Journal of Dynamics and Differential Equations

Papers
(The median citation count of Journal of Dynamics and Differential Equations 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 2020-03-01 to 2024-03-01.)
ArticleCitations
Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems30
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 Layers20
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 systems17
Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates16
Permanence, Extinction and Periodicity to a Stochastic Competitive Model with Infinite Distributed Delays16
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
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay14
Local and Global Analysis for Discontinuous Atmospheric Ekman Equations13
On a Stochastic Camassa–Holm Type Equation with Higher Order Nonlinearities13
A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems12
Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems11
Age-Structured Population Dynamics with Nonlocal Diffusion11
Propagation Direction of the Traveling Wave for the Lotka–Volterra Competitive Lattice System10
Double Hopf Bifurcation Analysis in the Memory-based Diffusion System10
Equicontinuity and Sensitivity in Mean Forms10
The Kinetic Space of Multistationarity in Dual Phosphorylation9
Longtime Dynamics of a Semilinear Lamé System9
Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems9
Limiting Solutions of Nonlocal Dispersal Problem in Inhomogeneous Media8
Lattice Structures for Attractors III8
Local Well Posedness of the Euler–Korteweg Equations on $${{\mathbb {T}}^d}$$8
Global Continuation of Periodic Oscillations to a Diapause Rhythm8
Oscillations in Planar Deficiency-One Mass-Action Systems8
Propagation Phenomena for a Nonlocal Dispersal Lotka–Volterra Competition Model in Shifting Habitats8
Hausdorff Sub-norm Spaces and Continuity of Random Attractors for Bi-stochastic g-Navier–Stokes Equations with Respect to Tempered Forces8
Nonlinear Young Differential Equations: A Review8
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws7
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
Wave Breaking Phenomena for the Fornberg–Whitham Equation7
Long-Time Existence for Semi-linear Beam Equations on Irrational Tori6
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition6
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional6
Large Time Behavior of Deterministic and Stochastic 3D Convective Brinkman-Forchheimer Equations in Periodic Domains6
Asymptotic Behavior of Non-autonomous Fractional Stochastic p-Laplacian Equations with Delay on $$\mathbb {R}^n$$6
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity6
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect6
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate6
Stability for Nonautonomous Linear Differential Systems with Infinite Delay5
Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone5
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
Global Dynamics and Asymptotic Spreading Speeds for a Partially Degenerate Epidemic Model with Time Delay and Free Boundaries5
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
On Well-Posedness and Concentration of Blow-Up Solutions for the Intercritical Inhomogeneous NLS Equation5
On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model5
Asymptotic Behavior of Solutions of Free Boundary Problems for Fisher-KPP Equation5
Hyperbolic Quasilinear Navier–Stokes Equations in $${\mathbb {R}}^2$$5
Strange Attractors for Oberbeck–Boussinesq Model4
Pullback Attractors for Stochastic Young Differential Delay Equations4
Almost-Periodic Response Solutions for a Forced Quasi-Linear Airy Equation4
$$\mu $$-Norm and Regularity4
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
Periodic Perturbations of a Class of Functional Differential Equations4
On the Global Existence for the Kuramoto-Sivashinsky Equation4
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability4
Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering4
On Stability of Discrete Dynamical Systems: From Global Methods to Ergodic Theory Approaches4
Periodic Waves in the Fractional Modified Korteweg–de Vries Equation4
The Role of Delay and Degeneracy on Propagation Dynamics in Diffusion Equations4
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay4
A Rigorous Implicit $$C^1$$ Chebyshev Integrator for Delay Equations4
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
Singularly Perturbed Oscillators with Exponential Nonlinearities4
Regular Polygonal Equilibria on $$\mathbb {S}^1$$ and Stability of the Associated Relative Equilibria4
Kwak Transform and Inertial Manifolds revisited4
Blowup on an Arbitrary Compact Set for a Schrödinger Equation with Nonlinear Source Term4
Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities4
Regularization by Noise of an Averaged Version of the Navier–Stokes Equations4
Eigenvalues and delay differential equations: periodic coefficients, impulses and rigorous numerics4
Long Time Behavior of Random and Nonautonomous Fisher–KPP Equations: Part I—Stability of Equilibria and Spreading Speeds4
Propagation Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment4
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
Solvability of Some Integro-Differential Equations with Drift and Superdiffusion4
Invariant Curves of Almost Periodic Twist Mappings4
On the Existence of Global Smooth Solutions to the Parabolic–Elliptic Keller–Segel System with Irregular Initial Data3
Stability Analysis of Stochastic 3D Lagrangian-Averaged Navier-Stokes Equations with Infinite Delay3
Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin–Ono Equation3
The Problem of Generalized D-Stability in Unbounded LMI Regions and Its Computational Aspects3
Dirac Physical Measures on Saddle-Type Fixed Points3
Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels3
Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations3
Propagation Dynamics of Bistable Traveling Wave to a Time-Periodic Lotka-Volterra Competition Model: Effect of Seasonality3
Parameterization of Unstable Manifolds for DDEs: Formal Series Solutions and Validated Error Bounds3
Global Well-Posedness, Blow-Up and Stability of Standing Waves for Supercritical NLS with Rotation3
Attracting and Repelling 2-Body Problems on a Family of Surfaces of Constant Curvature3
A Climate Shift Model with Free Boundary: Enhanced Invasion3
Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups3
Robust Degenerate Unfoldings of Cycles and Tangencies3
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations3
Conditional Lipschitz Shadowing for Ordinary Differential Equations3
Travelling Waves for Adaptive Grid Discretizations of Reaction Diffusion Systems III: Nonlinear Theory3
Bounded Non-response Solutions with Liouvillean Forced Frequencies for Nonlinear Wave Equations3
Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays3
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation3
On the Qualitative Behavior of a Class of Generalized Liénard Planar Systems3
Topological Pressure of Free Semigroup Actions for Non-Compact Sets and Bowen’s Equation, I3
Stability of Non-constant Equilibrium Solutions for Compressible Viscous and Diffusive MHD Equations with the Coulomb Force3
Finite Dimensional Global Attractor for a Fractional Schrödinger Type Equation with Mixed Anisotropic Dispersion3
Self-similar Blow-Up Profiles for a Reaction–Diffusion Equation with Critically Strong Weighted Reaction3
Boundary Orders and Geometry of the Signed Thom–Smale Complex for Sturm Global Attractors3
Localized and Expanding Entire Solutions of Reaction–Diffusion Equations3
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index3
Relative Topological Entropy for Actions of Non-discrete Groups on Compact Spaces in the Context of Cut and Project Schemes3
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities3
The Navier–Stokes Equation with Time Quasi-Periodic External Force: Existence and Stability of Quasi-Periodic Solutions3
Intrinsic Determination of the Criticality of a Slow–Fast Hopf Bifurcation3
Weak KAM Approach to First-Order Mean Field Games with State Constraints3
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors3
Homeomorphism of Hereditarily Locally Connected Continua3
On the Elimination of Infinite Memory Effects on the Stability of a Nonlinear Non-homogeneous Rotating Body-Beam System3
Effective Filtering for Multiscale Stochastic Dynamical Systems Driven by Lévy Processes*3
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates3
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model3
Ergodicity for Singular-Degenerate Stochastic Porous Media Equations3
Hopf Bifurcation of a Delayed Single Population Model with Patch Structure3
Markovian Solutions to Discontinuous ODEs2
Smooth Inertial Manifolds for Neutral Differential Equations with Small Delays2
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier–Lebesgue Spaces2
Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay2
Periodic Klein–Gordon Chains with Three Particles in 1:2:2 Resonance2
Free Boundary Problems of a Mutualist Model with Nonlocal Diffusion2
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat2
Mathematical Consistency and Long-Term Behaviour of a Dynamical System with a Self-Organising Vector Field2
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
On the Metastability of the 1-d Allen–Cahn Equation2
Sigmoidal Approximations of a Nonautonomous Neural Network with Infinite Delay and Heaviside Function2
Multi-spike Patterns for the Gierer-Meinhardt Model with Heterogeneity on Y-shaped Metric Graph2
Dynamics of Suspension Bridge Equation with Delay2
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems2
Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model2
Solvability of the Stochastic Degasperis-Procesi Equation2
A Degree Associated to Linear Eigenvalue Problems in Hilbert Spaces and Applications to Nonlinear Spectral Theory2
On the Kolmogorov Dissipation Law in a Damped Navier–Stokes Equation2
Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation2
Equi-Invariability and Bounded Invariance Complexity for Control Systems2
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
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions2
The Integral Manifolds of the N Body Problem2
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise2
Bogdanov–Takens and Triple Zero Bifurcations for a Neutral Functional Differential Equations with Multiple Delays2
Distributional Profiles for Traveling Waves in the Camassa–Holm Equation2
Propagation in a Fractional Reaction–Diffusion Equation in a Periodically Hostile Environment2
On the Normal Form of the Kirchhoff Equation2
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model2
Asymptotic Dynamics of a Three-Species Hybrid Competition System2
On Relative Metric Mean Dimension with Potential and Variational Principles2
Div–Curl System with Potential and Maxwell–Stokes System with Natural Boundary Condition2
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$2
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem2
Causal Holography of Traversing Flows2
A Mosquito-Borne Disease Model with Non-exponentially Distributed Infection and Treatment Stages2
Continuous Dependence of the Singular Nonlinear Van der Pol Equation Solutions with Respect to the Boundary Conditions: Elements of p-regularity Theory2
On Rigid Minimal Spaces2
High Codimension Bifurcations of a Predator–Prey System with Generalized Holling Type III Functional Response and Allee Effects2
Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces2
A Free Boundary Problem of the Diffusive Competition Model with Different Habitats2
Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations2
Asymptotic Self-Similarity in Diffusion Equations with Nonconstant Radial Limits at Infinity2
Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay2
The 3D Nonlinear Schrödinger Equation with a Constant Magnetic Field Revisited2
Invariant Manifolds for Random Dynamical Systems on Banach Spaces Exhibiting Generalized Dichotomies2
The Stability Region for Schur Stable Trinomials with General Complex Coefficients2
Representation Formulas for Contact Type Hamilton-Jacobi Equations2
Periodic Center Manifolds for DDEs in the Light of Suns and Stars2
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation2
Stability of the 2D Boussinesq System with Partial Dissipation2
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
On the Siegel-Sternberg Linearization Theorem2
Global Bifurcation Diagrams for Liouville–Bratu–Gelfand Problem with Minkowski-Curvature Operator2
Bifurcation of Gap Solitons in Coupled Mode Equations in d Dimensions1
Unstable Pressure and Thermodynamic Formalism in Partially Hyperbolic Systems1
Dense Short Solution Segments from Monotonic Delayed Arguments1
Comet and Moon Solutions in the Time-Dependent Restricted $$(n+1)$$-Body Problem1
Reducibility of Finitely Differentiable Quasi-Periodic Cocycles and Its Spectral Applications1
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion1
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations1
Nilpotent Jacobians and Almost Global Stability1
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case1
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs1
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions1
Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect1
The Local Variational Principle of Weighted Entropy and Its Applications1
Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations1
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations1
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise1
Spectra Based on Bohl Exponents and Bohl Dichotomy for Nonautonomous Difference Equations1
Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment1
New Temperature Dependent Configurational Probability Diffusion Equation for Diluted FENE Polymer Fluids: Existence of Solution Results1
Rigidity of Reducibility of Finitely Differentiable Quasi-Periodic Cocycles on U(n)1
Entry–Exit Functions in Fast–Slow Systems with Intersecting Eigenvalues1
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems1
The Minkowski Billiard Characterization of the EHZ-Capacity of Convex Lagrangian Products1
Monotone skew-Product Semiflows for Carathéodory Differential Equations and Applications1
Floquet Multipliers of a Periodic Solution Under State-Dependent Delay1
Global Attractivity for Nonautonomous Delay-Differential Equations with Mixed Monotonicity and Two Delays1
Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems1
Stationary Shear Flows of Nematic Liquid Crystals: A Comprehensive Study via Ericksen–Leslie Model1
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations1
Periodic Motions for Multi-wells Potentials and Layers Dynamic for the Vector Allen–Cahn Equation1
Unbounded Solutions to Systems of Differential Equations at Resonance1
General Melnikov Approach to Implicit ODE’s1
Shilnikov Saddle-Focus Homoclinic Orbits from Numerics: Higher Dimensions1
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect1
Specific Properties of the ODE’s Flow in Dimension Two Versus Dimension Three1
Stability of Periodic Peakons for a Nonlinear Quartic $$\mu $$-Camassa–Holm Equation1
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System1
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions1
On the Structure Theory of Cubespace Fibrations1
The Number of Relative Equilibria in the PCR4BP1
Stability of Quasilinear Waves in $$1+1$$ Dimension Under Null Condition1
Some Remarks Concerning the Scattering Theory for the Sturm–Liouville Operator1
Geometric Singular Perturbation Theory for Systems with Symmetry1
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity1
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram1
The Lugiato–Lefever Equation with Nonlinear Damping Caused by Two Photon Absorption1
Bernoulli Property of Equilibrium States for Certain Partially Hyperbolic Diffeomorphisms1
Amorphic Complexity Can Take Any Nonnegative Value1
A Generalization of the Poincaré Compactification and the Real Jacobian Conjecture1
Propagation Phenomena with Nonlocal Diffusion in Presence of an Obstacle1
Density-Equicontinuity and Density-Sensitivity of Discrete Amenable Group Actions1
Dziobek Equilibrium Configurations on a Sphere1
On Fatou Sets Containing Baker Omitted Value1
Subharmonic Solutions of Weakly Coupled Hamiltonian Systems1
Reducibility of Quasi-periodic Linear KdV Equation1
On the 16th Hilbert Problem for Discontinuous Piecewise Polynomial Hamiltonian Systems1
Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity1
Admissibility via Evolution Semigroups1
Solitons and Periodic Traveling Waves for a Hyperelastic Dispersive Equation1
Measure and Statistical Attractors for Nonautonomous Dynamical Systems1
On the Critical Norm Concentration for the Inhomogeneous Nonlinear Schrödinger Equation1
Dynamical Schrödinger Bridge Problems on Graphs1
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay1
Domain Walls for the Bénard–Rayleigh Convection Problem with “Rigid–Free” Boundary Conditions1
Attraction in Nonmonotone Planar Systems and Real-Life Models1
Geometry and Global Stability of 2D Periodic Monotone Maps1
Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$1
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