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

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	49
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	46
Geometric Methods for Adjoint Systems	46
Closed 1/2-Elasticae in the 2-Sphere	39
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	36
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	29
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	25
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	24
Stochastic Port-Hamiltonian Systems	24
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	22
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	22
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	21
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	21
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	19
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
Singular Damped Twist Waves in Chromonic Liquid Crystals	18
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	16
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	16
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	15
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	14
A Geometric Field Theory of Dislocation Mechanics	14
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	13
Publisher Correction: The Regularized Visible Fold Revisited	13

Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	13
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	13
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	12
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	12
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	12
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	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
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	12
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	11
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	11
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	11
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	11
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
Vortex Pairs and Dipoles on Closed Surfaces	10
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
Spectral Stability of Contact Defects on Large Bounded Domains	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	9
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	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
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	9
Microscopical Justification of Solid-State Wetting and Dewetting	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	8
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	8
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Multistability of a Two-Dimensional Map Arising in an Influenza Model	8
On Properties of Adjoint Systems for Evolutionary PDEs	8
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	8
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	8
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	8
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	7

Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
Hamiltonian Mechanics and Lie Algebroid Connections	7
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	7
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	7
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Four Symmetries of the KdV Equation	6
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	6
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	6
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	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
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	5
Instability and Nonuniqueness for the b-Novikov Equation	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	5
Evolution of Dispersal in Advective Patchy Environments	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	5
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	5