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

Article	Citations
Slow Grow-up in a Quasilinear Keller–Segel System	26
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	25
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	18
Dynamics of Suspension Bridge Equation with Delay	16
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	13
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	13
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	13
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	10
On Relative Metric Mean Dimension with Potential and Variational Principles	9
The Number of Relative Equilibria in the PCR4BP	9
Propagation Speed of Degenerate Diffusion Equations with Time Delay	9
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	8
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	8
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	8
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	8
On Planar Curves with Position-Dependent Curvature	8
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	7
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	7
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	7
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	7

The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	7
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	6
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	6
Decomposition of Linear Systems on Disconnected Lie Groups	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	6
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	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
First-time Sensitive Homeomorphisms	6
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	6
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	6
Ergodic and Chaotic Properties of the Heat Equation	5
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	5
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	5
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	5
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	5
Ill-Posedness Issues on (abcd)-Boussinesq System	5
Symmetric Central Configurations and the Inverse Problem	5
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	5
KAM in Generalized Hamiltonian Systems with Multi-Scales	5
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	5
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	4
Admissibility via Evolution Semigroups	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Morse Decomposition for Semi-Dynamical Systems with an Application to Systems of State-Dependent Delay Differential Equations	4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	4
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	4
Dichotomies for Triangular Systems via Admissibility	4
On the Dynamics of Entire Maps with Symmetry	4
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	4
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	4
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	4
Preface	3
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions	3
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	3
Singular Perturbation in Heavy Ball Dynamics	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
Equi-Invariability and Bounded Invariance Complexity for Control 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
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation	3
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	3
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	3
On Traveling Fronts of Combustion Equations in Spatially Periodic Media	3
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	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
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	3
On the cyclicity of persistent hyperbolic polycycles	3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures	3
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential	3
Global Well-Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	3
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	3