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 2022-01-01 to 2026-01-01.)
ArticleCitations
Slow Grow-up in a Quasilinear Keller–Segel System26
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism25
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism18
Dynamics of Suspension Bridge Equation with Delay16
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems13
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources13
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model13
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles10
The Number of Relative Equilibria in the PCR4BP9
Propagation Speed of Degenerate Diffusion Equations with Time Delay9
On Relative Metric Mean Dimension with Potential and Variational Principles9
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales8
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility8
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$8
On Planar Curves with Position-Dependent Curvature8
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation8
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems7
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion7
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem7
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model7
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations7
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians6
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension6
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates6
Decomposition of Linear Systems on Disconnected Lie Groups6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics6
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations6
On the Tree Models of Mildly Dissipative Maps6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces6
First-time Sensitive Homeomorphisms6
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem6
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation6
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory5
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays5
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s5
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent5
Ill-Posedness Issues on (abcd)-Boussinesq System5
Symmetric Central Configurations and the Inverse Problem5
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One5
KAM in Generalized Hamiltonian Systems with Multi-Scales5
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping5
Ergodic and Chaotic Properties of the Heat Equation5
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations5
Exponential Mixing for Heterochaos Baker Maps and the Dyck System4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms4
Smooth Anosov Katok Diffeomorphisms with Generic Measure4
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor4
Admissibility via Evolution Semigroups4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index4
Morse Decomposition for Semi-Dynamical Systems with an Application to Systems of State-Dependent Delay Differential Equations4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise4
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model4
Dichotomies for Triangular Systems via Admissibility4
On the Dynamics of Entire Maps with Symmetry4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion4
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws4
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries4
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity4
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations3
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity3
The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ Separated by a Conic$$\times \mathbb {R}^{n-2}$$3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center3
Equi-Invariability and Bounded Invariance Complexity for Control Systems3
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs3
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation3
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion3
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations3
On Traveling Fronts of Combustion Equations in Spatially Periodic Media3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations3
Preface3
A Note on the Polynomially Attracting Sets for Dynamical Systems3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows3
On the cyclicity of persistent hyperbolic polycycles3
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures3
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential3
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data3
Singular Perturbation in Heavy Ball Dynamics3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems3
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
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics3
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation3
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay3
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation3
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions3
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws3
The Local Variational Principle of Weighted Entropy and Its Applications2
Generalized Bounded Distortion Property2
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters2
Existence and Spectral Stability of Small-Amplitude Periodic Waves for the 2D Nonlinear Focusing Schrödinger Equation2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity2
Dynamics of Infinite Dimensional Lotka–Volterra Operators2
Preface to the Special Issue In Memory of Professor Geneviève Raugel2
Dynamics of a Predator–Prey Model with Memory-Based Diffusion2
Entropy for Three-dimensional Vector Fields2
Stability of Periodic Peakons for a Nonlinear Quartic $$\mu $$-Camassa–Holm Equation2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations2
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
Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: New Phenomena from a Case Study2
Non-existence of Solutions for a Non-Gaussian Equation in Fractional Time with Osgood Type Non-linearity2
The Stability Region for Schur Stable Trinomials with General Complex Coefficients2
Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions2
Rivers under Additive Noise2
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay2
Numerical Attractors via Discrete Rough Paths2
Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces2
Spatial Propagation for an Epidemic Model in a Patchy Environment2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations2
The initial value problem for a massless scalar field and N point-charges in one space dimension2
Conditional Lipschitz Shadowing for Ordinary Differential Equations2
A Note on Logarithmic Mean Equicontinuity2
A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming2
