Journal of Nonlinear Science

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
An Energy–Momentum Method for Ordinary Differential Equations with an Underlying k-Polysymplectic Manifold	18
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	18
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	18
Disc–Disc Structure in a Two-Species Interacting System on a Flat Torus	17
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	16
A Homogenized Bending Theory for Prestrained Plates	16
Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect	16
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein–Uhlenbeck Process	15
Mathematical Theory of Nonlinear Single-Phase Poroelasticity	15
Finite-Dimensionality of Tempered Random Uniform Attractors	14
Relaxation to Fractional Porous Medium Equation from Euler–Riesz System	14
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	14
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation	13

Self-similarity in the Kepler–Heisenberg Problem	13
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
Four Symmetries of the KdV Equation	12
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	12
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	11
Frictional Locomotion of a Radially Symmetric Tripedal Robot	11
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	11
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
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	10
Stability of Regular Polygonal Relative Equilibria on $$\mathbf{}\mathbb S^2$$	10
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
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 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
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	8
Stochastic Port-Hamiltonian Systems	8
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 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
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
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
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
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	5
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	5
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	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
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators	5
Invariant Synchrony and Anti-synchrony Subspaces of Weighted Networks	5
Uncountably Many Cases of Filippov’s Sewed Focus	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids	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
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
New Criterions on Nonexistence of Periodic Orbits of Planar Dynamical Systems and Their Applications	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
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	5
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
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
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	3
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	3
A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	3
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	3
Limit Sets of Discontinuous Vector Fields on Two-Dimensional Manifolds	3
Analysis of Group of Fish Response to Startle Reaction	3
Discretized Fast–Slow Systems with Canards in Two Dimensions	3
Correction: Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	3
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	3
Symmetric and Asymmetric Multiple Impulsive Constraints Without Friction and Their Characterization	3
Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification	3
Zero-Relaxation Limits of the Non-Isentropic Euler–Maxwell System for Well/Ill-Prepared Initial Data	3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
Properties of Hopf Bifurcation in a Diffusive Population Model with Advection Term and Nonlocal Delay Effect	3
The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers	3
Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space	3
Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps	3
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs	3
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	3
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	3
How to Extract a Spectrum from Hydrodynamic Equations	3
Semiglobal Oblique Projection Exponential Dynamical Observers for Nonautonomous Semilinear Parabolic-Like Equations	3
Optimal Control, Contact Dynamics and Herglotz Variational Problem	3
Vector Field Models for Nematic Disclinations	3
The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations	3

Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption	3
Nucleation and Growth of Lattice Crystals	3
The Statistical Theory of the Angiogenesis Equations	3
Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov–Fokker–Planck Equations	3
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	3
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	3
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	3
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics	3
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	3
Relaxation Limit from the Quantum Navier–Stokes Equations to the Quantum Drift–Diffusion Equation	3
Instability and Nonuniqueness for the b-Novikov Equation	3
Travelling Waves for the Brio System	3
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	3
Emergence of Peaked Singularities in the Euler–Poisson System	3
Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates	2
A New Mechanism Revealed by Cross-Diffusion-Driven Instability and Double-Hopf Bifurcation in the Brusselator System	2
Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations	2
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	2
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	2
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	2
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	2
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	2
Stability and Sensitivity Analysis of Bird Flapping Flight	2
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	2
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	2
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	2
Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	2
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	2
Finite-Data Error Bounds for Koopman-Based Prediction and Control	2
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	2
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	2
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	2
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	2
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators	2
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	2
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	2
On a Chemotactic Host–Pathogen Model: Boundedness, Aggregation, and Segregation	2
Vortex Motion of the Euler and Lake Equations	2
Publisher Correction: The Regularized Visible Fold Revisited	2
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect	2
On the Discretely Self-similar Solutions to the Euler Equations in $${\mathbb {R}}^3$$	2
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	2
Multistability for a Reduced Nematic Liquid Crystal Model in the Exterior of 2D Polygons	2
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	2
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	2
Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions	2
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	2
Evolution of Dispersal in Advective Patchy Environments	2
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	2
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	2
On the Stability of Periodic Waves for the Cubic Derivative NLS and the Quintic NLS	2
On the Global Classical Solution of Peeling Models	2
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	2
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants	2
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	2
Spherical Particle in Nematic Liquid Crystal with a Magnetic Field and Planar Anchoring	1
A Nonlocal Reaction-Diffusion Model of West Nile Virus with Vertical Transmission	1
Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism	1
Self-Contact Preventing Energy for Tubular Rods	1
Landau Damping for Vlasov–Poisson System with Radiation Damping on the Torus	1
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	1
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	1
Some Reversing Orbits for a Rattleback Model	1
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	1
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	1
Nonlinear Feedback, Double-bracket Dissipation and Port Control of Lie–Poisson Systems	1
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	1
Stochastic Transport Equations with Unbounded Divergence	1
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation	1
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses	1
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	1
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies	1
On Sections of Complex Line Bundles Over Surfaces Minimizing a Ginzburg–Landau Energy	1
Quantitative kam Theory, with an Application to the Three-Body Problem	1
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	1
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	1
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	1
Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations	1
On the Energy and Helicity Conservation of the Incompressible Euler Equations	1
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth	1
Composite Solutions to a Liquid Bilayer Model	1
Hamiltonian Aspects of the Kinetic Equation for Soliton Gas	1
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems	1
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations	1
$$\Gamma $$-Convergence for Plane to Wrinkles Transition Problem	1
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	1
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	1
Vortex Pairs and Dipoles on Closed Surfaces	1
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	1
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	1
From Particle Systems to the Stochastic Compressible Navier–Stokes Equations of a Barotropic Fluid	1
A Kinematic–Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics	1
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	1