Journal of Dynamics and Differential Equations

Article	Citations
Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems	41
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems	20
Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates	17
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model	16
Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems	16
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay	14
Local and Global Analysis for Discontinuous Atmospheric Ekman Equations	14
A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems	13
Double Hopf Bifurcation Analysis in the Memory-based Diffusion System	12
Equicontinuity and Sensitivity in Mean Forms	12
Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems	12
Longtime Dynamics of a Semilinear Lamé System	11
Long-Time Existence for Semi-linear Beam Equations on Irrational Tori	11
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity	10
Limiting Solutions of Nonlocal Dispersal Problem in Inhomogeneous Media	10
Hausdorff Sub-norm Spaces and Continuity of Random Attractors for Bi-stochastic g-Navier–Stokes Equations with Respect to Tempered Forces	9
Limiting Dynamics for Stochastic FitzHugh–Nagumo Lattice Systems in Weighted Spaces	9
Lattice Structures for Attractors III	9
Local Well Posedness of the Euler–Korteweg Equations on $${{\mathbb {T}}^d}$$	9
Delta Shock Wave Solution of the Riemann Problem for the Non-homogeneous Modified Chaplygin Gasdynamics	8
Propagation Phenomena for a Nonlocal Dispersal Lotka–Volterra Competition Model in Shifting Habitats	8
Large Time Behavior of Deterministic and Stochastic 3D Convective Brinkman-Forchheimer Equations in Periodic Domains	8
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect	7
Propagation Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment	7
On the Global Existence for the Kuramoto-Sivashinsky Equation	7

Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	7
Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone	7
Nonlinear Young Differential Equations: A Review	7
Asymptotic Behavior of Non-autonomous Fractional Stochastic p-Laplacian Equations with Delay on $$\mathbb {R}^n$$	7
Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities	7
Oscillations in Planar Deficiency-One Mass-Action Systems	7
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition	7
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	7
Regularization by Noise of an Averaged Version of the Navier–Stokes Equations	6
On the Existence of Global Smooth Solutions to the Parabolic–Elliptic Keller–Segel System with Irregular Initial Data	6
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations	6
On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model	6
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional	6
Periodic Waves in the Fractional Modified Korteweg–de Vries Equation	6
Multiscale Conditional Shadowing	6
Global Dynamics and Asymptotic Spreading Speeds for a Partially Degenerate Epidemic Model with Time Delay and Free Boundaries	5
Hyperbolic Quasilinear Navier–Stokes Equations in $${\mathbb {R}}^2$$	5
Kwak Transform and Inertial Manifolds revisited	5
Global Well-Posedness, Blow-Up and Stability of Standing Waves for Supercritical NLS with Rotation	5
Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups	5
On Well-Posedness and Concentration of Blow-Up Solutions for the Intercritical Inhomogeneous NLS Equation	5
Dynamics Complexity of Generalist Predatory Mite and the Leafhopper Pest in Tea Plantations	5
Solvability of Some Integro-Differential Equations with Drift and Superdiffusion	5
On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches	4
The Navier–Stokes Equation with Time Quasi-Periodic External Force: Existence and Stability of Quasi-Periodic Solutions	4
Weak KAM Approach to First-Order Mean Field Games with State Constraints	4
The Role of Delay and Degeneracy on Propagation Dynamics in Diffusion Equations	4
Renormalized Oscillation Theory for Linear Hamiltonian Systems on [0, 1] Via the Maslov Index	4
The Trichotomy of Solutions and the Description of Threshold Solutions for Periodic Parabolic Equations in Cylinders	4
Topological Pressure of Free Semigroup Actions For Non-Compact Sets and Bowen’s Equation, II	4
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	4
Singularly Perturbed Oscillators with Exponential Nonlinearities	4
Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering	4
Parameterization of Unstable Manifolds for DDEs: Formal Series Solutions and Validated Error Bounds	4
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay	4
Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces	4
