yusuke1997/dblp-id-title huggingface dataset:
The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation
Dimension Reduction for the Landau-de Gennes Model in Planar Nematic Thin Films
On the Approximation of Quasistatic Evolutions for the Debonding of a Thin Film via Vanishing Inertia and Viscosity
Lax Formulation of 3-Component KP Hierarchy by Shiota Construction
Correction to: Discrete Hamiltonian Variational Mechanics and Hamel's Integrators
Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats
Analysis of a General Family of Regularized Navier-Stokes and MHD Models
Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction
The Existence of Solutions for a Free Boundary Problem Modeling the Spread of Ecosystem Engineers
Propagation Speed of the Bistable Traveling Wave to the Lotka-Volterra Competition System in a Periodic Habitat
Population Games and Discrete Optimal Transport
Cracks in Complex Bodies: Covariance of Tip Balances
Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach
Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations
Nonexistence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains
Justification of the Ginzburg-Landau Approximation in Case of Marginally Stable Long Waves
The Wrinkling of a Twisted Ribbon
Some Properties of Solutions to the Camassa-Holm-Type Equation with Higher-Order Nonlinearities
The Quenching Set of a MEMS Capacitor in Two-Dimensional Geometries
Visualization of Stable Manifolds and Multidimensional Surfaces in the Analysis of Power System Dynamics
Periodic Solutions of Stochastic Differential Equations Driven by Lévy Noises
A Hamiltonian Study of the Stability and Bifurcations for the Satellite Problem
On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect
Mean Field Limits for Interacting Diffusions in a Two-Scale Potential
Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation
Laplacian Instability of Planar Streamer Ionization Fronts - An Example of Pulled Front Analysis
Existence, Upper Semicontinuity and Convergence Rate of Measure Attractors for Non-autonomous Superlinear Stochastic Schrödinger Delay Lattice Systems
Ergodic and Foliated Kernel-Differentiation Method for Linear Responses of Random Systems
Interaction of Two Charges in a Uniform Magnetic Field: II. Spatial Problem
Lattice Solutions in a Ginzburg-Landau Model for a Chiral Magnet
Motion of Discrete Interfaces Through Mushy Layers
Crack Occurrence in Bodies with Gradient Polyconvex Energies
Benchmarking Measures of Network Controllability on Canonical Graph Models
Cortical Divisive Normalization from Wilson-Cowan Neural Dynamics
Nonautonomous Stochastic Search in Global Optimization
Rate-Form Equilibrium for an Isotropic Cauchy-Elastic Formulation. Part I: Modeling
Quasi-Periodic Breathers in Granular Chains with Hertzian Contact Potential
Anomalous Waves Triggered by Abrupt Depth Changes: Laboratory Experiments and Truncated KdV Statistical Mechanics
Special Issue Editorial: Robotics: Mechanics and Control of Locomotion
The Building Game: From Enumerative Combinatorics to Conformational Diffusion
Random Sequential Adsorption of Discs on Surfaces of Constant Curvature: Plane, Sphere, Hyperboloid, and Projective Plane
Disc-Disc Structure in a Two-Species Interacting System on a Flat Torus
Turing Bifurcation in the Swift-Hohenberg Equation on Deterministic and Random Graphs
Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction
Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics
Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics
On Generalizations of the Pentagram Map: Discretizations of AGD Flows
Scalar Conservation Laws with Nonconstant Coefficients with Application to Particle Size Segregation in Granular Flow
Geometric Control of Two Quadrotors Carrying a Rigid Rod with Elastic Cables
Erratum to: Triggered Fronts in the Complex Ginzburg Landau Equation
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization
Cluster Synchronization of Diffusively Coupled Nonlinear Systems: A Contraction-Based Approach
The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations
The Momentum Map Representation of Images
Stability and Bifurcation Analysis of a Spinning Space Tether
Data-Driven Model Reduction and Transfer Operator Approximation
Dimension Reduction and Optimality of the Uniform State in a Phase-Field-Crystal Model Involving a Higher-Order Functional
Quasi-Potential Calculation and Minimum Action Method for Limit Cycle
Nonlinear Elasticity in a Deforming Ambient Space
The Nonsmooth Dynamics of Combined Slip and Spin Motion Under Dry Friction
Potential Singularity for a Family of Models of the Axisymmetric Incompressible Flow
Quantum Torus Algebras and B(C)-Type Toda Systems
Modulation Analysis of the Stochastic Camassa-Holm Equation with Pure Jump Noise
Sharp and Strong Nonuniqueness for the Magnetohydrodynamic Equations
Solution Properties of a 3D Stochastic Euler Fluid Equation
Motility Switching and Front-Back Synchronisation in Polarised Cells
A Variational Integrator for the Chaplygin-Timoshenko Sleigh
On Well-Posedness and Decay of Strong Solutions for 3D Incompressible Smectic-A Liquid Crystal Flows
Localization in Adiabatic Shear Flow Via Geometric Theory of Singular Perturbations
From a Microscopic to a Macroscopic Model for Alzheimer Disease: Two-Scale Homogenization of the Smoluchowski Equation in Perforated Domains
