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 2021-12-01 to 2025-12-01.)

Article	Citations
Slow Grow-up in a Quasilinear Keller–Segel System	25
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	22
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	18
Dynamics of Suspension Bridge Equation with Delay	15
Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources	13
Global Strong Solution and Periodic Dynamic Behavior to Chaplain–Lolas Model	13
The Reduction, First Integral and Kam Tori for n-Dimensional Volume-Preserving Systems	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
On Planar Curves with Position-Dependent Curvature	8
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	8
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	8
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	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
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	8
Propagation Speed of Degenerate Diffusion Equations with Time Delay	8
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
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	7
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	7
Measure and Statistical Attractors for Nonautonomous Dynamical Systems	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	6

The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	6
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	6
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	6
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	6
First-time Sensitive Homeomorphisms	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	5
Ergodic and Chaotic Properties of the Heat Equation	5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	5
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	5
On the Tree Models of Mildly Dissipative Maps	5
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	5
KAM in Generalized Hamiltonian Systems with Multi-Scales	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Decomposition of Linear Systems on Disconnected Lie Groups	5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	5
Ill-Posedness Issues on (abcd)-Boussinesq System	5
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Symmetric Central Configurations and the Inverse Problem	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor	4
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	4
On the Dynamics of Entire Maps with Symmetry	4
On the Failure of Linearization for Germs of $$C^1$$ Hyperbolic Vector Fields in Dimension One	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Dichotomies for Triangular Systems via Admissibility	4
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	4
Morse Decomposition for Semi-Dynamical Systems with an Application to Systems of State-Dependent Delay Differential Equations	4
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	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
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	4
Transverse Homoclinic Points for the Principal Fixed Point of the Standard Map	4
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	4
A Note on the Polynomially Attracting Sets for Dynamical Systems	3
Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions	3
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	3
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	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
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3

Admissibility via Evolution Semigroups	3
Vanishing-Spreading Dichotomy in a Two-Species Chemotaxis Competition System with a Free Boundary	3
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	3
Semiflows Strongly Focusing Monotone with Respect to High-Rank Cones: I. Generic Dynamics	3
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	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
Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	3
Singular Perturbation in Heavy Ball Dynamics	3
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures	3
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3
On Traveling Fronts of Combustion Equations in Spatially Periodic Media	3
Instability of $$H^1$$-stable Periodic Peakons for the $$\mu $$-Camassa-Holm Equation	3
Equi-Invariability and Bounded Invariance Complexity for Control Systems	3
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	3
Local Well-Posedness of the Nonlinear Wave System Near a Space Corner of Right Angle	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