Journal of Nonlinear Science

Article	Citations
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	59
Geometric Methods for Adjoint Systems	53
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	46
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	39
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	36
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	33
Stochastic Port-Hamiltonian Systems	31
Closed 1/2-Elasticae in the 2-Sphere	27
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	24
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	24
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	24
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	23
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
A Geometric Field Theory of Dislocation Mechanics	17
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	16
Singular Damped Twist Waves in Chromonic Liquid Crystals	16
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	15
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	15
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	15
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	14
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	14
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	14

Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	14
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	14
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	14
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	14
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	14
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	13
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	12
Publisher Correction: The Regularized Visible Fold Revisited	12
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	12
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	12
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	11
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	11
Spectral Stability of Contact Defects on Large Bounded Domains	11
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	11
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	11
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	11
Forward–Backward Extended DMD with an Asymptotic Stability Constraint	11
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	11
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	11
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Vortex Pairs and Dipoles on Closed Surfaces	10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	10
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	10
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	9
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	9
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	9
On Properties of Adjoint Systems for Evolutionary PDEs	9
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	9
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	9
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	9
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	9
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	8
Hamiltonian Mechanics and Lie Algebroid Connections	8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	8
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	8
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	8
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	8

On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	8
Long-Time Asymptotics of A Perturbed Modified KdV Equation	8
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation	7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	7
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center	7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	7
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	7
Four Symmetries of the KdV Equation	7
Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation	6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles	6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
A Hybrid Predictor–Corrector Decoupled Method Based on Operator Learning for Solving Interface Problems	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Instability and Nonuniqueness for the b-Novikov Equation	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	5
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Self-Contact Preventing Energy for Tubular Rods	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	5
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	5
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	5
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Evolution of Dispersal in Advective Patchy Environments	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	5
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	4
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle	4
A Generalized $$\Gamma $$-Convergence Concept for a Class of Equilibrium Problems	4
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	4
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	4
Response Solutions to Reversible Beam Equations Beyond Multi-dimensional Brjuno Frequency and their Stable Manifolds	4
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	4
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	4
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	4
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	4
Weakly Reversible Deficiency Zero Realizations of Reaction Networks	4
Large Deformations in Terms of Stretch and Rotation and Global Solution to the Quasi-stationary Problem	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
A Global Structure-Preserving Kernel Method for the Learning of Poisson Systems	4
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	4
On a Reaction–Diffusion Hybrid Mosquito Model with Impulsive Control and Imperfect Maternal Transmission of Wolbachia	4
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	4
The Dynamics of Periodic Traveling Interfacial Electrohydrodynamic Waves: Bifurcation and Secondary Bifurcation	4
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	4

There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	4
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation	4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness	4
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	4
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	4
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	4
Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model	4
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	4
Skyrmion Stacking in Stray Field-Coupled Ultrathin Ferromagnetic Multilayers	4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
The Spin–Spin Problem in Celestial Mechanics	4
Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion	4
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	4
The Port-Hamiltonian Structure of Continuum Mechanics	4
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	4
Transverse Instability of Concentric Water Waves	4
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	4
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	4
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	4
Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	3
Bifurcations of Tangent Points and Critical Loops in Piecewise-Smooth Systems	3
A Geometric Theory of Surface Elasticity and Anelasticity	3
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem	3
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System	3
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems	3
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems	3
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses	3
Finite-Data Error Bounds for Koopman-Based Prediction and Control	3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	3
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	3
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	3
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem	3
On a Diffuse Interface Model for Incompressible Viscoelastic Two-Phase Flows	3
Robust Heteroclinic Cycles in Pluridimensions	3
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	3
Wigner Equations for Phonons Transport and Quantum Heat Flux	3
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	3
Quantitative kam Theory, with an Application to the Three-Body Problem	3
Snakes on Lieb lattice	3
A Mathematical Framework for Dynamical Social Interactions with Dissimulation	3
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	3
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs	3
Energy-Stable Parametric Finite Element Approximations for Regularized Solid-State Dewetting Problems in Strongly Anisotropic Materials	3
Optimal Control, Contact Dynamics and Herglotz Variational Problem	3
Calmed 3D Navier–Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence	3
Stability Analysis of Spatial Perturbed Elliptic Restricted Three-Body Problem with Double Averaging	3
Systematic Search for Singularities in 3D Euler Flows	3
Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term	3
Understanding the Dynamics of Latent Viral Infection: A Stochastic HIV Model with General Incidence Rate, Cell-To-Cell Transmission, Immune Impairment, and Ornstein–Uhlenbeck Process	3
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations	3
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity	3
Orbital Stability of Smooth Solitary Waves for the Novikov Equation	3
1D Model for the 3D Magnetohydrodynamics	3
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth	3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
The Evolution of a Curve Induced by the Pohlmeyer–Lund–Regge Equation	3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	3
General Relativistic Lagrangian Continuum Theories Part II: Electromagnetic Fluids and Solids with Junction Conditions	3
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	3
On the Piecewise Holomorphic Systems with Three Zones	3
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	2
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	2
Linearization of Quasiperiodically Forced Flows on $${\mathbb {T}}^m$$ with Liouvillean Frequency	2
A Homogenized Bending Theory for Prestrained Plates	2
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia	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
Linearization of Finite Elasticity with Surface Tension	2
Uncountably Many Cases of Filippov’s Sewed Focus	2
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics	2
Finite Fractal Dimension of Uniform Attractors for Non-Autonomous Dynamical Systems with Infinite-Dimensional Symbol Space	2
Adaptive Multidomain Numerical Solution for Singularly Perturbed Fractional Differential Equation: Chebyshev Pseudospectral Method	2
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	2
Simultaneous Computation of Whiskered Tori and Their Whiskers in Hamiltonian Systems Using Flow Maps	2
Framed Curves, Ribbons, and Parallel Transport on the Sphere	2
Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification	2
On a Chemotactic Host–Pathogen Model: Boundedness, Aggregation, and Segregation	2
Magnetic Trajectories in Killing Magnetic Backgrounds Framed in 3D pp-Waves	2
The Differential of Self-Consistent Transfer Operators and the Local Convergence to Equilibrium of Mean Field Strongly Coupled Dynamical Systems	2
Stability of Traveling Waves in a Nonlinear Hyperbolic System Approximating a Dimer Array of Oscillators	2
Heterogeneous Mixtures of Dictionary Functions to Approximate Subspace Invariance in Koopman Operators: Why Deep Koopman Operators Work	2
Collapse of Inelastic Hard Spheres in Dimension $$d \ge 2$$	2
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps	2
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	2
Zero-Relaxation Limits of the Non-Isentropic Euler–Maxwell System for Well/Ill-Prepared Initial Data	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
Vector Field Models for Nematic Disclinations	2
Stability of Moving Néel Walls in Ferromagnetic Thin Films	2
Nonlinear Stability Measures of Synchronised States in a Power Grid Model	2