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 2021-11-01 to 2025-11-01.)

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	67
Geometric Methods for Adjoint Systems	48
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	42
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	42
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	38
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	34
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	27
Closed 1/2-Elasticae in the 2-Sphere	25
Stochastic Port-Hamiltonian Systems	24
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	23
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	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
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	20
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	18
A Geometric Field Theory of Dislocation Mechanics	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	16
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	15
Singular Damped Twist Waves in Chromonic Liquid Crystals	15
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	14
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	14
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	14
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
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	12
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	12
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	12
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	12
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	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	11
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	11
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	11
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	11
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	11
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	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
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	9
Vortex Pairs and Dipoles on Closed Surfaces	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Microscopical Justification of Solid-State Wetting and Dewetting	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
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
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
Multistability of a Two-Dimensional Map Arising in an Influenza Model	8
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	8
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	8
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	8
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	8
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	8
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
On Properties of Adjoint Systems for Evolutionary PDEs	8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	7
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	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
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	7
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	7
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7

Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	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
Hamiltonian Mechanics and Lie Algebroid Connections	7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	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
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	6
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	5
Evolution of Dispersal in Advective Patchy Environments	5
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	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
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Instability and Nonuniqueness for the b-Novikov Equation	5