OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Dynamics and Differential Equations is 2. 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 2021-05-01 to 2025-05-01.)

Article	Citations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	59
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	31
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	21
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$	19
On Relative Metric Mean Dimension with Potential and Variational Principles	18
The Number of Relative Equilibria in the PCR4BP	18
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram	17
Dynamics of Suspension Bridge Equation with Delay	14
Propagation Speed of Degenerate Diffusion Equations with Time Delay	12
Slow Grow-up in a Quasilinear Keller–Segel System	12
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	10
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	9
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	9
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional	9
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	9
On the Motion of a Compressible Viscous Fluid Driven by Time Periodic Inflow/Outflow Boundary Conditions	8
Pulsating Waves for a Non-monotone Time-Delayed Lattice Equation in Discrete Periodic Habitat	8
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument	8
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	8
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	8
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	8
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	7
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	7

On Planar Curves with Position-Dependent Curvature	7
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	7
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	7
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	7
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Secular Dynamics for Curved Two-Body Problems	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
First-time Sensitive Homeomorphisms	6
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise	6
Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect	6
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	6
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	6
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	5
On the Tree Models of Mildly Dissipative Maps	5
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect	5
Asymptotic Dynamics of Young Differential Equations	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors	5
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
Ergodic and Chaotic Properties of the Heat Equation	5
Symmetric Central Configurations and the Inverse Problem	4
On the Dynamics of Entire Maps with Symmetry	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations	4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
Mathematical Analysis of Parabolic Models with Volume-Filling Effect in Weighted Networks	4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Dynamical System Related to Primal–Dual Splitting Projection Methods	4
KAM in Generalized Hamiltonian Systems with Multi-Scales	4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	4
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	4
Decomposition of Linear Systems on Disconnected Lie Groups	4
Ill-Posedness Issues on (abcd)-Boussinesq System	4
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity	4
Dense Short Solution Segments from Monotonic Delayed Arguments	4
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	4
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3
Equi-Invariability and Bounded Invariance Complexity for Control Systems	3

Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay	3
Compactness Properties and General Stability Result for an Abstract Nonlinear Viscoelastic Equation	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Preface to the Special Issue in Memory of Walter Craig	3
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	3
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay	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
Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products	3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations	3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Preface	3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Smooth Anosov Katok Diffeomorphisms with Generic Measure	3
Admissibility via Evolution Semigroups	3
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 Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Topological Pressure of Free Semigroup Actions For Non-Compact Sets and Bowen’s Equation, II	3
Multiscale Conditional Shadowing	3
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	3
Dichotomies for Triangular Systems via Admissibility	3
Correction to: Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities	3
Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation	2
Normal Forms for Equivariant Differential Equations	2
Response Solutions for Wave Equations with Variable Wave Speed and Periodic Forcing	2
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	2
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs	2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation	2
Singular Perturbation in Heavy Ball Dynamics	2
Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: New Phenomena from a Case Study	2
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	2
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	2
On Traveling Fronts of Combustion Equations in Spatially Periodic Media	2
Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable	2
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation	2
Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay	2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations	2
Generalized Bounded Distortion Property	2
Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone	2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters	2
Existence of a Global Attractor for the Heat Equation with Degenerate Memory	2
Discontinuous Solutions of Hamilton–Jacobi Equations Versus Radon Measure-Valued Solutions of Scalar Conservation Laws: Disappearance of Singularities	2
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	2
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions	2
On the Existence of N-Junctions for a Symmetric Nonnegative Potential with $$N+1$$ Zeros	2
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	2
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	2
The Persistence of Degenerate Lower-Dimensional Tori in Reversible Systems with a Degenerate Normal Equilibrium Point	2
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay	2
The Local Variational Principle of Weighted Entropy and Its Applications	2
Numerical Attractors via Discrete Rough Paths	2
Spatial Propagation for an Epidemic Model in a Patchy Environment	2
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	2
Bifurcations in Nagumo Equations on Graphs and Fiedler Vectors	2
Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis	2
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential	2
Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces	2
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data	2
At Most Two Periodic Solutions for a Switching Mosquito Population Suppression Model	2
Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels	2
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	2
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation	2
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	2
On the jth Eigenvalue of Sturm–Liouville Problem and the Maslov Index	2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity	2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations	2