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 2021-09-01 to 2025-09-01.)

Article	Citations
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	36
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	20
Dynamics of Suspension Bridge Equation with Delay	19
Nonautonomous Perturbations of Morse–Smale Semigroups: Stability of the Phase Diagram	16
The Number of Relative Equilibria in the PCR4BP	16
Slow Grow-up in a Quasilinear Keller–Segel System	14
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	13
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	12
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	12
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	11
Propagation Speed of Degenerate Diffusion Equations with Time Delay	10
On Relative Metric Mean Dimension with Potential and Variational Principles	9
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	8
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	8
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	8
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on $${\mathbb {R}}$$	8
A Fixed Point Approach to Simulation of Functional Differential Equations with a Delayed Argument	8
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	7
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	7
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 Coefficients	7
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	7
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	7
On Planar Curves with Position-Dependent Curvature	7

Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	6
Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	6
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	6
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	6
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
First-time Sensitive Homeomorphisms	6
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
On the Tree Models of Mildly Dissipative Maps	5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	5
Decomposition of Linear Systems on Disconnected Lie Groups	5
Asymptotic Dynamics of Young Differential Equations	5
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	5
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	5
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	5
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
Ergodic and Chaotic Properties of the Heat Equation	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	4
Ill-Posedness Issues on (abcd)-Boussinesq System	4
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	4
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	4
Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	4
On the Dynamics of Entire Maps with Symmetry	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Symmetric Central Configurations and the Inverse Problem	4
Behavior and Stability of Steady-State Solutions of Nonlinear Boundary Value Problems with Nonlocal Delay Effect	4
KAM in Generalized Hamiltonian Systems with Multi-Scales	4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations	4
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
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	4
Dynamical System Related to Primal–Dual Splitting Projection Methods	4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Equi-Invariability and Bounded Invariance Complexity for Control Systems	3

Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition	3
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	3
Dichotomies for Triangular Systems via Admissibility	3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	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
Admissibility via Evolution Semigroups	3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	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
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	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
Preface	3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Singular Perturbation in Heavy Ball Dynamics	3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	3
Multiscale Conditional Shadowing	3
New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems	3