Journal of Nonlinear Science

Papers
(The median citation count of Journal of Nonlinear Science is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs67
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising53
Asymptotic Behavior of Susceptible-Infectious Epidemic Models on Heterogeneous Dynamical Networks46
A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations45
Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion43
Closed 1/2-Elasticae in the 2-Sphere32
Geometric Methods for Adjoint Systems28
Ejection–Collision Orbits in the Parabolic Restricted Three-Body Problem25
Geodesic Extensions of Mechanical Systems with Nonholonomic Constraints24
Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics24
Stochastic Port-Hamiltonian Systems22
Mathematical Models for the Large Spread of a Contact-Based Infection: A Statistical Mechanics Approach21
Dynamics and Consensus Tracking Control for a Class of Impact Oscillator Systems with Uncertain Dynamic Parameters Under Communication Time Delays20
The FitzHugh-Nagumo System on Undulated Cylinders: Spontaneous Symmetrization and Effective System20
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model20
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems19
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale19
A Geometric Field Theory of Dislocation Mechanics18
Nonlinear Logarithmic Hyperelasticity with Isotropy in the Initial State17
Singular Damped Twist Waves in Chromonic Liquid Crystals17
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment17
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions17
The Kuramoto Model on the Sierpinski Gasket II: Twisted States16
Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity16
Infinite-Dimensional Nonholonomic and Vakonomic Systems16
Isometric and Isoenergetic Everting Motions of Orientable and Nonorientable Bands15
Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment15
Multiple Solutions in the Steady Poisson–Nernst–Planck Models of Electrodiffusion14
Melnikov-Like Function of Arbitrary Order for n-Dimensional Piecewise-Smooth Differential Systems14
Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions14
Forward–Backward Extended DMD with an Asymptotic Stability Constraint14
Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems14
Publisher Correction: The Regularized Visible Fold Revisited13
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics13
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation13
Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant13
Dynamics of the Extended Leslie–Gower Model with Holling Type II Functional Response13
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism13
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion12
Energy Conservation for 3D Euler and Navier–Stokes Equations in a Bounded Domain: Applications to Beltrami Flows12
Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation11
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances11
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds11
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures11
Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals10
Spectral Stability of Contact Defects on Large Bounded Domains10
Stable and Unstable Spatially-Periodic Canards Created in Singular Subcritical Turing Bifurcations in the Brusselator System10
On Nonexistence of Splash Singularities for the $$\alpha $$-SQG Patches10
From Second-Order Differential Geometry to Stochastic Geometric Mechanics10
Dynamics of Tumor–Immune Interaction Incorporating Dendritic Cell Therapy and Two Delays10
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations10
Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation10
Generalized Analytical Results on n-Ejection–Collision Orbits in the RTBP. Analysis of Bifurcations10
Analysis of a Stochastic Within-Host Model of Dengue Infection with Immune Response and Ornstein–Uhlenbeck Process10
Dynamics of a Stochastic SVEIR Epidemic Model Incorporating General Incidence Rate and Ornstein–Uhlenbeck Process9
Solitary Waves and Kinks in FPU Lattices with Soft–Hard–Soft Trilinear Interactions9
Global Stability for Compressible Isentropic Navier–Stokes Equations in 3D Bounded Domains with Navier-slip Boundary Conditions9
General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity9
Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing9
Charge Transport Systems with Fermi–Dirac Statistics for Memristors9
High-Fidelity Modeling of Stochastic Chemical Dynamics on Complex Manifolds: A Multiscale SIREN-PINN Framework for the Curvature-Perturbed Ginzburg–Landau Equation9
Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery9
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center9
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions9
On Properties of Adjoint Systems for Evolutionary PDEs9
Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism9
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators9
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox9
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation8
Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors8
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation8
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes8
Wave Trains in Forced–Damped Diatomic FPU Lattices8
Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem8
Hamiltonian Mechanics and Lie Algebroid Connections8
Relative Equilibria of a 4–Particle Ring Close to the 1 : 2 : 4 Resonance8
Long-Time Asymptotics of A Perturbed Modified KdV Equation8
Planar Traveling Fronts of the Buffered Bistable System Around an Obstacle8
On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation7
Pullback Sigma-Attractor of Nonautonomous Semi-dissipative Evolution Equations7
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential7
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation7
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning7
Global Small Solutions to a Special $$2\frac{1}{2}$$-D Compressible Viscous Non-resistive MHD System7
A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis7
Four Symmetries of the KdV Equation7
A Necessary and Sufficient Condition for General Rayleigh–Liénard System with an Elementary Center7
An Optimal Control Approach to the Problem of the Longest Self-Supporting Structure7
