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 2021-04-01 to 2025-04-01.)

Article	Citations
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	59
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	54
A Three-Dimensional Generalization of QRT Maps	43
Non-autonomous Differential Systems with Delays: A Global Attraction Analysis	39
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	33
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	32
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	30
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	29
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	26
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	21
Parametric Nonlinear Model Reduction Using Machine Learning on Grassmann Manifold with an Application on a Flow Simulation	19
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	19
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	18
An Energy–Momentum Method for Ordinary Differential Equations with an Underlying k-Polysymplectic Manifold	18
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	18
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	17
Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect	16
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	16
A Homogenized Bending Theory for Prestrained Plates	16
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	15
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	15
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	14
Finite-Dimensionality of Tempered Random Uniform Attractors	14
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	14
Self-similarity in the Kepler–Heisenberg Problem	13

Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	13
Four Symmetries of the KdV Equation	12
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	12
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	12
On the Geophysical Green-Naghdi System	12
Frictional Locomotion of a Radially Symmetric Tripedal Robot	11
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	11
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	11
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	10
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	10
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	10
Compactness and Sharp Lower Bound for a 2D Smectics Model	10
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	10
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	10
The Height Invariant of a Four-Parameter Semitoric System with Two Focus–Focus Singularities	10
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	10
Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise	9
Torus and Homoclinic Bifurcations on a Cells Repair Regulations Model of the Metastatic Nasopharyngeal Carcinoma	9
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	9
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	9
Motility Switching and Front–Back Synchronisation in Polarised Cells	9
Well-Posedness of a Nonlinear Shallow Water Model for an Oscillating Water Column with Time-Dependent Air Pressure	9
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	9
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	9
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	9
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	8
Stochastic Port-Hamiltonian Systems	8
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order	8
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	8
Closed 1/2-Elasticae in the 2-Sphere	8
Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage	8
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	7
Non-existence of Mean-Field Models for Particle Orientations in Suspensions	7
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	7
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	7
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	7
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	7
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	7
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	7
Correction: On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Martingale Solutions in Stochastic Fluid–Structure Interaction	7
A Two-Component Sasa–Satsuma Equation: Large-Time Asymptotics on the Line	6
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	6
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	6
Well-Posedness and Stability Analysis of a Landscape Evolution Model	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	6
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	6
Geometric Methods for Adjoint Systems	6

Nonlinear Stability Measures of Synchronised States in a Power Grid Model	6
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Interchanging Space and Time in Nonlinear Optics Modeling and Dispersion Management Models	6
Dynamics of Buyer Populations in Fresh Product Markets	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	6
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	6
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	5
New Criterions on Nonexistence of Periodic Orbits of Planar Dynamical Systems and Their Applications	5
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	5
2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs	5
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	5
Steady-State Bifurcation of a Non-parallel Flow Involving Energy Dissipation over a Hartmann Boundary Layer	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	5
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	5
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	5
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators	5
Invariant Synchrony and Anti-synchrony Subspaces of Weighted Networks	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
A Geometric Field Theory of Dislocation Mechanics	5
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	5
Emergent Behaviors of a Kuramoto Ensemble Under Fading Memory	5
Uncountably Many Cases of Filippov’s Sewed Focus	5
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	5
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	5
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	5
Regularity Criteria for the Kuramoto–Sivashinsky Equation in Dimensions Two and Three	5
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	5
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	4
Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations	4
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	4
Equilateral Chains and Cyclic Central Configurations of the Planar Five-Body Problem	4
Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation	4
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps	4
Stability of Elliptic Solutions to the sinh-Gordon Equation	4
Data Assimilation Using Time-Delay Nudging in the Presence of Gaussian Noise	4
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	4
Crack Occurrence in Bodies with Gradient Polyconvex Energies	4
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle	4
Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems	4
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	4
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	4
Finite-Time Analysis of Crises in a Chaotically Forced Ocean Model	4
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs	4
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	4
Cavity Volume and Free Energy in Many-Body Systems	4
Measure-Valued Structured Deformations	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation	4
The Spin–Spin Problem in Celestial Mechanics	4