Turbulent Cascade Direction and Lagrangian Time-Asymmetry
The n-Body Problem in Spaces of Constant Curvature. Part I: Relative Equilibria
A New Mechanism Revealed by Cross-Diffusion-Driven Instability and Double-Hopf Bifurcation in the Brusselator System
Stochastic Mean-Field Approach to Fluid Dynamics
A Linear Schrödinger Approximation for the KdV Equation via IST Beyond the Natural NLS Time Scale
Stochastic Parametrization of the Richardson Triple
A West Nile Virus Model with Vertical Transmission and Periodic Time Delays
Erratum to: Some Joys and Trials of Mathematical Neuroscience
Exponential Asymptotic Stability of the Kuramoto System with Periodic Natural Frequencies and Constant Inertia
Canard Phenomena in Oscillations of a Surface Oxidation Reaction
Spatially Quasi-Periodic Water Waves of Infinite Depth
Dynamical Analysis of a Stochastic Ebola Model with Nonlinear Incidence Functions
The Spectrum of the Partially Locked State for the Kuramoto Model
An Incompressible Polymer Fluid Interacting with a Koiter Shell
On the Blow-Up of Solutions of a Periodic Shallow Water Equation
Energy Conservation for 3D Euler and Navier-Stokes Equations in a Bounded Domain: Applications to Beltrami Flows
Hydrodynamic Models and Confinement Effects by Horizontal Boundaries
Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures
Triggered Fronts in the Complex Ginzburg Landau Equation
Mechanisms of Unstable Blowup in a Quadratic Nonlinear Schrödinger Equation
Dynamics of Decision Making in Animal Group Motion
Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment
Advection and Autocatalysis as Organizing Principles for Banded Vegetation Patterns
Emergent Behaviors of Quantum Lohe Oscillators with All-to-All Coupling
The Kolmogorov-Obukhov Statistical Theory of Turbulence
A Matrix Schrödinger Approach to Focusing Nonlinear Schrödinger Equations with Nonvanishing Boundary Conditions
Spatial Dynamics of Species with Annually Synchronized Emergence of Adults
Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses
Solitary-Wave Solutions of the Fractional Nonlinear Schrödinger Equation: I - Existence and Numerical Generation
Post-Coulombian Dynamics at Order c-3
Stochastic Evolution of Augmented Born-Infeld Equations
Remarks on the Emergence of Weak Euler Solutions in the Vanishing Viscosity Limit
Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation
Symplectic Geometry and Spectral Properties of Classical and Quantum Coupled Angular Momenta
Local Near-Beltrami Structure and Depletion of the Nonlinearity in the 3D Navier-Stokes Flows
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations
On Nested Central Configurations of the 3n Body Problem
Locomotion Dynamics for Bio-inspired Robots with Soft Appendages: Application to Flapping Flight and Passive Swimming
Poincaré-Treshchev Mechanism in Multi-scale, Nearly Integrable Hamiltonian Systems
Correction: Time Averages and Periodic Attractors at High Rayleigh Number for Lorenz-like Models
A Diffuse-Interface Approach for Solid-State Dewetting with Anisotropic Surface Energies
Bioinspired Sensory Systems for Shear Flow Detection
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception
Editorial January 2019
On Nonlocal Cahn-Hilliard-Navier-Stokes Systems in Two Dimensions
Emerging Patterns in a Hyperbolic Model for Locally Interacting Cell Systems
Cerbelli and Giona's Map Is Pseudo-Anosov and Nine Consequences
Discrete Variational Optimal Control
On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Effective Dynamics for N-Solitons of the Gross-Pitaevskii Equation
Dissipative Localised Structures for the Complex Discrete Ginzburg-Landau Equation
Extreme Statistics of Superdiffusive Lévy Flights and Every Other Lévy Subordinate Brownian Motion
Derivation of the Hall-MHD Equations from the Navier-Stokes-Maxwell Equations
Stability Switches and Hopf Bifurcations in a Pair of Delay-Coupled Oscillators
Pullback Exponential Attractors with Explicit Fractal Dimensions for Non-Autonomous Partial Functional Differential Equations
On the Detuned $2\!{: }\!4$ Resonance
Numbers of Relative Equilibria in the Planar Four-Vortex Problem: Some Special Cases
Bifurcations of the Hamiltonian Fourfold 1: 1 Resonance with Toroidal Symmetry
Deformable Asymmetric Tops under Similarity Transformations
Communication and Collective Consensus Making in Animal Groups via Mechanical Interactions
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model
Hamel's Formalism for Classical Field Theories
Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov-Fokker-Planck Equations
Onsager's Conjecture on the Energy Conservation for Solutions of Euler Equations in Bounded Domains
Derivation of Inviscid Quasi-geostrophic Equation from Rotational Compressible Magnetohydrodynamic Flows
Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations
A Variational Model for Dislocations at Semi-coherent Interfaces
Backward Parabolicity, Cross-Diffusion and Turing Instability
Incompressible Limit of the Ericksen-Leslie Parabolic-Hyperbolic Liquid Crystal Model
Stability of Non-constant Equilibrium Solutions for Bipolar Full Compressible Navier-Stokes-Maxwell Systems
The WDVV Associativity Equations as a High-Frequency Limit
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time ψ-Caputo Derivative