Forced Waves of Parabolic–Elliptic Keller–Segel Models in Shifting Environments	4
On the 16th Hilbert Problem for Discontinuous Piecewise Polynomial Hamiltonian Systems	4
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model	4
Conditional Lipschitz Shadowing for Ordinary Differential Equations	4
Invariant Curves of Almost Periodic Twist Mappings	4
Strange Attractors for Oberbeck–Boussinesq Model	4
$$\mu $$-Norm and Regularity	4
Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis	4
Existence and Characterization of Attractors for a Nonlocal Reaction–Diffusion Equation with an Energy Functional	4
Periodic Perturbations of a Class of Functional Differential Equations	4
Finite Dimensional Global Attractor for a Fractional Schrödinger Type Equation with Mixed Anisotropic Dispersion	4
Self-similar Blow-Up Profiles for a Reaction–Diffusion Equation with Critically Strong Weighted Reaction	4

Dynamics of Suspension Bridge Equation with Delay	4
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions	3
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability	3
On the Qualitative Behavior of a Class of Generalized Liénard Planar Systems	3
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case	3
Propagation Dynamics of Bistable Traveling Wave to a Time-Periodic Lotka-Volterra Competition Model: Effect of Seasonality	3
Travelling Waves for Adaptive Grid Discretizations of Reaction Diffusion Systems III: Nonlinear Theory	3
Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels	3
Homeomorphism of Hereditarily Locally Connected Continua	3
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	3
Equi-Invariability and Bounded Invariance Complexity for Control Systems	3
The Integral Manifolds of the N Body Problem	3
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier–Lebesgue Spaces	3
Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation	3
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	3
Bogdanov–Takens and Triple Zero Bifurcations for a Neutral Functional Differential Equations with Multiple Delays	3
Periodicity of Solutions for Non-Autonomous Neutral Functional Differential Equations with State-Dependent Delay	3
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	3
On the Elimination of Infinite Memory Effects on the Stability of a Nonlinear Non-homogeneous Rotating Body-Beam System	3
Ergodicity for Singular-Degenerate Stochastic Porous Media Equations	3
Topological Pressure of Free Semigroup Actions for Non-Compact Sets and Bowen’s Equation, I	3
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$	3
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation	3
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	3
Div–Curl System with Potential and Maxwell–Stokes System with Natural Boundary Condition	3
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	3
A Climate Shift Model with Free Boundary: Enhanced Invasion	3
Stability Analysis of Stochastic 3D Lagrangian-Averaged Navier-Stokes Equations with Infinite Delay	3
Finite or Infinite Spreading Speed of an Epidemic Model with Free Boundary and Double Nonlocal Effects	3
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors	3
Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations	3
Asymptotic Dynamics of a Three-Species Hybrid Competition System	3
On Averaging and Mixing for Stochastic PDEs	3
A KAM Theorem for the Hamiltonian with Finite Zero Normal Frequencies and Its Applications (In Memory of Professor Walter Craig)	3
Hopf Bifurcation of a Delayed Single Population Model with Patch Structure	3
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise	3
Global Bifurcation Diagrams for Liouville–Bratu–Gelfand Problem with Minkowski-Curvature Operator	3
Effective Filtering for Multiscale Stochastic Dynamical Systems Driven by Lévy Processes*	3
Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion	3
Stochastic Wasserstein Hamiltonian Flows	3
Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment	3
Cyclicity of the Limit Periodic Sets for a Singularly Perturbed Leslie–Gower Predator–Prey Model with Prey Harvesting	3
Transient Dynamics of Absorbed Singular Diffusions	3
Analytic and Algebraic Conditions for Bifurcations of Homoclinic Orbits II: Reversible Systems	3
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise	3
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System	2
Reducibility of Finitely Differentiable Quasi-Periodic Cocycles and Its Spectral Applications	2
Smoothness of Class $$C^2$$ of Nonautonomous Linearization Without Spectral Conditions	2
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	2
