Journal of Nonlinear Science

Article	Citations
Well-Posedness of a Nonlinear Shallow Water Model for an Oscillating Water Column with Time-Dependent Air Pressure	53
Stochastic Port-Hamiltonian Systems	45
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	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
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	16
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	16
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	16
Four Symmetries of the KdV Equation	15
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	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
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
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
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
Self-similarity in the Kepler–Heisenberg Problem	9
Non-existence of Mean-Field Models for Particle Orientations in Suspensions	9
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
Closed 1/2-Elasticae in the 2-Sphere	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
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
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
A Geometric Field Theory of Dislocation Mechanics	5
Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations	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
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	5
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	5
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators	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
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	5
Semi-Analytical Estimates for the Orbital Stability of Earth’s Satellites	5
Markov Models of Coarsening in Two-Dimensional Foams with Edge Rupture	5
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	5
Dynamics of Buyer Populations in Fresh Product Markets	5
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	5
Landscape Analysis for Shallow Neural Networks: Complete Classification of Critical Points for Affine Target Functions	5
Finite-Time Analysis of Crises in a Chaotically Forced Ocean Model	5
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
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
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	3
Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov–Fokker–Planck Equations	3
Invariant Synchrony and Anti-synchrony Subspaces of Weighted Networks	3
Emergent Behaviors of a Kuramoto Ensemble Under Fading Memory	3
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	3
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation	3
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	3
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	3
Global Regularity for the 2D MHD and Tropical Climate Model with Horizontal Dissipation	3
Equilateral Chains and Cyclic Central Configurations of the Planar Five-Body Problem	3
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions	3
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	3
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	3
Correction: Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	3
Measure-Valued Structured Deformations	3
Regularity Criteria for the Kuramoto–Sivashinsky Equation in Dimensions Two and Three	3
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	3
Data Assimilation Using Time-Delay Nudging in the Presence of Gaussian Noise	3
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities	3
Uncountably Many Cases of Filippov’s Sewed Focus	3
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle	3
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	3
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	3
Limit Sets of Discontinuous Vector Fields on Two-Dimensional Manifolds	3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	3
Instability and Nonuniqueness for the b-Novikov Equation	3
Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems	3
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	3
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps	3
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs	3
Steady-State Bifurcation of a Non-parallel Flow Involving Energy Dissipation over a Hartmann Boundary Layer	3
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	3
Analysis of Group of Fish Response to Startle Reaction	3
Diffusivity Estimation for Activator–Inhibitor Models: Theory and Application to Intracellular Dynamics of the Actin Cytoskeleton	3
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	3
Emergence of Peaked Singularities in the Euler–Poisson System	2
Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification	2
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	2
Zero-Relaxation Limits of the Non-Isentropic Euler–Maxwell System for Well/Ill-Prepared Initial Data	2

Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	2
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	2
The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers	2
Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space	2
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	2
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	2
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	2
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	2
Publisher Correction: The Regularized Visible Fold Revisited	2
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	2
A New Mechanism Revealed by Cross-Diffusion-Driven Instability and Double-Hopf Bifurcation in the Brusselator System	2
Finite-Data Error Bounds for Koopman-Based Prediction and Control	2
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	2
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	2
Vector Field Models for Nematic Disclinations	2
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	2
A Uniqueness Result for a Simple Superlinear Eigenvalue Problem	2
Travelling Waves for the Brio System	2
Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations	2
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	2
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs	2
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	2
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators	2
Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions	2
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	2
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	2
Multistability for a Reduced Nematic Liquid Crystal Model in the Exterior of 2D Polygons	2
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	2
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	2
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	2
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	2
The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations	2
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	2
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	2
Nucleation and Growth of Lattice Crystals	2
On a Chemotactic Host–Pathogen Model: Boundedness, Aggregation, and Segregation	2
Symmetric and Asymmetric Multiple Impulsive Constraints Without Friction and Their Characterization	2
Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption	2
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	2
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	2
Evolution of Dispersal in Advective Patchy Environments	2
The Statistical Theory of the Angiogenesis Equations	2
Optimal Control, Contact Dynamics and Herglotz Variational Problem	2
A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	2
Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps	2
Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	2
On the Discretely Self-similar Solutions to the Euler Equations in $${\mathbb {R}}^3$$	2
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	2
Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism	1
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori	1
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	1
On Sections of Complex Line Bundles Over Surfaces Minimizing a Ginzburg–Landau Energy	1
Localised Radial Patterns on the Free Surface of a Ferrofluid	1
Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction	1
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	1
On Strong Continuity of Weak Solutions to the Compressible Euler System	1
An Incompressible Polymer Fluid Interacting with a Koiter Shell	1
The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation	1
On the Dynamics of a Bead Sliding on a Freely Rotating Slanted Wire	1
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	1
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	1
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System	1
On the Energy and Helicity Conservation of the Incompressible Euler Equations	1
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity	1
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	1
A Mathematical Framework for Dynamical Social Interactions with Dissimulation	1
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	1
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia	1
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	1
Reference Configurations Versus Optimal Rotations: A Derivation of Linear Elasticity from Finite Elasticity for all Traction Forces	1
A Geometrically Nonlinear Cosserat (Micropolar) Curvy Shell Model Via Gamma Convergence	1
Stacked Central Configurations in the 5-Vortex Problem	1
Nonlinear Feedback, Double-bracket Dissipation and Port Control of Lie–Poisson Systems	1
Microscopical Justification of Solid-State Wetting and Dewetting	1
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies	1
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics	1
Some Reversing Orbits for a Rattleback Model	1
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	1
1D Model for the 3D Magnetohydrodynamics	1
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem	1
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	1
$$\Gamma $$-Convergence for Plane to Wrinkles Transition Problem	1
Quantitative kam Theory, with an Application to the Three-Body Problem	1
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	1
Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations	1
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	1
On the Existence of Symmetric Bicircular Central Configurations of the 3n-Body Problem	1
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth	1
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	1
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	1
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	1
Dissipative Localised Structures for the Complex Discrete Ginzburg–Landau Equation	1