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 2021-06-01 to 2025-06-01.)

Article	Citations
Closed 1/2-Elasticae in the 2-Sphere	57
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	45
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	40
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	35
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	33
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	33
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	32
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	27
Geometric Methods for Adjoint Systems	24
Stochastic Port-Hamiltonian Systems	22
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	20
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	20
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	20
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	18
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	18
A Geometric Field Theory of Dislocation Mechanics	18
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	17
Publisher Correction: The Regularized Visible Fold Revisited	17
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	17
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	16
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	16
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	16
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	15
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	14
Travelling Waves for the Brio System	14

Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	14
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	14
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	13
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	13
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	13
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	12
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	11
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	11
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	11
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	11
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	11
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	10
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	10
Localised Radial Patterns on the Free Surface of a Ferrofluid	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Vortex Pairs and Dipoles on Closed Surfaces	10
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	9
Microscopical Justification of Solid-State Wetting and Dewetting	9
On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
Spectral Stability of Contact Defects on Large Bounded Domains	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	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
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	8
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	8
Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory	8
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	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
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Multistability of a Two-Dimensional Map Arising in an Influenza Model	7
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	7
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	7
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	7
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Hamiltonian Mechanics and Lie Algebroid Connections	7
On Properties of Adjoint Systems for Evolutionary PDEs	7
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	7
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	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
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	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
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
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	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
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
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	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
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	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
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	5
Cavity Volume and Free Energy in Many-Body Systems	5
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	5
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	5
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	4
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	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
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	4
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	4
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	4
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	4
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	4
Self-Contact Preventing Energy for Tubular Rods	4
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	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
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	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
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	4
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	4
Evolution of Dispersal in Advective Patchy Environments	4
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	4