A Free Boundary Problem of the Diffusive Competition Model with Different Habitats	2
Reducibility of Quasi-periodic Linear KdV Equation	2
Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems	2
The Local Variational Principle of Weighted Entropy and Its Applications	2
Enabling Equation-Free Modeling via Diffusion Maps	2
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions	2
Representation Formulas for Contact Type Hamilton-Jacobi Equations	2
Dynamically Incoherent Surface Endomorphisms	2
Causal Holography of Traversing Flows	2
Markovian Solutions to Discontinuous ODEs	2
On Relative Metric Mean Dimension with Potential and Variational Principles	2
Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations	2
Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay	2
Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations	2
Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing	2
Density of the Level Sets of the Metric Mean Dimension for Homeomorphisms	2
Spectral Analysis and Stability of the Moore-Gibson-Thompson-Fourier Model	2
Global Weak Solutions of a Hamiltonian Regularised Burgers Equation	2
Periodic Center Manifolds for DDEs in the Light of Suns and Stars	2
Existence and Congruence of Global Attractors for Damped and Forced Integrable and Nonintegrable Discrete Nonlinear Schrödinger Equations	2
Localized and Expanding Entire Solutions of Reaction–Diffusion Equations	2
Finite Ion Size Effects on Ionic Flows via Poisson–Nernst–Planck Systems: Higher Order Contributions	2
Dense Short Solution Segments from Monotonic Delayed Arguments	2
A Lagrangian–Eulerian Method on Regular Triangular Grids for Hyperbolic Problems: Error Estimates for the Scalar Case and a Positive Principle for Multidimensional Systems	2
Distributional Profiles for Traveling Waves in the Camassa–Holm Equation	2
Periodic Generalized Birkhoff Solutions and Farey Intervals for Monotone Recurrence Relations	2
Propagation Phenomena with Nonlocal Diffusion in Presence of an Obstacle	2
The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space	2
Smooth Inertial Manifolds for Neutral Differential Equations with Small Delays	2
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay	2
Continuum Limit of Nonlocal Diffusion on Inhomogeneous Networks	2

Geometry and Global Stability of 2D Periodic Monotone Maps	2
Free Boundary Problems of a Mutualist Model with Nonlocal Diffusion	2
The Stability Region for Schur Stable Trinomials with General Complex Coefficients	2
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities	2
Propagation Phenomena for a Nonlocal Dispersal Three Species Predator–Prey System in Shifting Habitats	2
Learning Dynamics by Reservoir Computing (In Memory of Prof. Pavol Brunovský)	2
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations	2
Periodic Klein–Gordon Chains with Three Particles in 1:2:2 Resonance	2
Consensus Strategies for a Hegselmann–Krause Model with Leadership and Time Variable Time Delay	2
The Rotation Number for Almost Periodic Schrödinger Operators with $$\delta $$-Potentials	2
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram	2
Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay	2
Asymptotic Dynamics of Young Differential Equations	2
A Degree Associated to Linear Eigenvalue Problems in Hilbert Spaces and Applications to Nonlinear Spectral Theory	2
On the Siegel-Sternberg Linearization Theorem	2
Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model	2
Solvability of the Stochastic Degasperis-Procesi Equation	2
Global Stability in a Two-species Attraction–Repulsion System with Competitive and Nonlocal Kinetics	2
Admissibility via Evolution Semigroups	2
Solitons and Periodic Traveling Waves for a Hyperelastic Dispersive Equation	1
Dynamics of a Predator–Prey Model with Memory-Based Diffusion	1
Shilnikov Saddle-Focus Homoclinic Orbits from Numerics: Higher Dimensions	1
On the Critical Norm Concentration for the Inhomogeneous Nonlinear Schrödinger Equation	1
Quantifying the Shadowing Property	1
The Minkowski Billiard Characterization of the EHZ-Capacity of Convex Lagrangian Products	1
Entry–Exit Functions in Fast–Slow Systems with Intersecting Eigenvalues	1
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	1
Dynamical Schrödinger Bridge Problems on Graphs	1
Comment on: Criteria for Strong and Weak Random Attractors	1
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	1
Minimal Subsystems of Given Mean Dimension in Bernstein Spaces	1
On the Velocity of a Small Rigid Body in a Viscous Incompressible Fluid in Dimension Two and Three	1
On the Renormalizations of Circle Homeomorphisms with Several Break Points	1
