equation2
The Stability Region for Schur Stable Trinomials with General Complex Coefficients2
On the Normal Form of the Kirchhoff Equation2
Localized and Expanding Entire Solutions of Reaction–Diffusion Equations2
Asymptotic Dynamics of a Three-Species Hybrid Competition System2
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay2
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem2
The Local Variational Principle of Weighted Entropy and Its Applications2
The Trichotomy of Solutions and the Description of Threshold Solutions for Periodic Parabolic Equations in Cylinders2
The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space2
Equi-Invariability and Bounded Invariance Complexity for Control Systems2
Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces2
Transient Dynamics of Absorbed Singular Diffusions2
Cyclicity of the Limit Periodic Sets for a Singularly Perturbed Leslie–Gower Predator–Prey Model with Prey Harvesting2
Global Stability in a Two-species Attraction–Repulsion System with Competitive and Nonlocal Kinetics2
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier–Lebesgue Spaces2
Geometry and Global Stability of 2D Periodic Monotone Maps2
Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay2
Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations2
Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis2
Minimal Non-invertible Maps on the Pseudo-Circle2
Invariant Manifolds for Random Dynamical Systems on Banach Spaces Exhibiting Generalized Dichotomies2
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model2
Representation Formulas for Contact Type Hamilton-Jacobi Equations2
Periodic Center Manifolds for DDEs in the Light of Suns and Stars2
Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion2
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram2
On the Siegel-Sternberg Linearization Theorem2
Stability of the 2D Boussinesq System with Partial Dissipation2
A Mosquito-Borne Disease Model with Non-exponentially Distributed Infection and Treatment Stages2
Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model2
On the Kolmogorov Dissipation Law in a Damped Navier–Stokes Equation2
High Codimension Bifurcations of a Predator–Prey System with Generalized Holling Type III Functional Response and Allee Effects2
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat2
Learning Dynamics by Reservoir Computing (In Memory of Prof. Pavol Brunovský)2
Bogdanov–Takens and Triple Zero Bifurcations for a Neutral Functional Differential Equations with Multiple Delays2
Periodic Klein–Gordon Chains with Three Particles in 1:2:2 Resonance2
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise2
The Integral Manifolds of the N Body Problem2
Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems2
Dynamics of Induced Maps on the Space of Probability Measures2
A KAM Theorem for the Hamiltonian with Finite Zero Normal Frequencies and Its Applications (In Memory of Professor Walter Craig)2
On Averaging and Mixing for Stochastic PDEs2
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