OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Dynamics and Differential Equations is 3. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	34
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	25
Dynamics of Suspension Bridge Equation with Delay	20
The Number of Relative Equilibria in the PCR4BP	19
Slow Grow-up in a Quasilinear Keller–Segel System	16
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram	16
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	13
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	12
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	11
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	11
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	10
Propagation Speed of Degenerate Diffusion Equations with Time Delay	9
On Relative Metric Mean Dimension with Potential and Variational Principles	9
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	8
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	8
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument	8
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 Scales	8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	8
On Planar Curves with Position-Dependent Curvature	7
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	7
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	7
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	7

The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	7
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	6
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	6
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	6
Asymptotic Dynamics of Young Differential Equations	6
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
First-time Sensitive Homeomorphisms	6
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	6
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
Decomposition of Linear Systems on Disconnected Lie Groups	5
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	5
Ergodic and Chaotic Properties of the Heat Equation	5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	5
On the Tree Models of Mildly Dissipative Maps	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors	5
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations	4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	4
Ill-Posedness Issues on (abcd)-Boussinesq System	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect	4
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems	4
On the Dynamics of Entire Maps with Symmetry	4
Dynamical System Related to Primal–Dual Splitting Projection Methods	4
KAM in Generalized Hamiltonian Systems with Multi-Scales	4
Symmetric Central Configurations and the Inverse Problem	4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	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
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	4
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	3
Multiscale Conditional Shadowing	3
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	3

Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay	3
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	3
Dichotomies for Triangular Systems via Admissibility	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
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	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
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	3
Preface	3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
Correction to: Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Smooth Anosov Katok Diffeomorphisms with Generic Measure	3
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	3
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	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
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	3
Singular Perturbation in Heavy Ball Dynamics	3
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3
Equi-Invariability and Bounded Invariance Complexity for Control Systems	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Admissibility via Evolution Semigroups	3