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations1
Unstable Pressure and Thermodynamic Formalism in Partially Hyperbolic Systems1
Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations1
Rigidity and Absolute Continuity of Foliations of Anosov Endomorphisms1
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs1
Stable Periodic Orbits for Delay Differential Equations with Unimodal Feedback1
The 3D Nonlinear Schrödinger Equation with a Constant Magnetic Field Revisited1
Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems1
Traveling Phase Interfaces in Viscous Forward–Backward Diffusion Equations1
Preface to the Special Issue in Memory of Professor Russell A. Johnson1
On m-Minimal Partially Hyperbolic Diffeomorphisms1
Divergence Free Functions in a Problem of the Flow Between a Fixed Inner Pipe and an Outer Pipe with a Moving Boundary1
The Modified Korteweg-de Vries System on the Half-Line1
Invariant Manifolds for a PDE-ODE Coupled System1
Asymptotic Dynamics of a Three-Species Hybrid Competition System1
Some Aspects of Thermodynamic Formalism of Piecewise Smooth Vector Fields1
Shadowing for Local Homeomorphisms, with Applications to Edge Shift Spaces of Infinite Graphs1
Quasi-periodic Solutions for Completely Resonant Quintic Beam Equations1
Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity1
A Lagrangian–Eulerian Method on Regular Triangular Grids for Hyperbolic Problems: Error Estimates for the Scalar Case and a Positive Principle for Multidimensional Systems1
Reaction–Diffusion Problems on Time-Periodic Domains1
Propagation Dynamics of Asymptotically Smooth Monotone Systems1
Reducibility of Linear Quasi-periodic Hamiltonian Derivative Wave Equations and Half-Wave Equations Under the Brjuno Conditions1
Nonautonomous Normal Forms with Parameters1
Weak Mean Equicontinuity for a Countable Discrete Amenable Group Action1
Periodic Center Manifolds for DDEs in the Light of Suns and Stars1
Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability1
Learning Dynamics by Reservoir Computing (In Memory of Prof. Pavol Brunovský)1
The Exponential of the Lattice Laplacian Operator and the Mean-Square Attractor of A Stochastic Lattice System1
Reducibility of 1-D Quantum Harmonic Oscillator with New Unbounded Oscillatory Perturbations1
Synchronization and Random Attractors in Reaction Jump Processes1
Stability of Some Anticipating Semilinear Stochastic Differential Equations of Skorohod Type1
Stochastic Wasserstein Hamiltonian Flows1
Semigroups Generated in $$L^{p}$$-spaces by Some Dispersal Process Including Semi-Permeability Conditions at the Interface1
Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations1
Exponential decay for fractional Schrödinger parabolic problems1
Well-Posedness Properties for a Stochastic Rotating Shallow Water Model1
Infinite Frequency Oscillations in a Class of Discontinuous Equations with a Variable Delay1
On Coupling Lemma and Stochastic Properties with Unbounded Observables for 1-d Expanding Maps1
The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations1
The Dynamics of a Nonlocal Dispersal Logistic Model with Seasonal Succession and Free Boundaries1
Asymptotic Stability of Fast Solitary Waves to the Benjamin Equation1
Traveling Wavefronts to a Model of Precursor and Differentiated Cells: Impacting Parameter-Structure Transition from Monostable to Bistable, and from Monotone to Non-monotone1
Sequence Asymptotic Average Shadowing Property, Transitivity, and Devaney Chaos in Non-autonomous Discrete Systems1
Intra- and Inter-Specific Competitions of Two Stage-Structured Species in a Patchy Environment1
Delay-Difference Equations and Stability1
Propagation Phenomena for a Nonlocal Dispersal Three Species Predator–Prey System in Shifting Habitats1
KAM Tori for the System of Coupled Quantum Harmonic Oscillators with Reversible Perturbations1
Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment1
Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations1
Stability of Solutions to Functional KPP-Fisher Equations1
Periodic Solutions in Slowly Varying Discontinuous Differential Equations: A Non-Generic Case1
Rayleigh–Bénard Convection with Stochastic Forcing Localised Near the Bottom1
Oblique and Checkerboard Patterns in the Quenched Cahn–Hilliard Model1
Forced Frequency Locking for Semilinear Dissipative Hyperbolic PDEs1
On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates1
Building Expansion for Generalizations of Viana Maps1
Stabilization of a Semilinear Wave Equation with Delay1
Blowing-Up Asymptotically Autonomous Planar Vector Fields: Infinite Delay Equations and Invariant Manifolds1
Propagation Phenomena for a Nonlocal Dispersal Lotka–Volterra Competition Model in Shifting Habitats1
Density-Equicontinuity and Density-Sensitivity of Discrete Amenable Group Actions1
A Simple Approach to Stability of Semi-wavefronts in Parabolic-Difference Systems1
Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations1
Global Stability in a Two-species Attraction–Repulsion System with Competitive and Nonlocal Kinetics1
A Sharp Spectral Bandwidth Condition for Differentiable Linearization of Hyperbolic Systems1
Uniform Stability for a Semilinear Laminated Timoshenko Beams Posed in Inhomogeneous Medium with Localized Nonlinear Damping1
Linearization Method and Sharp Thresholds for Radially Symmetric Multidimensional Pressureless Euler-Poisson Equations1
Bifurcations and Early-Warning Signs for SPDEs with Spatial Heterogeneity1
Pinsker $$\sigma $$-Algebra Character and Mean Li–Yorke Chaos1
Asymptotic Regimes of an Integro-Difference Equation with Discontinuous Kernel1
A Discrete Data Assimilation Algorithm for the Three Dimensional Planetary Geostrophic Equations of Large-Scale Ocean Circulation1
Data-Driven Computational Methods for Quasi-Stationary Distribution and Sensitivity Analysis1
The Cutoff Phenomenon in Wasserstein Distance for Nonlinear Stable Langevin Systems with Small Lévy Noise1
Stability of stationary solutions to the inflow problem for the bipolar quantum Navier-Stokes-Poisson system1
Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms1
Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$1
Effects of Degenerate Bifurcations and their Applications to a Holling-Type II Predator–Prey System1
Limit Cycle Bifurcations Near Nonsmooth Homoclinic Cycle in Discontinuous Systems1
Periodic Generalized Birkhoff Solutions and Farey Intervals for Monotone Recurrence Relations1
Block Regularisation of the Logarithm Central Force Problem1
Well-Posedness and Singularity Formation for the Kolmogorov Two-Equation Model of Turbulence in 1-D1
On Averaging and Mixing for Stochastic PDEs1
Asymptotic Behaviour of the Eenergy to the Viscoelastic Wave Equation with Localized Hereditary Memory and Supercritical Source Term1
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