Journal of Nonlinear Science

Article	Citations
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach	67
Geometric Methods for Adjoint Systems	48
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion	42
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations	42
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising	38
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem	34
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks	27
Closed 1/2-Elasticae in the 2-Sphere	25
Stochastic Port-Hamiltonian Systems	24
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints	23
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics	22
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs	22
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State	21
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems	20
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System	19
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions	19
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment	18
A Geometric Field Theory of Dislocation Mechanics	17
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale	16
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model	15
Singular Damped Twist Waves in Chromonic Liquid Crystals	15
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
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	12

Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions	12
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands	12
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation	12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows	12
Publisher Correction: The Regularized Visible Fold Revisited	12
Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode	12
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems	12
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion	12
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant	12
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems	11
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation	11
A $${\bar{\partial }}$$-Steepest Descent Method for Oscillatory Riemann–Hilbert Problems	11
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations	11
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism	11
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances	10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches	10
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation	10
Platonic Solids and Symmetric Solutions of the N-vortex Problem on the Sphere	9
Vortex Pairs and Dipoles on Closed Surfaces	9
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process	9
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds	9
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays	9
Microscopical Justification of Solid-State Wetting and Dewetting	9
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations	9
From Second-Order Differential Geometry to Stochastic Geometric Mechanics	9
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals	9
Spectral Stability of Contact Defects on Large Bounded Domains	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	8
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing	8
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery	8
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance	8
Adaptive Dynamics of a Stoichiometric Phosphorus–Algae–Zooplankton Model with Environmental Fluctuations	8
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox	8
The Effect of Nonlinear Medium on the Behavior of a Quantum Kerr-Cavity: Nondemolition Measurement and Filtering Approach	8
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions	8
On Properties of Adjoint Systems for Evolutionary PDEs	8
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators	8
Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory	8
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism	8
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients	8
Multistability of a Two-Dimensional Map Arising in an Influenza Model	8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation	7
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	7
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions	7
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors	7
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem	7
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation	7
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity	7
Hamiltonian Mechanics and Lie Algebroid Connections	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
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center	7
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation	7
Errata and Addenda to: “Hydrodynamic Vortex on Surfaces” and “The Motion of a Vortex on a Closed Surface of Constant Negative Curvature”	7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis	6
Well-Posedness of Hibler’s Dynamical Sea-Ice Model	6
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning	6
Four Symmetries of the KdV Equation	6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation	6
Persistence of Steady States for Dynamical Systems on Large Networks	6
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential	6
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure	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
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
Exit Versus Escape for Stochastic Dynamical Systems and Application to the Computation of the Bursting Time Duration in Neuronal Networks	6
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation	6
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice	6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation	6
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis	6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities	5
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm	5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data	5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials	5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction	5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks	5
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations	5
Instability and Nonuniqueness for the b-Novikov Equation	5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes	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
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals	5
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise	5
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats	5
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions	5
Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solution	5
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions	5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits	5
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis	4
Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion	4
Transverse Instability of Concentric Water Waves	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
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations	4
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures	4
On a Nonlocal Two-Phase Flow with Convective Heat Transfer	4
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina	4
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves	4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation	4
The Port-Hamiltonian Structure of Continuum Mechanics	4
Weakly Reversible Deficiency Zero Realizations of Reaction Networks	4
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications	4
Stochastic Variational Principles for Dissipative Equations with Advected Quantities	4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds	4
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model	4
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes	4
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension	4
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators	4
There Exist Transitive Piecewise Smooth Vector Fields on $$\mathbb {S}^2$$ but Not Robustly Transitive	4
On the Crystal Limit of the q-Difference Sixth Painlevé Equation	4
On a Reaction–Diffusion Hybrid Mosquito Model with Impulsive Control and Imperfect Maternal Transmission of Wolbachia	4
A Generalized $$\Gamma $$-Convergence Concept for a Class of Equilibrium Problems	4
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology	4
On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature	4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness	4
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	4
Self-Contact Preventing Energy for Tubular Rods	4
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints	4
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane	4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations	4
Analysis of a Stochastic Phytoplankton–Zooplankton Model under Non-degenerate and Degenerate Diffusions	3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems	3
The Evolution of a Curve Induced by the Pohlmeyer–Lund–Regge Equation	3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature	3

