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 2021-11-01 to 2025-11-01.)

Article	Citations
Slow Grow-up in a Quasilinear Keller–Segel System	23
Global Well-Posedness to the n-Dimensional Compressible Oldroyd-B Model Without Damping Mechanism	22
Partial Frequency and Frequency Ratio in Multiscale KAM Formulism	16
Dynamics of Suspension Bridge Equation with Delay	14
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	12
Propagation Speed of Degenerate Diffusion Equations with Time Delay	9
Persistence of $$C^1$$ Inertial Manifolds Under Small Random Perturbations	8
On Relative Metric Mean Dimension with Potential and Variational Principles	8
Entropy Spectrum of Lyapunov Exponents for Typical Cocycles	8
Nonlocal Competition and Spatial Multi-peak Periodic Pattern Formation in Diffusive Holling-Tanner Predator-prey Model	8
The Number of Relative Equilibria in the PCR4BP	8
Steady-State Bifurcation and Hopf Bifurcation in a Reaction–Diffusion–Advection System with Delay Effect	8
Criterion for Exponential Dichotomy of Periodic Generalized Linear Differential Equations and an Application to Admissibility	7
The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in $$\pmb {\mathbb {R}}^n$$	7
The Linear Stability of the Two-dimensional Plasma-vacuum Interface Problem	6
Nearly-Optimal Effective Stability Estimates Around Diophantine Tori of Hölder Hamiltonians	6
Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics	6
Optimal Hölder-Regularities of Global Solutions to the Semilinear Heat Equation	6
Global Stability of Sharp Traveling Waves for Combustion Model with Degenerate Diffusion	6
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate	6
The Existence of Almost Periodic Response Solutions for Superlinear Duffing’s Equations	6
Dynamics of Interacting Monomial Scalar Field Potentials and Perfect Fluids	6
First-time Sensitive Homeomorphisms	6

Measure and Statistical Attractors for Nonautonomous Dynamical Systems	6
Normal Forms, Holomorphic Linearization and Generic Bifurcations of Dynamic Equations on Discrete Time Scales	6
Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting	6
The Maslov Index, Degenerate Crossings and the Stability of Pulse Solutions to the Swift-Hohenberg equation	6
On Planar Curves with Position-Dependent Curvature	6
Lyapunov Exponents, Kaplan–Yorke Formulas and Dimensions of Attractors for Delay Systems in Banach Spaces	6
On the Tree Models of Mildly Dissipative Maps	6
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients	6
On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	6
Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension	5
Global Dynamics of Two-species Lotka-Volterra Competition-diffusion-advection System with General Carrying Capacities and Intrinsic Growth Rates	5
On the Formation of Singularities for the Slightly Supercritical NLS Equation with Nonlinear Damping	5
Decomposition of Linear Systems on Disconnected Lie Groups	5
Asymptotic Dynamics of Young Differential Equations	5
Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem	5
Stability Analysis of Random Attractors for Stochastic Modified Swift–Hohenberg Equations with Delays	5
Graded Differential Vector Spaces, Cartan–Eilenberg Systems and Conjectures in Conley Index Theory	5
An Optimal Halanay Inequality and Decay Rate of Solutions to Some Classes of Nonlocal Functional Differential Equations	5
Sufficient Conditions for the Existence and Uniqueness of Maximal Attractors for Autonomous and Nonautonomous Dynamical Systems	5
Ergodic and Chaotic Properties of the Heat Equation	5
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent	5
Boundedness and Stabilization in a Stage-Structured Predator–Prey Model with Two Taxis Mechanisms	4
Enhanced Dissipation for Stochastic Navier–Stokes Equations with Transport Noise	4
Spreading Speed and Profile for the Lotka–Volterra Competition Model with Two Free Boundaries	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
Threshold Dynamics for a Class of Time-Delayed Reaction Diffusion Equations in a Periodic Shifting Habitat	4
Synchronous and Asynchronous Solutions for Some Nonlocal Dispersal Equations	4
Symmetric Central Configurations and the Inverse Problem	4
On the Dynamics of Entire Maps with Symmetry	4
Dichotomies for Triangular Systems via Admissibility	4
Lagrangian-Eulerian Approach for Nonlocal Conservation Laws	4
Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations	4
Smooth Anosov Katok Diffeomorphisms with Generic Measure	4
Exponential Mixing for Heterochaos Baker Maps and the Dyck System	4
Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity	4
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
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion	4
Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index	4
Multiscale Conditional Shadowing	4
Dynamical System Related to Primal–Dual Splitting Projection Methods	4
$$C^{\infty }$$-Regularization by Noise of Singular ODE’s	4
KAM in Generalized Hamiltonian Systems with Multi-Scales	4
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation	4
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
On the Cauchy Problem for a Two-component Peakon System With Cubic Nonlinearity	3
A Class of Symmetric Dziobek Configurations in Restricted Problems for Homogeneous Force Laws	3
Front Profile in Time Backward for the Bistable Reaction-Diffusion Equation on Metric Graphs	3

Equi-Invariability and Bounded Invariance Complexity for Control Systems	3
Preface	3
Well-Posedness of a Model Equation for Water Waves in Fluids with Odd Viscosity	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
Admissibility via Evolution Semigroups	3
Singular Perturbation in Heavy Ball Dynamics	3
Solvability of Some Systems of Non-Fredholm Integro-Differential Equations with Mixed Diffusion	3
Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations	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
Propagation Phenomena for a Discrete Diffusive Predator–Prey Model in a Shifting Habitat	3
Robust Exponential Mixing and Convergence to Equilibrium for Singular-Hyperbolic Attracting Sets	3
Correction to: Measure and Statistical Attractors for Nonautonomous Dynamical Systems	3
Long Term Behavior of 2D and 3D Non-autonomous Random Convective Brinkman–Forchheimer Equations Driven by Colored Noise	3
Unstable Ground State and Blow Up Result of Nonlocal Klein–Gordon Equations	3
The Integral Manifolds of the 4 Body Problem with Equal Masses: Bifurcations at Infinity	3
The Hopf Bifurcation Theorem in Hilbert Spaces for Abstract Semilinear Equations	3
Scattering and Minimization Theory for Cubic Inhomogeneous Nls with Inverse Square Potential	3
Geometric Structure of the Traveling Waves for 1D Degenerate Parabolic Equation	3
Threshold Dynamics for Infection Age-Structured Epidemic Models with Spatial Diffusion and Degenerate Diffusion	3
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations	3
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model	3
Topological Entropy and Metric Entropy for Regular Impulsive Semiflows	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
Polynomial Rate of Mixing for the Heterochaos Baker Maps with Mostly Neutral Center	3