OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Nonlinear Science is 4. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	61
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	46
Closed 1/2-Elasticae in the 2-Sphere	41
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	37
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	36
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	36
Stochastic Port-Hamiltonian Systems	29
Geometric Methods for Adjoint Systems	26
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	22
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	20
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	20
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	20
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	20
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	18
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	18
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	18
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	17
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	16
Publisher Correction: The Regularized Visible Fold Revisited	16
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	16
A Geometric Field Theory of Dislocation Mechanics	16
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	15
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	14
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	14
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	14

A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	14
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	14
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	13
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	13
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	12
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	12
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	12
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	12
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	11
Vortex Pairs and Dipoles on Closed Surfaces	11
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	11
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	11
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	11
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	11
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	11
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	11
Microscopical Justification of Solid-State Wetting and Dewetting	10
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Spectral Stability of Contact Defects on Large Bounded Domains	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	9
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	8
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
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	8
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory	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
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	8
Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres	8
On Properties of Adjoint Systems for Evolutionary PDEs	7
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	7
Hamiltonian Mechanics and Lie Algebroid Connections	7
Multistability of a Two-Dimensional Map Arising in an Influenza Model	7
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	7
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	7
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	6

An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	6
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	6
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
Four Symmetries of the KdV Equation	6
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Cavity Volume and Free Energy in Many-Body Systems	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	5
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	5
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	5
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	5
Instability and Nonuniqueness for the b-Novikov Equation	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	5
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	5
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	4
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	4
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	4
There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	4
Transverse Instability of Concentric Water Waves	4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness	4
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	4
Self-Contact Preventing Energy for Tubular Rods	4
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	4
Evolution of Dispersal in Advective Patchy Environments	4
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	4
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	4
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	4
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	4
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	4
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	4
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	4
The Dynamics of Periodic Traveling Interfacial Electrohydrodynamic Waves: Bifurcation and Secondary Bifurcation	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation	4
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	4
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	4
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	4