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 2020-11-01 to 2024-11-01.)

Article	Citations
Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation	53
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation	45
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	45
Pattern Transformation in Higher-Order Lumps of the Kadomtsev–Petviashvili I Equation	33
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	31
Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain	29
Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model	29
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	27
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	26
The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian	26
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect	25
Coexistence, Extinction, and Optimal Harvesting in Discrete-Time Stochastic Population Models	18
Small Permanent Charge Effects on Individual Fluxes via Poisson–Nernst–Planck Models with Multiple Cations	17
Stationary Distribution, Extinction and Probability Density Function of a Stochastic Vegetation–Water Model in Arid Ecosystems	16
Impact of State-Dependent Dispersal on Disease Prevalence	15
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	15
Stochastic SIR Lévy Jump Model with Heavy-Tailed Increments	15
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction	14
Vortex Patches Choreography for Active Scalar Equations	14
Finite-Data Error Bounds for Koopman-Based Prediction and Control	14
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time $$\psi $$-Caputo Derivative	14
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	14
Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator	13
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	13
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	13

Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation	13
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	12
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion	12
Mathematical Framework for Breathing Chimera States	11
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	11
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	11
Optimal Decay Estimates for 2D Boussinesq Equations with Partial Dissipation	11
A Local-in-Time Theory for Singular SDEs with Applications to Fluid Models with Transport Noise	11
On the Geometry of Discrete Contact Mechanics	10
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	10
Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation	10
Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation	10
Spatially Quasi-Periodic Water Waves of Infinite Depth	10
Optimal Control, Contact Dynamics and Herglotz Variational Problem	10
Spontaneous Periodic Orbits in the Navier–Stokes Flow	10
Periodic Solutions of Stochastic Differential Equations Driven by Lévy Noises	10
Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes	10
Evolution of Dispersal in Advective Patchy Environments	10
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds	9
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	9
Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables	9
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	9
Stochastic Wave–Current Interaction in Thermal Shallow Water Dynamics	9
On the Boussinesq Equations with Non-monotone Temperature Profiles	9
Stochastic Variational Formulations of Fluid Wave–Current Interaction	9
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions	9
Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model	8
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	8
Scaling Limits for the Generalized Langevin Equation	8
Finite-Dimensionality of Tempered Random Uniform Attractors	8
Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits	8
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems	8
Stability and Sensitivity Analysis of Bird Flapping Flight	8
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics	8
Nonlinear Network Dynamics with Consensus–Dissensus Bifurcation	8
Transformation Cloaking in Elastic Plates	8
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	8
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception	8
On the Motion of Gravity–Capillary Waves with Odd Viscosity	7
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	7
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	7
Kinetic Equation for Soliton Gas: Integrable Reductions	7
Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction	7
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	7
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	6
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	6
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	6
Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries	6
Reference Configurations Versus Optimal Rotations: A Derivation of Linear Elasticity from Finite Elasticity for all Traction Forces	6
Stability of Elliptic Solutions to the sinh-Gordon Equation	6

An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours	6
Vortex Pairs and Dipoles on Closed Surfaces	6
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Stability Against the Odds: The Case of Chromonic Liquid Crystals	6
Localised Radial Patterns on the Free Surface of a Ferrofluid	6
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	5
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	5
Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory	5
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	5
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	5
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	5
A Homogenized Bending Theory for Prestrained Plates	5
Time-Periodic Planar Fronts Around an Obstacle	5
Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays	5
Stability of Boundary Conditions for the Sadowsky Functional	5
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	5
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	5
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	5
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	5
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	5
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	5
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	5
A Group-Theoretic Approach to the Bifurcation Analysis of Spatial Cosserat-Rod Frameworks with Symmetry	5
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies	5
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	5
Analysis of Group of Fish Response to Startle Reaction	5
Closed 1/2-Elasticae in the 2-Sphere	5
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation	4
Global Bifurcation of Anti-plane Shear Fronts	4
Existence and Uniqueness of Continuous Solution for a Non-local Coupled System Modeling the Dynamics of Dislocation Densities	4
Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain	4
The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction	4
A Multiscale Problem for Viscous Heat-Conducting Fluids in Fast Rotation	4
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation	4
The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation	4
Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence	4
Synchronization Conditions of a Mixed Kuramoto Ensemble in Attractive and Repulsive Couplings	4
Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations	4
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model	4
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	4
Travelling Waves for the Brio System	4
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices	4
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	4
Instability of Static Solutions of the sine-Gordon Equation on a $${\mathcal {Y}}$$-Junction Graph with $$\delta $$-Interaction	4
Quasistatic Hypoplasticity at Large Strains Eulerian	4
Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source	4
Global Existence of Weak Solutions to the Incompressible Axisymmetric Euler Equations Without Swirl	4
tgEDMD: Approximation of the Kolmogorov Operator in Tensor Train Format	4
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	4
Steady-State Bifurcation of a Non-parallel Flow Involving Energy Dissipation over a Hartmann Boundary Layer	4