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 2022-08-01 to 2026-08-01.)

Article	Citations
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	67
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	53
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	46
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	45
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	43
Closed 1/2-Elasticae in the 2-Sphere	32
Geometric Methods for Adjoint Systems	28
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	25
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	24
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	24
Stochastic Port-Hamiltonian Systems	22
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	21
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	20
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	20
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	20
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	19
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	19
A Geometric Field Theory of Dislocation Mechanics	18
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	17
Singular Damped Twist Waves in Chromonic Liquid Crystals	17
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	17
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	17
The Kuramoto Model on the Sierpinski Gasket II: Twisted States	16
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	16
Infinite-Dimensional Nonholonomic and Vakonomic Systems	16

Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	15
Multiple Solutions in the Steady Poisson–Nernst–Planck Models of Electrodiffusion	14
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	14
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	14
Forward–Backward Extended DMD with an Asymptotic Stability Constraint	14
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	14
Publisher Correction: The Regularized Visible Fold Revisited	13
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	13
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	13
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	13
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	13
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	13
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	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
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	11
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Spectral Stability of Contact Defects on Large Bounded Domains	10
Stable and Unstable Spatially-Periodic Canards Created in Singular Subcritical Turing Bifurcations in the Brusselator System	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	10
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	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
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	10
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	10
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	9
Global Stability for Compressible Isentropic Navier–Stokes Equations in 3D Bounded Domains with Navier-slip Boundary Conditions	9
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	9
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
High-Fidelity Modeling of Stochastic Chemical Dynamics on Complex Manifolds: A Multiscale SIREN-PINN Framework for the Curvature-Perturbed Ginzburg–Landau Equation	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	9
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	9
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	9
On Properties of Adjoint Systems for Evolutionary PDEs	9
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	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
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	8
Wave Trains in Forced–Damped Diatomic FPU Lattices	8
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	8
Hamiltonian Mechanics and Lie Algebroid Connections	8

Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Long-Time Asymptotics of A Perturbed Modified KdV Equation	8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	8
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation	7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	7
Four Symmetries of the KdV Equation	7
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center	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
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	7
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
A Hybrid Predictor–Corrector Decoupled Method Based on Operator Learning for Solving Interface Problems	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	6
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	6
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Viscous Shock Waves of Burgers Equation with Fast Diffusion and Singularity	6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles	6
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	5
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	5
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	5
Neural Network-Enhanced Integrators for Simulating Ordinary Differential Equations	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	5
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	5
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	5
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	5
Self-Contact Preventing Energy for Tubular Rods	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs	5
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	5
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Evolution of Dispersal in Advective Patchy Environments	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5