The Lugiato–Lefever Equation with Nonlinear Damping Caused by Two Photon Absorption	1
Bifurcation of Gap Solitons in Coupled Mode Equations in d Dimensions	1
Sharp Sobolev Estimates for Concentration of Solutions to an Aggregation–Diffusion Equation	1
Block Regularisation of the Logarithm Central Force Problem	1
Comet and Moon Solutions in the Time-Dependent Restricted $$(n+1)$$-Body Problem	1
Density-Equicontinuity and Density-Sensitivity of Discrete Amenable Group Actions	1
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs	1
Global Solutions and Stability Properties of the 5th Order Gardner Equation	1
On Fatou Sets Containing Baker Omitted Value	1
The Dynamics of a Nonlocal Dispersal Logistic Model with Seasonal Succession and Free Boundaries	1
Delta Shocks as Solutions of Conservation Laws with Discontinuous Moving Source	1
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	1
Exponential Stability and Asymptotic Periodic Solutions of Linear Integral Equations with Two Delays	1
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	1
Spectra Based on Bohl Exponents and Bohl Dichotomy for Nonautonomous Difference Equations	1
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	1
Hopf Bifurcation in a Delayed Population Model Over Patches with General Dispersion Matrix and Nonlocal Interactions	1
The 3D Nonlinear Schrödinger Equation with a Constant Magnetic Field Revisited	1
Some Remarks Concerning the Scattering Theory for the Sturm–Liouville Operator	1
The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ Separated by a Conic$$\times \mathbb {R}^{n-2}$$	1
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	1
The Number of Relative Equilibria in the PCR4BP	1
Subharmonic Solutions of Weakly Coupled Hamiltonian Systems	1
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	1
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	1
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	1
Stationary Shear Flows of Nematic Liquid Crystals: A Comprehensive Study via Ericksen–Leslie Model	1
Bernoulli Property of Equilibrium States for Certain Partially Hyperbolic Diffeomorphisms	1
A Hilbert Space Approach to Fractional Differential Equations	1
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	1
Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems	1
On Planar Curves with Position-Dependent Curvature	1
Global Attractivity for Nonautonomous Delay-Differential Equations with Mixed Monotonicity and Two Delays	1
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	1
The Periodic and Limiting Behaviors of Invariant Measures for 3D Globally Modified Navier–Stokes Equations	1
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	1
Stability of Periodic Peakons for a Nonlinear Quartic $$\mu $$-Camassa–Holm Equation	1
Monotone skew-Product Semiflows for Carathéodory Differential Equations and Applications	1
Dziobek Equilibrium Configurations on a Sphere	1
Numerical Attractors via Discrete Rough Paths	1
Rigidity of Reducibility of Finitely Differentiable Quasi-Periodic Cocycles on U(n)	1
New Temperature Dependent Configurational Probability Diffusion Equation for Diluted FENE Polymer Fluids: Existence of Solution Results	1
Weak Mean Equicontinuity for a Countable Discrete Amenable Group Action	1
Coherent Structures in Nonlocal Systems: Functional Analytic Tools	1
Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect	1
Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity	1
Global Attractors for a Class of Discrete Dynamical Systems	1
Domain Walls for the Bénard–Rayleigh Convection Problem with “Rigid–Free” Boundary Conditions	1
Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$	1
Entire Minimizers of Allen–Cahn Systems with Sub-Quadratic Potentials	1
On the Structure Theory of Cubespace Fibrations	1
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity	1
The Modified Korteweg-de Vries System on the Half-Line	1
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	1
Asymptotic Behavior of a Nonlocal Advection System with Two Populations	1
Unstable Pressure and Thermodynamic Formalism in Partially Hyperbolic Systems	1
Amorphic Complexity Can Take Any Nonnegative Value	1
Periodic Motions for Multi-wells Potentials and Layers Dynamic for the Vector Allen–Cahn Equation	1
A Generalization of the Poincaré Compactification and the Real Jacobian Conjecture	1
Optimal and Sharp Convergence Rate of Solutions for a Semilinear Heat Equation with a Critical Exponent and Exponentially Approaching Initial Data	1
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	1
KAM Tori for the System of Coupled Quantum Harmonic Oscillators with Reversible Perturbations	1