A Global Structure-Preserving Kernel Method for the Learning of Poisson Systems	3
Weak Solutions to the Stationary Cahn–Hilliard/Navier–Stokes Equations for Compressible Fluids	3
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$	3
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres	3
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders	3
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming	3
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation	3
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses	3
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics	3
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs	3
Limit Sets of Discontinuous Vector Fields on Two-Dimensional Manifolds	3
Optimal Control, Contact Dynamics and Herglotz Variational Problem	3
Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model	3
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	3
Large Deformations in Terms of Stretch and Rotation and Global Solution to the Quasi-stationary Problem	3
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients	3
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms	3
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model	3
Finite-Data Error Bounds for Koopman-Based Prediction and Control	3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models	3
A Cucker–Smale Flocking Model with the Hessian Communication Weight and Its First-Order Reduction	3
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$	3
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty	3
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle	3
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma	3
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics	3
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets	3
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields	3
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size	3
The Spin–Spin Problem in Celestial Mechanics	3
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem	3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves	3
Energy-Stable Parametric Finite Element Approximations for Regularized Solid-State Dewetting Problems in Strongly Anisotropic Materials	2
Robust Heteroclinic Cycles in Pluridimensions	2
A Mathematical Framework for Dynamical Social Interactions with Dissimulation	2
On a Diffuse Interface Model for Incompressible Viscoelastic Two-Phase Flows	2
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem	2
A Homogenized Bending Theory for Prestrained Plates	2
Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation	2
Stability Analysis of Spatial Perturbed Elliptic Restricted Three-Body Problem with Double Averaging	2
The Differential of Self-Consistent Transfer Operators and the Local Convergence to Equilibrium of Mean Field Strongly Coupled Dynamical Systems	2
Systematic Search for Singularities in 3D Euler Flows	2
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion	2
Nonlinear Stability Measures of Synchronised States in a Power Grid Model	2
Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction	2
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case	2
Orbital Stability of Smooth Solitary Waves for the Novikov Equation	2
Lax Formulation of 3-Component KP Hierarchy by Shiota Construction	2
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity	2
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order	2
Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model	2
Adaptive Multidomain Numerical Solution for Singularly Perturbed Fractional Differential Equation: Chebyshev Pseudospectral Method	2
Snakes on Lieb lattice	2
Calmed 3D Navier–Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence	2
1D Model for the 3D Magnetohydrodynamics	2
An Energy–Momentum Method for Ordinary Differential Equations with an Underlying k-Polysymplectic Manifold	2
Quantitative kam Theory, with an Application to the Three-Body Problem	2
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms	2
On the Hierarchy of Plate Models for a Singularly Perturbed Multi-Well Nonlinear Elastic Energy	2
Error Analysis of Kernel EDMD for Prediction and Control in the Koopman Framework	2
Bifurcations of Tangent Points and Critical Loops in Piecewise-Smooth Systems	2
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation	2
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations	2
Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s Conjecture	2
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation	2
Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	2
A Geometric Look at Momentum Flux and Stress in Fluid Mechanics	2
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model	2
Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations	2
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem	2
Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation	2
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System	2
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization	2
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems	2
On the Piecewise Holomorphic Systems with Three Zones	2
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems	2
Parametric Nonlinear Model Reduction Using Machine Learning on Grassmann Manifold with an Application on a Flow Simulation	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
Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane	2
Linearization of Quasiperiodically Forced Flows on $${\mathbb {T}}^m$$ with Liouvillean Frequency	2
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth	2
Kinetic Equation for Soliton Gas: Integrable Reductions	2
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs	2
Wigner Equations for Phonons Transport and Quantum Heat Flux	2
Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ Model: A Pathway to Glucose Disorder	2
Collapse of Inelastic Hard Spheres in Dimension $$d \ge 2$$	2
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations	2
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis	2
On Nested Central Configurations of the 3n Body Problem	2
Stability Analysis of Spike Solutions to the Schnakenberg Model with Heterogeneity on Metric Graphs	2
Conformally Einstein Lorentzian Lie Groups: The Non-solvable Case	2