OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Nonlinear Science is 5. 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
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	61
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	47
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	40
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	38
Closed 1/2-Elasticae in the 2-Sphere	37
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	31
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	27
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	24
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	24
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	24
Geometric Methods for Adjoint Systems	24
Stochastic Port-Hamiltonian Systems	21
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	20
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	17
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	17
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	17
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	16
A Geometric Field Theory of Dislocation Mechanics	16
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	16
Singular Damped Twist Waves in Chromonic Liquid Crystals	16
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	16
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	15
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	15

Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	14
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	14
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	14
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	14
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	14
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	14
Forward–Backward Extended DMD with an Asymptotic Stability Constraint	14
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	13
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	12
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	12
Multiple Solutions in the Steady Poisson–Nernst–Planck Models of Electrodiffusion	12
Publisher Correction: The Regularized Visible Fold Revisited	12
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	12
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	11
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	11
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	11
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	11
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	10
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	10
Spectral Stability of Contact Defects on Large Bounded Domains	10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	10
Vortex Pairs and Dipoles on Closed Surfaces	10
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	10
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	9
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	9
Stable and Unstable Spatially-Periodic Canards Created in Singular Subcritical Turing Bifurcations in the Brusselator System	9
On Properties of Adjoint Systems for Evolutionary PDEs	9
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	8
Hamiltonian Mechanics and Lie Algebroid Connections	8
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	8
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	8
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	8
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	8
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	8

Long-Time Asymptotics of A Perturbed Modified KdV Equation	8
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	7
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	7
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Four Symmetries of the KdV Equation	7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	7
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation	7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	7
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	6
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation	6
Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
A Hybrid Predictor–Corrector Decoupled Method Based on Operator Learning for Solving Interface Problems	6
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center	6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	6
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	5
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	5
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	5
Self-Contact Preventing Energy for Tubular Rods	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Evolution of Dispersal in Advective Patchy Environments	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	5
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs	5
There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	5
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	5
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5