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 2021-06-01 to 2025-06-01.)

Article	Citations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	64
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	34
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	22
The Number of Relative Equilibria in the PCR4BP	20
On Relative Metric Mean Dimension with Potential and Variational Principles	19
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram	19
Dynamics of Suspension Bridge Equation with Delay	17
Slow Grow-up in a Quasilinear Keller–Segel System	15
Propagation Speed of Degenerate Diffusion Equations with Time Delay	14
Fast Reaction Limits via $$\Gamma $$-Convergence of the Flux Rate Functional	12
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	12
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	11
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	11
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	10
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	10
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$	10
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	9
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	9
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument	9
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	8
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	8
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	8
Pulsating Waves for a Non-monotone Time-Delayed Lattice Equation in Discrete Periodic Habitat	8
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	8
On Planar Curves with Position-Dependent Curvature	8

The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	7
Hopf Bifurcation in a Reaction–Diffusion–Advection Two Species Model with Nonlocal Delay Effect	7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	7
Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	7
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	7
Secular Dynamics for Curved Two-Body Problems	7
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System	7
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	7
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	6
On the Tree Models of Mildly Dissipative Maps	6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Asymptotic Dynamics of Young Differential Equations	6
First-time Sensitive Homeomorphisms	6
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors	5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	5
Ergodic and Chaotic Properties of the Heat Equation	5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	5
Decomposition of Linear Systems on Disconnected Lie Groups	5
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Dense Short Solution Segments from Monotonic Delayed Arguments	4
Dynamical System Related to Primal–Dual Splitting Projection Methods	4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	4
Symmetric Central Configurations and the Inverse Problem	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Mathematical Analysis of Parabolic Models with Volume-Filling Effect in Weighted Networks	4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	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
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
KAM in Generalized Hamiltonian Systems with Multi-Scales	4
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect	4
Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity	4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
On the Dynamics of Entire Maps with Symmetry	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

Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	3
Multiscale Conditional Shadowing	3
Dichotomies for Triangular Systems via Admissibility	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Propagation Dynamics in a Heterogeneous Reaction-Diffusion System Under a Shifting Environment	3
Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products	3
Equi-Invariability and Bounded Invariance Complexity for Control 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
Preface	3
Correction to: Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	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
Admissibility via Evolution Semigroups	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
Smooth Anosov Katok Diffeomorphisms with Generic Measure	3
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3
Preface to the Special Issue in Memory of Walter Craig	3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	3
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Bifurcation Analysis of a Coupled System Between a Transport Equation and an Ordinary Differential Equation with Time Delay	3
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
Singular Perturbation in Heavy Ball Dynamics	3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition	3
Compactness Properties and General Stability Result for an Abstract Nonlinear Viscoelastic Equation	3
Topological Pressure of Free Semigroup Actions For Non-Compact Sets and Bowen’s Equation, II	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3