Journal of Nonlinear Science

Article	Citations
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	61
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	47
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	40
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	38
Closed 1/2-Elasticae in the 2-Sphere	37
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	31
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	27
Geometric Methods for Adjoint Systems	24
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	24
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	24
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	24
Stochastic Port-Hamiltonian Systems	21
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	20
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	17
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	17
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	17
Singular Damped Twist Waves in Chromonic Liquid Crystals	16
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	16
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	16
A Geometric Field Theory of Dislocation Mechanics	16
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	16
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	15
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	15

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

On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	8
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	7
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation	7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	7
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	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
Four Symmetries of the KdV Equation	7
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
A Hybrid Predictor–Corrector Decoupled Method Based on Operator Learning for Solving Interface Problems	6
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center	6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	6
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	6
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation	6
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
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	5
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	5
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	5
Self-Contact Preventing Energy for Tubular Rods	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Evolution of Dispersal in Advective Patchy Environments	5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	5
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs	5
There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	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
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	5
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	4
The Port-Hamiltonian Structure of Continuum Mechanics	4
Response Solutions to Reversible Beam Equations Beyond Multi-dimensional Brjuno Frequency and their Stable Manifolds	4
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	4
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	4
The Dynamics of Periodic Traveling Interfacial Electrohydrodynamic Waves: Bifurcation and Secondary Bifurcation	4
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	4
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	4
A Global Structure-Preserving Kernel Method for the Learning of Poisson Systems	4
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness	4
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	4
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	4
Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion	4
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
Weakly Reversible Deficiency Zero Realizations of Reaction Networks	4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
Bistable Waves and Propagation Success on Hexagonal Lattice	4
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	4
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	4

Large Deformations in Terms of Stretch and Rotation and Global Solution to the Quasi-stationary Problem	4
Skyrmion Stacking in Stray Field-Coupled Ultrathin Ferromagnetic Multilayers	4
A Generalized $$\Gamma $$-Convergence Concept for a Class of Equilibrium Problems	4
Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model	4
On a Reaction–Diffusion Hybrid Mosquito Model with Impulsive Control and Imperfect Maternal Transmission of Wolbachia	4
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	4
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation	4
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
Transverse Instability of Concentric Water Waves	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
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	4
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	4
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
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	4
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	4
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	3
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs	3
Variational Dissipative Mechanics on Lie Algebroids	3
The Spin–Spin Problem in Celestial Mechanics	3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	3
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem	3
Bifurcations of Tangent Points and Critical Loops in Piecewise-Smooth Systems	3
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	3
Snakes on Lieb lattice	3
General Relativistic Lagrangian Continuum Theories Part II: Electromagnetic Fluids and Solids with Junction Conditions	3
Orbital Stability of Smooth Solitary Waves for the Novikov Equation	3
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses	3
Energy-Stable Parametric Finite Element Approximations for Regularized Solid-State Dewetting Problems in Strongly Anisotropic Materials	3
Finite-Data Error Bounds for Koopman-Based Prediction and Control	3
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem	3
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	3
Qualitative Aspects of Periodic Traveling Waves for the Sinh-Gordon equation	3
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	3
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity	3
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems	3
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations	3
Systematic Search for Singularities in 3D Euler Flows	3
Optimal Control, Contact Dynamics and Herglotz Variational Problem	3
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	3
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	3
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System	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
Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
The Evolution of a Curve Induced by the Pohlmeyer–Lund–Regge Equation	3
Multi-Shooting Parameterization Methods for Invariant Manifolds and Heteroclinics of 2 DOF Hamiltonian Poincaré Maps, with Applications to Celestial Resonant Dynamics	3
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems	3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	3
A Geometric Theory of Surface Elasticity and Anelasticity	3
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	3
Wigner Equations for Phonons Transport and Quantum Heat Flux	3
Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term	3
Quantitative kam Theory, with an Application to the Three-Body Problem	3
A Mathematical Framework for Dynamical Social Interactions with Dissimulation	3
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	3
On the Piecewise Holomorphic Systems with Three Zones	2
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order	2
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	2
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	2
The Differential of Self-Consistent Transfer Operators and the Local Convergence to Equilibrium of Mean Field Strongly Coupled Dynamical Systems	2
Simultaneous Computation of Whiskered Tori and Their Whiskers in Hamiltonian Systems Using Flow Maps	2
Lax Formulation of 3-Component KP Hierarchy by Shiota Construction	2
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	2
Uncountably Many Cases of Filippov’s Sewed Focus	2
Robust Heteroclinic Cycles in Pluridimensions	2
Adaptive Multidomain Numerical Solution for Singularly Perturbed Fractional Differential Equation: Chebyshev Pseudospectral Method	2
Toward a Two-Scale Model for Morphogenesis: How Cellular Processes Influence Tissue Deformations	2
Heterogeneous Mixtures of Dictionary Functions to Approximate Subspace Invariance in Koopman Operators: Why Deep Koopman Operators Work	2
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	2
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics	2
Stability of Traveling Waves in a Nonlinear Hyperbolic System Approximating a Dimer Array of Oscillators	2
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps	2
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs	2
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	2
Collapse of Inelastic Hard Spheres in Dimension $$d \ge 2$$	2
Stability Analysis of Spatial Perturbed Elliptic Restricted Three-Body Problem with Double Averaging	2
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	2
On Nested Central Configurations of the 3n Body Problem	2
A Global Existence Result on Weak Solutions for the 3D Navier–Stokes-Plate System with no Contact	2
Finite Fractal Dimension of Uniform Attractors for Non-Autonomous Dynamical Systems with Infinite-Dimensional Symbol Space	2
Nonlinear Stability Measures of Synchronised States in a Power Grid Model	2
Stability of Moving Néel Walls in Ferromagnetic Thin Films	2
Linearization of Quasiperiodically Forced Flows on $${\mathbb {T}}^m$$ with Liouvillean Frequency	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation	2
Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	2
On the Hierarchy of Plate Models for a Singularly Perturbed Multi-Well Nonlinear Elastic Energy	2