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 2021-02-01 to 2025-02-01.)

Article	Citations
Well-Posedness of a Nonlinear Shallow Water Model for an Oscillating Water Column with Time-Dependent Air Pressure	53
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	45
Stochastic Port-Hamiltonian Systems	45
On the Geophysical Green-Naghdi System	33
Interchanging Space and Time in Nonlinear Optics Modeling and Dispersion Management Models	31
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	27
Geometric Methods for Adjoint Systems	26
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	26
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	25
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	17
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	16
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	16
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	16
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	15
Four Symmetries of the KdV Equation	15
Torus and Homoclinic Bifurcations on a Cells Repair Regulations Model of the Metastatic Nasopharyngeal Carcinoma	14
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	14
On the Hamel Coefficients and the Boltzmann–Hamel Equations for the Rigid Body	14
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	14
Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage	13
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	13
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	13
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	13
Non-autonomous Differential Systems with Delays: A Global Attraction Analysis	13
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	12

Compactness and Sharp Lower Bound for a 2D Smectics Model	12
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	12
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	11
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order	11
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics	11
The Height Invariant of a Four-Parameter Semitoric System with Two Focus–Focus Singularities	10
Martingale Solutions in Stochastic Fluid–Structure Interaction	10
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	10
A Three-Dimensional Generalization of QRT Maps	10
Global Bifurcation of Anti-plane Shear Fronts	10
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	10
Motility Switching and Front–Back Synchronisation in Polarised Cells	10
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	10
Self-similarity in the Kepler–Heisenberg Problem	9
Non-existence of Mean-Field Models for Particle Orientations in Suspensions	9
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	9
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	9
Frictional Locomotion of a Radially Symmetric Tripedal Robot	9
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	9
Closed 1/2-Elasticae in the 2-Sphere	8
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	8
Parametric Nonlinear Model Reduction Using Machine Learning on Grassmann Manifold with an Application on a Flow Simulation	8
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	8
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	8
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	8
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	8
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	8
A Homogenized Bending Theory for Prestrained Plates	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise	7
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	7
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	7
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	6
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	6
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	6
Correction: On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	6
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	6
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	6
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	6
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	6
Spontaneous Periodic Orbits in the Navier–Stokes Flow	6
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	6
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion	6
Finite-Dimensionality of Tempered Random Uniform Attractors	6
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	6
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	5
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	5
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	5

Finite-Time Analysis of Crises in a Chaotically Forced Ocean Model	5
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators	5
A Geometric Field Theory of Dislocation Mechanics	5
Discretized Fast–Slow Systems with Canards in Two Dimensions	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	5
How to Extract a Spectrum from Hydrodynamic Equations	5
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	5
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	5
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	5
New Criterions on Nonexistence of Periodic Orbits of Planar Dynamical Systems and Their Applications	5
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	5
A Two-Component Sasa–Satsuma Equation: Large-Time Asymptotics on the Line	5
The Spin–Spin Problem in Celestial Mechanics	5
Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations	5
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	5
Markov Models of Coarsening in Two-Dimensional Foams with Edge Rupture	5
Dynamics of Buyer Populations in Fresh Product Markets	5
Stability of Elliptic Solutions to the sinh-Gordon Equation	4
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	4
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	4
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	4
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	4
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	4
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics	4
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices	4
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	4
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	4
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	4
Cavity Volume and Free Energy in Many-Body Systems	4
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	4
Crack Occurrence in Bodies with Gradient Polyconvex Energies	4
2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs	4
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	4
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	4
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	4
Well-Posedness and Stability Analysis of a Landscape Evolution Model	4
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	4
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation	4
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics	4
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	4