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 2021-06-01 to 2025-06-01.)
ArticleCitations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles64
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism34
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems22
The Number of Relative Equilibria in the PCR4BP20
On Relative Metric Mean Dimension with Potential and Variational Principles19
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram19
Dynamics of Suspension Bridge Equation with Delay17
Slow Grow-up in a Quasilinear Keller–Segel System15
Propagation Speed of Degenerate Diffusion Equations with Time Delay14
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism12
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional12
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources11
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model11
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$10
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect10
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations10
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument9
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales9
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$9
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility8
On Planar Curves with Position-Dependent Curvature8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients8
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model8
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion8
Pulsating Waves for a Non-monotone Time-Delayed Lattice Equation in Discrete Periodic Habitat8
Secular Dynamics for Curved Two-Body Problems7
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System7
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate7
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations7
Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem7
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems7
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations7
Asymptotic Dynamics of Young Differential Equations6
First-time Sensitive Homeomorphisms6
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics6
On the Tree Models of Mildly Dissipative Maps6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians6
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems5
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation5
Decomposition of Linear Systems on Disconnected Lie Groups5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension5
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations5
Ergodic and Chaotic Properties of the Heat Equation5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent5
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms4
On the Dynamics of Entire Maps with Symmetry4
Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations4
Ill-Posedness Issues on (abcd)-Boussinesq System4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat4
Dense Short Solution Segments from Monotonic Delayed Arguments4
Dynamical System Related to Primal–Dual Splitting Projection Methods4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise4
Symmetric Central Configurations and the Inverse Problem4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations4
Mathematical Analysis of Parabolic Models with Volume-Filling Effect in Weighted Networks4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity4
KAM in Generalized Hamiltonian Systems with Multi-Scales4
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect4
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics3
Singular Perturbation in Heavy Ball Dynamics3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity3
Compactness Properties and General Stability Result for an Abstract Nonlinear Viscoelastic Equation3
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws3
Topological Pressure of Free Semigroup Actions For Non-Compact Sets and Bowen’s Equation, II3
Multiscale Conditional Shadowing3
Dichotomies for Triangular Systems via Admissibility3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise3
Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products3
The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ Separated by a Conic$$\times \mathbb {R}^{n-2}$$3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations3
Propagation Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment3
Global Existence and Some Qualitative Properties of Weak Solutions for a Class of Heat Equations with a Logarithmic Nonlinearity in Whole $${\mathbb {R}}^{N}$$3
Equi-Invariability and Bounded Invariance Complexity for Control Systems3
Admissibility via Evolution Semigroups3
Preface3
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay3
Correction to: Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities3
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map3
Smooth Anosov Katok Diffeomorphisms with Generic Measure3
Preface to the Special Issue in Memory of Walter Craig3
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity3
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems3
Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets3
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion3
A Note on the Polynomially Attracting Sets for Dynamical Systems3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries3
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay2
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations2
Non-existence of Solutions for a Non-Gaussian Equation in Fractional Time with Osgood Type Non-linearity2
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential2
Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation2
Discontinuous Solutions of Hamilton–Jacobi Equations Versus Radon Measure-Valued Solutions of Scalar Conservation Laws: Disappearance of Singularities2
Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: New Phenomena from a Case Study2
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems2
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions2
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity2
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs2
Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces2
Stability of Periodic Peakons for a Nonlinear Quartic $$\mu $$-Camassa–Holm Equation2
On the jth Eigenvalue of Sturm–Liouville Problem and the Maslov Index2
Numerical Attractors via Discrete Rough Paths2
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations2
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws2
Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable2
On the Existence of N-Junctions for a Symmetric Nonnegative Potential with $$N+1$$ Zeros2
Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone2
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data2
Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels2
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows2
Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters2
