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 2021-05-01 to 2025-05-01.)

Article	Citations
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	59
Stochastic Port-Hamiltonian Systems	55
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	44
Closed 1/2-Elasticae in the 2-Sphere	39
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	33
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	32
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	31
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	31
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	29
Geometric Methods for Adjoint Systems	24
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	21
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	20
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	20
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	19
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	18
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	18
A Geometric Field Theory of Dislocation Mechanics	18
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	17
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	16
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	16
Publisher Correction: The Regularized Visible Fold Revisited	16
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	15
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	15
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	15
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	14

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
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	13
Travelling Waves for the Brio System	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
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
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	12
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	11
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	11
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	10
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	10
Microscopical Justification of Solid-State Wetting and Dewetting	10
Localised Radial Patterns on the Free Surface of a Ferrofluid	10
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	10
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori	10
On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	10
Vortex Pairs and Dipoles on Closed Surfaces	9
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	9
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	8
Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory	8
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres	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
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	7
On Properties of Adjoint Systems for Evolutionary PDEs	7
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	7
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	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
Multistability of a Two-Dimensional Map Arising in an Influenza Model	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
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	6

On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	6
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	6
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	6
Four Symmetries of the KdV Equation	5
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	5
Cavity Volume and Free Energy in Many-Body Systems	5
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Instability and Nonuniqueness for the b-Novikov Equation	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	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
Symmetric and Asymmetric Multiple Impulsive Constraints Without Friction and Their Characterization	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	5
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	5
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	4
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	4
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	4
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	4
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	4
Self-Contact Preventing Energy for Tubular Rods	4
Evolution of Dispersal in Advective Patchy Environments	4
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
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	4
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	4
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	4
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	4
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	4