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 2022-05-01 to 2026-05-01.)

Article	Citations
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	59
Geometric Methods for Adjoint Systems	53
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	46
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	39
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	36
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	33
Stochastic Port-Hamiltonian Systems	31
Closed 1/2-Elasticae in the 2-Sphere	27
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	24
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	24
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	24
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	23
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
A Geometric Field Theory of Dislocation Mechanics	17
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	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	15
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	15
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	15
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	15
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	14
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	14
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	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
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	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
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	13
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	12
Publisher Correction: The Regularized Visible Fold Revisited	12
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	12
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	12
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	11
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	11
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	11
Spectral Stability of Contact Defects on Large Bounded Domains	11
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	11
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	11
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	11
Forward–Backward Extended DMD with an Asymptotic Stability Constraint	11
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	11
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Vortex Pairs and Dipoles on Closed Surfaces	10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	10
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	10
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	9
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	9
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	9
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	9
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	9
On Properties of Adjoint Systems for Evolutionary PDEs	9
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	9
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	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
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	8
Long-Time Asymptotics of A Perturbed Modified KdV Equation	8
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	8
Hamiltonian Mechanics and Lie Algebroid Connections	8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	8
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	8
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	8
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles	8

Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	8
Four Symmetries of the KdV Equation	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
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	7
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center	7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	7
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	7
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	7
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation	6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles	6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	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
Instability and Nonuniqueness for the b-Novikov Equation	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	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
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	6
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Self-Contact Preventing Energy for Tubular Rods	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	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
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Evolution of Dispersal in Advective Patchy Environments	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	5
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	5