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation7
Complete Heteroclinic Networks Derived from Graphs Consisting of Two Cycles7
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice7
Finite-Time Lyapunov Exponents for SPDEs with Fractional Noise7
Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains7
Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain6
Asymmetric Integrable Turbulence and Rogue Wave Statistics for the Derivative Nonlinear Schrödinger Equation6
Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations6
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising6
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients6
Strong Symmetry Breaking in Coupled, Identical Lengyel–Epstein Oscillators via Folded Singularities6
Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain6
Dark Soliton and Breather Solutions to the Coupled Sasa–Satsuma Equation6
Existence for a Cahn–Hilliard Model for Lithium-Ion Batteries with Exponential Growth Boundary Conditions6
Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise6
A Hybrid Predictor–Corrector Decoupled Method Based on Operator Learning for Solving Interface Problems6
Symplectic Discretization of Hamiltonian Integral Equations with Applications to Nonlinear Wave Dynamics and Relativistic Orbits6
On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid6
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats6
Dimensional Reduction for the Ferroelectric Smectic A-Type Phase of Bent-Core Liquid Crystals6
Chaos of Multi-dimensional Weakly Hyperbolic Equations with General Nonlinear Boundary Conditions6
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm6
Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates6
Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation6
Persistence of Steady States for Dynamical Systems on Large Networks6
Viscous Shock Waves of Burgers Equation with Fast Diffusion and Singularity6
Control Barrier Function-based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles6
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis5
Correction to: A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations5
The Bifurcation and Multi-timescale Singularity Analysis of the AII Amacrine Cell Firing Activities in Retina5
Neural Network-Enhanced Integrators for Simulating Ordinary Differential Equations5
Controlled Lagrangians and Stabilization of Euler–Poincaré Equations with Symmetry Breaking Nonholonomic Constraints5
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators5
Propagation of Chaos in the Nonlocal Adhesion Models for Two Cancer Cell Phenotypes5
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction5
A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications5
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures5
Stochastic Variational Principles for Dissipative Equations with Advected Quantities5
On a Nonlocal Two-Phase Flow with Convective Heat Transfer5
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension5
Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks5
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane5
Self-Contact Preventing Energy for Tubular Rods5
Discrete Breathers of Nonlinear Dimer Lattices: Bridging the Anti-continuous and Continuous Limits5
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials5
Bifurcations of Twisted Solutions in a Continuum Limit for the Kuramoto Model on Nearest Neighbor Graphs5
Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology5
On Global Asymptotic Stability for the Diffusive Carr–Penrose Model5
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations5
Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes5
Evolution of Dispersal in Advective Patchy Environments5
An Efficient Computational Algorithm for a Class of Nonlinear Singular Perturbation Problems of Convection Diffusion Type with Cauchy Data5
Asymptotic Behavior of the Dirichlet Energy on Poisson Point Clouds4
Generalized Nijenhuis Torsions and Block-Diagonalization of Operator Fields4
Coherent Set Identification Via Direct Low Rank Maximum Likelihood Estimation4
Multi-Shooting Parameterization Methods for Invariant Manifolds and Heteroclinics of 2 DOF Hamiltonian Poincaré Maps, with Applications to Celestial Resonant Dynamics4
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty4
Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding4
Stability, Periodic Solution and Kam Tori in the Circular Restricted $$(N+1)$$-Body Problem on $${\mathbb {S}}^3$$ and $${\mathbb {H}}^3$$4
The Port-Hamiltonian Structure of Continuum Mechanics4
A Generalized $$\Gamma $$-Convergence Concept for a Class of Equilibrium Problems4
The Dynamics of Periodic Traveling Interfacial Electrohydrodynamic Waves: Bifurcation and Secondary Bifurcation4
Response Solutions to Reversible Beam Equations Beyond Multi-dimensional Brjuno Frequency and their Stable Manifolds4
Transverse Instability of Concentric Water Waves4
On a Two-Species Attraction–Repulsion Chemotaxis System with Nonlocal Terms4
Large Deformations in Terms of Stretch and Rotation and Global Solution to the Quasi-stationary Problem4
A Global Structure-Preserving Kernel Method for the Learning of Poisson Systems4
Variational Dissipative Mechanics on Lie Algebroids4
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma4
Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres4
A Resonant Lyapunov Centre Theorem with an Application to Doubly Periodic Travelling Hydroelastic Waves4
Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders4
Stochastic Gradient Descent with Noise of Machine Learning Type Part I: Discrete Time Analysis4
Discrete Hamiltonian Variational Mechanics and Hamel’s Integrators4
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness4
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations4
Stability for the 2D Anisotropic Magnetohydrodynamic Equations with Only Horizontal Magnetic Diffusion4
Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms4
Skyrmion Stacking in Stray Field-Coupled Ultrathin Ferromagnetic Multilayers4
Qualitative Aspects of Periodic Traveling Waves for the Sinh-Gordon equation4
On the Crystal Limit of the q-Difference Sixth Painlevé Equation4
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming4
