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 2022-08-01 to 2026-08-01.)

Article	Citations
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	15
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	14
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	14
The Number of Relative Equilibria in the PCR4BP	11
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	11
On the Existence and Stability of Periodic Solutions for a Bead on a Rotating Circular Hoop	11
Quasi-Stationary Distributions of Absorbed Singular Diffusion Processes in Higher Dimensions	10
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	10
Robustness of the Nonuniform Exponential Trichotomy of Variational Dynamics	9
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	9
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	9
Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space	9
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	8
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	8
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	7
Convergence to Traveling Waves for Reaction-Diffusion Systems using Lyapunov Type Arguments	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Zero Noise Limit for Multidimensional SDEs Driven by a Pointy Gradient	6
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	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
First-time Sensitive Homeomorphisms	5
Traveling Wave Solutions for the Generalized Burgers-Fisher Equation	5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	5
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	4
Ergodic and Chaotic Properties of the Heat Equation	4
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Dichotomies for Triangular Systems via Admissibility	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Global stability for functional differential equations with infinite delay and applications to Hopfield-type neural networks	4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	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
Morse Decomposition for Semi-Dynamical Systems with an Application to Systems of State-Dependent Delay Differential Equations	4
Decomposition of Linear Systems on Disconnected Lie Groups	4
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	4
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	3
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	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
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Singular Perturbation in Heavy Ball Dynamics	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	3
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	3
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	3
Preface	3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Compressible Euler Equations with Transport Noise	3
Gradient Structure of Dynamics for Nonautonomous Cascade Systems	3
The Effect of “Very Fast” Dispersal on Two Species Competition with Drift	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation	3

Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs	2
Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces	2
On the effect of randomization on supercritical heat equations	2
Spatial Propagation for an Epidemic Model in a Patchy Environment	2
Non-existence of Solutions for a Non-Gaussian Equation in Fractional Time with Osgood Type Non-linearity	2
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	2
Numerical Attractors via Discrete Rough Paths	2
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	2
The initial value problem for a massless scalar field and N point-charges in one space dimension	2
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures	2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations	2
Sharp Threshold Dynamics for a Bistable Age-Structured Population Model	2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters	2
Dynamics of a Predator–Prey Model with Memory-Based Diffusion	2
Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation	2
Entropy for Three-dimensional Vector Fields	2
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential	2
Generalized Bounded Distortion Property	2
On the cyclicity of persistent hyperbolic polycycles	2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation	2
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	2
Conditional Lipschitz Shadowing for Ordinary Differential Equations	2
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	2
Asymptotic Dynamics and Continuity of Exponential Attractors for a Generalized Nonautonomous Second-Order Equation	2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations	2
Existence and Spectral Stability of Small-Amplitude Periodic Waves for the 2D Nonlinear Focusing Schrödinger Equation	2
Rivers under Additive Noise	2
On Traveling Fronts of Combustion Equations in Spatially Periodic Media	2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity	2
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	2
A Remark on the Log-Sobolev Inequality for the Gibbs Measure of the Focusing Schrödinger Equation	2
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data	2