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

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	51
Geometric Methods for Adjoint Systems	50
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	46
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	41
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	37
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	29
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	27
Closed 1/2-Elasticae in the 2-Sphere	26
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	24
Stochastic Port-Hamiltonian Systems	22
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	22
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	22
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	19
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	19
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
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
Singular Damped Twist Waves in Chromonic Liquid Crystals	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
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	14
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	14
A Geometric Field Theory of Dislocation Mechanics	14
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	14

Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	13
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	13
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	13
Publisher Correction: The Regularized Visible Fold Revisited	13
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	13
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	13
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	13
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
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	12
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	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
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
Spectral Stability of Contact Defects on Large Bounded Domains	10
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
Microscopical Justification of Solid-State Wetting and Dewetting	10
Vortex Pairs and Dipoles on Closed Surfaces	10
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	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
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	9
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	8
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	8
Hamiltonian Mechanics and Lie Algebroid Connections	8
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
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 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
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	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
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	7
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	7
Four Symmetries of the KdV Equation	6
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	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
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	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
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	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
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
Instability and Nonuniqueness for the b-Novikov Equation	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Self-Contact Preventing Energy for Tubular Rods	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
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5