On the Formation of Microstructure for Singularly Perturbed Problems with Two, Three, or Four Preferred Gradients4
Bistable Waves and Propagation Success on Hexagonal Lattice4
Spreading Equilibria Under Mildly Singular Potentials: Pancakes Versus Droplets4
On a Reaction–Diffusion Hybrid Mosquito Model with Impulsive Control and Imperfect Maternal Transmission of Wolbachia4
An Adaptive Online Smoother with Closed-Form Solutions and Information-Theoretic Lag Selection for Conditional Gaussian Nonlinear Systems4
Weakly Reversible Deficiency Zero Realizations of Reaction Networks4
The Buckling Load of Cylindrical Shells Under Axial Compression Depends on the Cross-Sectional Curvature4
Local Isometric Immersions and Breakdown of Manifolds Determined by Cauchy Problems of the Degasperis–Procesi Equation4
Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth3
1D Model for the 3D Magnetohydrodynamics3
Bifurcations of Tangent Points and Critical Loops in Piecewise-Smooth Systems3
Systematic Search for Singularities in 3D Euler Flows3
Finite-Data Error Bounds for Koopman-Based Prediction and Control3
Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation3
Decomposable and Essentially Univariate Mass-Action Systems: Extensions of the Deficiency One Theorem3
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems3
Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics3
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem3
Variational Integrators for a new Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term3
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems3
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size3
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle3
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem3
Energy Conservation of the DiPerna–Lions Solutions to Vlasov–Maxwell Systems3
Modeling and Simulation of Breast Cancer Tumor-Immune Interaction with a Time-Delay Reaction-Diffusion Model3
Homogenization of Dissipative Hamiltonian Systems Under Lévy Fluctuations3
Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis3
General Relativistic Lagrangian Continuum Theories Part II: Electromagnetic Fluids and Solids with Junction Conditions3
A Geometric Theory of Surface Elasticity and Anelasticity3
Optimal Control, Contact Dynamics and Herglotz Variational Problem3
A Symmetry-Based Classification of Synchrony in Tree Networks3
Uniqueness and Non-Uniqueness Results for Forced Dyadic MHD Models3
Temperature Patches for a Generalised 2D Boussinesq System with Singular Velocity3
Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model3
Energy-Stable Parametric Finite Element Approximations for Regularized Solid-State Dewetting Problems in Strongly Anisotropic Materials3
The Spin–Spin Problem in Celestial Mechanics3
Non-equilibrium-diffusion Limit of the Compressible Euler Radiation Model3
J-Trajectories in 4-Dimensional Solvable Lie Group $$\textrm{Sol}_1^4$$3
A Mathematical Framework for Dynamical Social Interactions with Dissimulation3
Wigner Equations for Phonons Transport and Quantum Heat Flux3
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model3
Quantitative kam Theory, with an Application to the Three-Body Problem3
Turing Bifurcation in the Swift–Hohenberg Equation on Deterministic and Random Graphs3
The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses3
Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves3
Orbital Stability of Smooth Solitary Waves for the Novikov Equation3
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature3
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System3
The Evolution of a Curve Induced by the Pohlmeyer–Lund–Regge Equation3
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics3
Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem3
Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification2
On Nested Central Configurations of the 3n Body Problem2
Linearization of Quasiperiodically Forced Flows on $${\mathbb {T}}^m$$ with Liouvillean Frequency2
Simultaneous Computation of Whiskered Tori and Their Whiskers in Hamiltonian Systems Using Flow Maps2
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order2
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations2
Stability of Moving Néel Walls in Ferromagnetic Thin Films2
The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations2
Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates2
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics2
Stability of Traveling Waves in a Nonlinear Hyperbolic System Approximating a Dimer Array of Oscillators2
Toward a Two-Scale Model for Morphogenesis: How Cellular Processes Influence Tissue Deformations2
Conformally Einstein Lorentzian Lie Groups: The Non-solvable Case2
Uncountably Many Cases of Filippov’s Sewed Focus2
Comprehensive Understanding of Combination Immunotherapy for Cancer Treatment via Bifurcation Theory2
Optimal Decay Rates of the Compressible Euler Equations with Time-Dependent Damping in $${\mathbb {R}}^n$$: (I) Under-Damping Case2
Zero-Relaxation Limits of the Non-Isentropic Euler–Maxwell System for Well/Ill-Prepared Initial Data2
A Global Existence Result on Weak Solutions for the 3D Navier–Stokes-Plate System with no Contact2
Finite Fractal Dimension of Uniform Attractors for Non-Autonomous Dynamical Systems with Infinite-Dimensional Symbol Space2
Nonlinear Stability Measures of Synchronised States in a Power Grid Model2
The Differential of Self-Consistent Transfer Operators and the Local Convergence to Equilibrium of Mean Field Strongly Coupled Dynamical Systems2
Towards a Classification of Steady-State Bifurcations for Networks with Asymmetric Inputs2
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation2
Robust Chaos in Orientation-Reversing and Non-Invertible Two-Dimensional Piecewise-Linear Maps2
Melnikov-Type Method and Homoclinic Bifurcation in a Class of Hybrid Piecewise Smooth Systems Under Noise and Impulsive Excitation2
Linearization of Finite Elasticity with Surface Tension2
A New Mechanism Revealed by Cross-Diffusion-Driven Instability and Double-Hopf Bifurcation in the Brusselator System2
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization2
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation2
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