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 2021-09-01 to 2025-09-01.)
ArticleCitations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles36
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism20
Dynamics of Suspension Bridge Equation with Delay19
The Number of Relative Equilibria in the PCR4BP16
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram16
Slow Grow-up in a Quasilinear Keller–Segel System14
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism13
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources12
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model12
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations11
Propagation Speed of Degenerate Diffusion Equations with Time Delay10
On Relative Metric Mean Dimension with Potential and Variational Principles9
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument8
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate8
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect8
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations8
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$8
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales7
On Planar Curves with Position-Dependent Curvature7
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion7
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model7
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$7
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients7
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians6
First-time Sensitive Homeomorphisms6
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting6
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids6
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations6
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation6
Measure and Statistical Attractors for Nonautonomous Dynamical Systems6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces6
Ergodic and Chaotic Properties of the Heat Equation5
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
On the Tree Models of Mildly Dissipative Maps5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations5
Decomposition of Linear Systems on Disconnected Lie Groups5
Asymptotic Dynamics of Young Differential Equations5
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics5
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation5
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation5
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension5
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s4
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise4
Dynamical System Related to Primal–Dual Splitting Projection Methods4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One4
Ill-Posedness Issues on (abcd)-Boussinesq System4
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping4
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems4
Smooth Anosov Katok Diffeomorphisms with Generic Measure4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations4
On the Dynamics of Entire Maps with Symmetry4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations4
Symmetric Central Configurations and the Inverse Problem4
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect4
KAM in Generalized Hamiltonian Systems with Multi-Scales4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms4
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index4
Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations4
A Note on the Polynomially Attracting Sets for Dynamical Systems3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries3
Multiscale Conditional Shadowing3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary3
Singular Perturbation in Heavy Ball Dynamics3
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems3
Equi-Invariability and Bounded Invariance Complexity for Control Systems3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle3
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map3
Dichotomies for Triangular Systems via Admissibility3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations3
Correction to: Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations3
Admissibility via Evolution Semigroups3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model3
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems3
The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ Separated by a Conic$$\times \mathbb {R}^{n-2}$$3
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
Preface3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets3
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay2
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws2
The Persistence of Degenerate Lower-Dimensional Tori in Reversible Systems with a Degenerate Normal Equilibrium Point2
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity2
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
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations2
Spatial Propagation for an Epidemic Model in a Patchy Environment2
Bifurcations in Nagumo Equations on Graphs and Fiedler Vectors2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations2
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion2
On Traveling Fronts of Combustion Equations in Spatially Periodic Media2
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation2
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows2
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity2
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters2
Numerical Attractors via Discrete Rough Paths2
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model2
Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation2
On the Existence of N-Junctions for a Symmetric Nonnegative Potential with $$N+1$$ Zeros2
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations2
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential2
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data2
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation2
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions2
Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: New Phenomena from a Case Study2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity2
Generalized Bounded Distortion Property2
On the jth Eigenvalue of Sturm–Liouville Problem and the Maslov Index2
Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation2
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation2
KAM Tori for the System of Coupled Quantum Harmonic Oscillators with Reversible Perturbations1
Reaction–Diffusion Problems on Time-Periodic Domains1
Rigidity and Absolute Continuity of Foliations of Anosov Endomorphisms1
Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations1
Stability of Some Anticipating Semilinear Stochastic Differential Equations of Skorohod Type1
Block Regularisation of the Logarithm Central Force Problem1
Periodic Center Manifolds for DDEs in the Light of Suns and Stars1
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions1
Learning Dynamics by Reservoir Computing (In Memory of Prof. Pavol Brunovský)1
Dynamics of a Predator–Prey Model with Memory-Based Diffusion1
Invariant Manifolds for a PDE-ODE Coupled System1
The initial value problem for a massless scalar field and N point-charges in one space dimension1
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation1
A Note on Logarithmic Mean Equicontinuity1
Effects of Degenerate Bifurcations and their Applications to a Holling-Type II Predator–Prey System1
Quasi-periodic Solutions for Completely Resonant Quintic Beam Equations1
Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping1
On Averaging and Mixing for Stochastic PDEs1
The Local Variational Principle of Weighted Entropy and Its Applications1
Stable Periodic Orbits for Delay Differential Equations with Unimodal Feedback1
Propagation Dynamics of Asymptotically Smooth Monotone Systems1
Oblique and Checkerboard Patterns in the Quenched Cahn–Hilliard Model1
Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment1
Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity1
Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems1
Reducibility of 1-D Quantum Harmonic Oscillator with New Unbounded Oscillatory Perturbations1
The Exponential of the Lattice Laplacian Operator and the Mean-Square Attractor of A Stochastic Lattice System1
Density-Equicontinuity and Density-Sensitivity of Discrete Amenable Group Actions1
Rayleigh–Bénard Convection with Stochastic Forcing Localised Near the Bottom1
Propagation Phenomena for a Nonlocal Dispersal Three Species Predator–Prey System in Shifting Habitats1
The Stability Region for Schur Stable Trinomials with General Complex Coefficients1
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations1
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs1
Lattice Structures for Attractors III1
Non-existence of Solutions for a Non-Gaussian Equation in Fractional Time with Osgood Type Non-linearity1
On Diffusion Processes with Drift in a Morrey Class Containing $$L_{d+2}$$1
Stability of Periodic Peakons for a Nonlinear Quartic $$\mu $$-Camassa–Holm Equation1
A Lagrangian–Eulerian Method on Regular Triangular Grids for Hyperbolic Problems: Error Estimates for the Scalar Case and a Positive Principle for Multidimensional Systems1
Preface to the Special Issue In Memory of Professor Geneviève Raugel1
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise1
Blowing-Up Asymptotically Autonomous Planar Vector Fields: Infinite Delay Equations and Invariant Manifolds1
Dynamics of Infinite Dimensional Lotka–Volterra Operators1
Delay-Difference Equations and Stability1
Traveling Phase Interfaces in Viscous Forward–Backward Diffusion Equations1
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability1
Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms1
Weak Mean Equicontinuity for a Countable Discrete Amenable Group Action1
Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations1
Intra- and Inter-Specific Competitions of Two Stage-Structured Species in a Patchy Environment1
Pinsker $$\sigma $$-Algebra Character and Mean Li–Yorke Chaos1
Well-Posedness and Singularity Formation for the Kolmogorov Two-Equation Model of Turbulence in 1-D1
Liouville Type Theorems for Fractional Parabolic Problems1
Stochastic Wasserstein Hamiltonian Flows1
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case1
Forced Frequency Locking for Semilinear Dissipative Hyperbolic PDEs1
A Simple Approach to Stability of Semi-wavefronts in Parabolic-Difference Systems1
Stabilization of a Semilinear Wave Equation with Delay1
On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates1
The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations1
Entropy for Three-dimensional Vector Fields1
Asymptotic Behaviour of the Eenergy to the Viscoelastic Wave Equation with Localized Hereditary Memory and Supercritical Source Term1
Conditional Lipschitz Shadowing for Ordinary Differential Equations1
On m-Minimal Partially Hyperbolic Diffeomorphisms1
Nonautonomous Normal Forms with Parameters1
Sequence Asymptotic Average Shadowing Property, Transitivity, and Devaney Chaos in Non-autonomous Discrete Systems1
Unstable Pressure and Thermodynamic Formalism in Partially Hyperbolic Systems1
Some Aspects of Thermodynamic Formalism of Piecewise Smooth Vector Fields1
Limit Cycle Bifurcations Near Nonsmooth Homoclinic Cycle in Discontinuous Systems1
A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming1
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model1
Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$1
Stability of Solutions to Functional KPP-Fisher Equations1
Semigroups Generated in $$L^{p}$$-spaces by Some Dispersal Process Including Semi-Permeability Conditions at the Interface1
Reducibility of Linear Quasi-periodic Hamiltonian Derivative Wave Equations and Half-Wave Equations Under the Brjuno Conditions1
Exponential decay for fractional Schrödinger parabolic problems1
A Sharp Spectral Bandwidth Condition for Differentiable Linearization of Hyperbolic Systems1
Periodic Generalized Birkhoff Solutions and Farey Intervals for Monotone Recurrence Relations1
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