Bernoulli Property of Equilibrium States for Certain Partially Hyperbolic Diffeomorphisms2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity2
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation2
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model2
On Traveling Fronts of Combustion Equations in Spatially Periodic Media2
Spatial Propagation for an Epidemic Model in a Patchy Environment2
Existence of a Global Attractor for the Heat Equation with Degenerate Memory2
Bifurcations in Nagumo Equations on Graphs and Fiedler Vectors2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation2
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation2
The Persistence of Degenerate Lower-Dimensional Tori in Reversible Systems with a Degenerate Normal Equilibrium Point2
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation2
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations2
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions2
Entropy for Three-dimensional Vector Fields2
The Local Variational Principle of Weighted Entropy and Its Applications1
Intra- and Inter-Specific Competitions of Two Stage-Structured Species in a Patchy Environment1
Rigidity and Absolute Continuity of Foliations of Anosov Endomorphisms1
Preface to the Special Issue In Memory of Professor Geneviève Raugel1
Building Expansion for Generalizations of Viana Maps1
Limit Cycle Bifurcations Near Nonsmooth Homoclinic Cycle in Discontinuous Systems1
Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems1
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability1
Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment1
The Stability Region for Schur Stable Trinomials with General Complex Coefficients1
Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations1
Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations1
Dynamics of Infinite Dimensional Lotka–Volterra Operators1
KAM Tori for the System of Coupled Quantum Harmonic Oscillators with Reversible Perturbations1
A Lagrangian–Eulerian Method on Regular Triangular Grids for Hyperbolic Problems: Error Estimates for the Scalar Case and a Positive Principle for Multidimensional Systems1
The Role of Delay and Degeneracy on Propagation Dynamics in Diffusion Equations1
The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations1
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation1
Periodic Generalized Birkhoff Solutions and Farey Intervals for Monotone Recurrence Relations1
Traveling Phase Interfaces in Viscous Forward–Backward Diffusion Equations1
Delay-Difference Equations and Stability1
On Fatou Sets Containing Baker Omitted Value1
Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping1
Invariant Manifolds for a PDE-ODE Coupled System1
Asymptotic Behaviour of the Eenergy to the Viscoelastic Wave Equation with Localized Hereditary Memory and Supercritical Source Term1
Quasi-periodic Solutions for Completely Resonant Quintic Beam Equations1
Liouville Type Theorems for Fractional Parabolic Problems1
Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups1
Generalized Bounded Distortion Property1
Oblique and Checkerboard Patterns in the Quenched Cahn–Hilliard Model1
Infinite Frequency Oscillations in a Class of Discontinuous Equations with a Variable Delay1
Periodic Center Manifolds for DDEs in the Light of Suns and Stars1
On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates1
Effects of Degenerate Bifurcations and their Applications to a Holling-Type II Predator–Prey System1
Weak Mean Equicontinuity for a Countable Discrete Amenable Group Action1
Block Regularisation of the Logarithm Central Force Problem1
Stable Periodic Orbits for Delay Differential Equations with Unimodal Feedback1
Correction to: Floquet Multipliers of a Periodic Solution Under State-Dependent Delay1
Rayleigh–Bénard Convection with Stochastic Forcing Localised Near the Bottom1
Reducibility of 1-D Quantum Harmonic Oscillator with New Unbounded Oscillatory Perturbations1
Reducibility of Linear Quasi-periodic Hamiltonian Derivative Wave Equations and Half-Wave Equations Under the Brjuno Conditions1
On m-Minimal Partially Hyperbolic Diffeomorphisms1
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs1
Sequence Asymptotic Average Shadowing Property, Transitivity, and Devaney Chaos in Non-autonomous Discrete Systems1
Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity1
Travelling Waves for Adaptive Grid Discretizations of Reaction Diffusion Systems I: Well-Posedness1
Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems1
Propagation Phenomena for a Nonlocal Dispersal Three Species Predator–Prey System in Shifting Habitats1
On Diffusion Processes with Drift in a Morrey Class Containing $$L_{d+2}$$1
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise1
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case1
A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming1
Learning Dynamics by Reservoir Computing (In Memory of Prof. Pavol Brunovský)1
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations1
Conditional Lipschitz Shadowing for Ordinary Differential Equations1
Reaction–Diffusion Problems on Time-Periodic Domains1
Stability of Some Anticipating Semilinear Stochastic Differential Equations of Skorohod Type1
Dynamics of a Predator–Prey Model with Memory-Based Diffusion1
Global Stability in a Two-species Attraction–Repulsion System with Competitive and Nonlocal Kinetics1
Unstable Pressure and Thermodynamic Formalism in Partially Hyperbolic Systems1
Pinsker $$\sigma $$-Algebra Character and Mean Li–Yorke Chaos1
On Averaging and Mixing for Stochastic PDEs1
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model1
Nonautonomous Normal Forms with Parameters1
A Climate Shift Model with Free Boundary: Enhanced Invasion1
Density-Equicontinuity and Density-Sensitivity of Discrete Amenable Group Actions1
Correction to: Approaching Critical Decay in a Strongly Degenerate Parabolic Equation1
A Simple Approach to Stability of Semi-wavefronts in Parabolic-Difference Systems1
The Rotation Number for Almost Periodic Schrödinger Operators with $$\delta $$-Potentials1
Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$1
Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms1
Singularity Formation for the Multi-dimensional Compressible Degenerate Navier–Stokes Equations1
Well-Posedness and Singularity Formation for the Kolmogorov Two-Equation Model of Turbulence in 1-D1
Linearization of Quasi-Periodically Forced Circle Flows Beyond Multi-Dimensional Brjuno Frequency1
Oscillations in Planar Deficiency-One Mass-Action Systems1
The Exponential of the Lattice Laplacian Operator and the Mean-Square Attractor of A Stochastic Lattice System1
Stochastic Wasserstein Hamiltonian Flows1
Stability of Solutions to Functional KPP-Fisher Equations1
Stabilization of a Semilinear Wave Equation with Delay1
Blowing-Up Asymptotically Autonomous Planar Vector Fields: Infinite Delay Equations and Invariant Manifolds1
Lattice Structures for Attractors III1
Forced Frequency Locking for Semilinear Dissipative Hyperbolic PDEs1
0.11456704139709