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 2022-06-01 to 2026-06-01.)

Article	Citations
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	33
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	15
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	14
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	14
The Number of Relative Equilibria in the PCR4BP	13
On the Existence and Stability of Periodic Solutions for a Bead on a Rotating Circular Hoop	13
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	10
Robustness of the Nonuniform Exponential Trichotomy of Variational Dynamics	10
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	10
Propagation Speed of Degenerate Diffusion Equations with Time Delay	9
Quasi-Stationary Distributions of Absorbed Singular Diffusion Processes in Higher Dimensions	9
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	9
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	8
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	8
Convergence to Traveling Waves for Reaction-Diffusion Systems using Lyapunov Type Arguments	7
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	7
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	7
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	7
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	7
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	7
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	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

Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	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
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
First-time Sensitive Homeomorphisms	5
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
On the Tree Models of Mildly Dissipative Maps	5
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	5
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	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
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
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Global stability for functional differential equations with infinite delay and applications to Hopfield-type neural networks	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
Decomposition of Linear Systems on Disconnected Lie Groups	4
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	4
Ill-Posedness Issues on (abcd)-Boussinesq System	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Dichotomies for Triangular Systems via Admissibility	4
Traveling Wave Solutions for the Generalized Burgers-Fisher Equation	4
Ergodic and Chaotic Properties of the Heat Equation	4
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
The Effect of “Very Fast” Dispersal on Two Species Competition with Drift	4
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	4
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	4
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	3
Gradient Structure of Dynamics for Nonautonomous Cascade Systems	3
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	3
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	3
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	3
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	3
Singular Perturbation in Heavy Ball Dynamics	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	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
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	3

Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	3
Morse Decomposition for Semi-Dynamical Systems with an Application to Systems of State-Dependent Delay Differential Equations	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	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
Preface	3
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data	2
Existence and Spectral Stability of Small-Amplitude Periodic Waves for the 2D Nonlinear Focusing Schrödinger Equation	2
Conditional Lipschitz Shadowing for Ordinary Differential Equations	2
Rivers under Additive Noise	2
The initial value problem for a massless scalar field and N point-charges in one space dimension	2
On the cyclicity of persistent hyperbolic polycycles	2
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	2
Construction of Multi-solitons for a Generalized Derivative Nonlinear Schrödinger Equation	2
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential	2
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	2
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	2
Response Solutions of Quasi-periodically Forced Degenerate Oscillator Equations with Small Parameters	2
Numerical Attractors via Discrete Rough Paths	2
Generalized Bounded Distortion Property	2
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay	2
Refined Asymptotic Expansions of Solutions to Fractional Diffusion Equations	2
On Traveling Fronts of Combustion Equations in Spatially Periodic Media	2
Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces	2
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	2
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	2
A Remark on the Log-Sobolev Inequality for the Gibbs Measure of the Focusing Schrödinger Equation	2
Center Stable Manifolds Around Line Solitary Waves of the Zakharov–Kuznetsov Equation	2
Modified Scattering for the One-Dimensional Schrödinger Equation with a Subcritical Dissipative Nonlinearity	2
Entropy for Three-dimensional Vector Fields	2
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures	2
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	2
Spatial Propagation for an Epidemic Model in a Patchy Environment	2
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs	2
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations	2