Journal of Nonlinear Science

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	51
Geometric Methods for Adjoint Systems	50
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	46
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	41
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	37
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	29
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	27
Closed 1/2-Elasticae in the 2-Sphere	26
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	24
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	22
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	22
Stochastic Port-Hamiltonian Systems	22
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	19
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	19
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	19
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays	16
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	16
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
Singular Damped Twist Waves in Chromonic Liquid Crystals	15
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity	14
A Geometric Field Theory of Dislocation Mechanics	14
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics	14
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment	14

Publisher Correction: The Regularized Visible Fold Revisited	13
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures	13
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	13
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	13
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	13
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	13
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	13
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	12
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	12
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	12
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	11
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	11
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response	11
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
Microscopical Justification of Solid-State Wetting and Dewetting	10
Vortex Pairs and Dipoles on Closed Surfaces	10
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	10
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	10
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
Spectral Stability of Contact Defects on Large Bounded Domains	10
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	9
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process	9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	9
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	8
Hamiltonian Mechanics and Lie Algebroid Connections	8
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	8
On Properties of Adjoint Systems for Evolutionary PDEs	8
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	8
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	8
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise	7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System	7

Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle	7
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	7
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	7
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising	6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	6
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	6
Four Symmetries of the KdV Equation	6
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains	6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid	6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits	6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients	6
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
Instability and Nonuniqueness for the b-Novikov Equation	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Self-Contact Preventing Energy for Tubular Rods	5
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	5
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	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
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain	5
Evolution of Dispersal in Advective Patchy Environments	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	5
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	4
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms	4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
The Dynamics of Periodic Traveling Interfacial Electrohydrodynamic Waves: Bifurcation and Secondary Bifurcation	4
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	4
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	4
Large Deformations in Terms of Stretch and Rotation and Global Solution to the Quasi-stationary Problem	4
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	4
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	4
The Port-Hamiltonian Structure of Continuum Mechanics	4
There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	4
Weakly Reversible Deficiency Zero Realizations of Reaction Networks	4
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	4
Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion	4
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	4
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	4
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	4
Response Solutions to Reversible Beam Equations Beyond Multi-dimensional Brjuno Frequency and their Stable Manifolds	4
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	4
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	4
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	4
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness	4
Transverse Instability of Concentric Water Waves	4
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations	4
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	4
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
A Generalized $$\Gamma $$-Convergence Concept for a Class of Equilibrium Problems	4
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation	4

A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	4
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	4
On a Reaction–Diffusion Hybrid Mosquito Model with Impulsive Control and Imperfect Maternal Transmission of Wolbachia	4
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	3
A Global Structure-Preserving Kernel Method for the Learning of Poisson Systems	3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem	3
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	3
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem	3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	3
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity	3
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	3
A Mathematical Framework for Dynamical Social Interactions with Dissimulation	3
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	3
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses	3
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	3
Optimal Control, Contact Dynamics and Herglotz Variational Problem	3
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	3
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	3
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	3
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	3
Orbital Stability of Smooth Solitary Waves for the Novikov Equation	3
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle	3
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System	3
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	3
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth	3
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	3
1D Model for the 3D Magnetohydrodynamics	3
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	3
Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model	3
Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term	3
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
Skyrmion Stacking in Stray Field-Coupled Ultrathin Ferromagnetic Multilayers	3
Snakes on Lieb lattice	3
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	3
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems	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
The Evolution of a Curve Induced by the Pohlmeyer–Lund–Regge Equation	3
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems	3
The Spin–Spin Problem in Celestial Mechanics	3
Quantitative kam Theory, with an Application to the Three-Body Problem	3
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	3
Finite-Data Error Bounds for Koopman-Based Prediction and Control	3
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	3
On a Diffuse Interface Model for Incompressible Viscoelastic Two-Phase Flows	2
Stability of Traveling Waves in a Nonlinear Hyperbolic System Approximating a Dimer Array of Oscillators	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates	2
Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture	2
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	2
Collapse of Inelastic Hard Spheres in Dimension $$d \ge 2$$	2
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	2
Bifurcations of Tangent Points and Critical Loops in Piecewise-Smooth Systems	2
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	2
Kinetic Equation for Soliton Gas: Integrable Reductions	2
Lax Formulation of 3-Component KP Hierarchy by Shiota Construction	2
Parametric Nonlinear Model Reduction Using Machine Learning on Grassmann Manifold with an Application on a Flow Simulation	2
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics	2
Complex Periodic Bursting Structures in the Rayleigh–van der Pol–Duffing Oscillator	2
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps	2
Adaptive Multidomain Numerical Solution for Singularly Perturbed Fractional Differential Equation: Chebyshev Pseudospectral Method	2
Linearization of Quasiperiodically Forced Flows on $${\mathbb {T}}^m$$ with Liouvillean Frequency	2
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	2
Toward a Two-Scale Model for Morphogenesis: How Cellular Processes Influence Tissue Deformations	2
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations	2
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	2
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	2
A Homogenized Bending Theory for Prestrained Plates	2
Wigner Equations for Phonons Transport and Quantum Heat Flux	2
Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation	2
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	2
Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	2
On Nested Central Configurations of the 3n Body Problem	2
Discretized Fast–Slow Systems with Canards in Two Dimensions	2
Finite Fractal Dimension of Uniform Attractors for Non-Autonomous Dynamical Systems with Infinite-Dimensional Symbol Space	2
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization	2
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	2
An Energy–Momentum Method for Ordinary Differential Equations with an Underlying k-Polysymplectic Manifold	2
The Differential of Self-Consistent Transfer Operators and the Local Convergence to Equilibrium of Mean Field Strongly Coupled Dynamical Systems	2
Error Analysis of Kernel EDMD for Prediction and Control in the Koopman Framework	2
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs	2
Robust Heteroclinic Cycles in Pluridimensions	2
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order	2
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	2
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	2
Systematic Search for Singularities in 3D Euler Flows	2
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	2
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	2
Conformally Einstein Lorentzian Lie Groups: The Non-solvable Case	2
Nonlinear Stability Measures of Synchronised States in a Power Grid Model	2
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization	2
Uncountably Many Cases of Filippov’s Sewed Focus	2