Finite Fractal Dimension of Uniform Attractors for Non-Autonomous Dynamical Systems with Infinite-Dimensional Symbol Space
Spiral Anchoring in Media with Multiple Inhomogeneities: A Dynamical System Approach
Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism
Solution of the Kirchhoff-Plateau Problem
Nonlinear Physiologically Structured Population Models with Two Internal Variables
Peristaltic Wave Locomotion and Shape Morphing with a Millipede Inspired System
Impact of State-Dependent Dispersal on Disease Prevalence
On the Doubly Non-local Hele-Shaw-Cahn-Hilliard System: Derivation and 2D Well-Posedness
Role of Pectoral Fin Flexibility in Robotic Fish Performance
Particle Filters with Nudging in Multiscale Chaotic Systems: With Application to the Lorenz '96 Atmospheric Model
The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation
Nonexistence of Slow Heteroclinic Travelling Waves for a Bistable Hamiltonian Lattice Model
Frictional Locomotion of a Radially Symmetric Tripedal Robot
Macroscopic Limits and Phase Transition in a System of Self-propelled Particles
Multi-periodicity in a Predator-Prey System with a Fear Effect
Global Well-Posedness of Strong Solutions of Doi Model with Large Viscous Stress
A Mathematical Model of Prostate Tumor Growth Under Hormone Therapy with Mutation Inhibitor
Response Solution to Ill-Posed Boussinesq Equation with Quasi-Periodic Forcing of Liouvillean Frequency
A Bifurcation Theory for Three-Dimensional Oblique Travelling Gravity-Capillary Water Waves
Poincaré-Cosserat Equations for the Lighthill Three-dimensional Large Amplitude Elongated Body Theory: Application to Robotics
Adaptive Dynamics of a Stoichiometric Phosphorus-Algae-Zooplankton Model with Environmental Fluctuations
Optimal Harvesting of Stochastic Population Models with Periodic Coefficients
Delay Embeddings for Forced Systems. II. Stochastic Forcing
Blending Modified Gaussian Closure and Non-Gaussian Reduced Subspace Methods for Turbulent Dynamical Systems
Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule
Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions
Pattern Transformation in Higher-Order Lumps of the Kadomtsev-Petviashvili I Equation
Erratum to: Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping
Bifurcation Diagrams and Heteroclinic Networks of Octagonal H-Planforms
An Intrinsic Aggregation Model on the Special Orthogonal Group SO(3): Well-posedness and Collective Behaviours
Action Minimising Fronts in General FPU-type Chains
Conservation of 'Moving' Energy in Nonholonomic Systems with Affine Constraints and Integrability of Spheres on Rotating Surfaces
Chaotic Motion of the N -Vortex Problem on a Sphere: I. Saddle-Centers in Two-Degree-of-Freedom Hamiltonians
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation
Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension
Arnold Diffusion of Charged Particles in ABC Magnetic Fields
Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations
Stochastic Closures for Wave-Current Interaction Dynamics
Weak Solutions Obtained by the Vortex Method for the 2D Euler Equations are Lagrangian and Conserve the Energy
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
Spontaneous Periodic Orbits in the Navier-Stokes Flow
Initiation of Cracks in Griffith's Theory: An Argument of Continuity in Favor of Global Minimization
Interchanging Space and Time in Nonlinear Optics Modeling and Dispersion Management Models
A Predator-Prey Model with a Holling Type I Functional Response Including a Predator Mutual Interference
A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures
Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation
Extending Transition Path Theory: Periodically Driven and Finite-Time Dynamics
Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations
Asymptotic Dynamics of Inertial Particles with Memory
Energy-Stable Parametric Finite Element Approximations for Regularized Solid-State Dewetting Problems in Strongly Anisotropic Materials
Hopf Bifurcation from Rotating Waves and Patterns in Physical Space
A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles
Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion
On the Space-Time Analyticity of the Keller-Segel-Navier-Stokes System
A Family of Semitoric Systems with Four Focus-Focus Singularities and Two Double Pinched Tori
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators
Global Phase Portraits of Separable Polynomial Rigid Systems with a Center
Two-Dimensional Infinite Prandtl Number Convection: Structure of Bifurcated Solutions
Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising
Multivariate Li-Yorke chaos and multivariate distributional chaos in nonlinear dynamical systems
Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains
Dynamically Active Compartments Coupled by a Stochastically Gated Gap Junction
A Nonlocal Reaction-Diffusion Model of West Nile Virus with Vertical Transmission
Energy Landscapes for the Self-Assembly of Supramolecular Polyhedra
Global Regularity of the 2D HVBK Equations
Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise
On Born's Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal
Pattern formation on regular polygons and circles
On the Boussinesq Equations with Non-monotone Temperature Profiles
Bounds on the Energy of a Soft Cubic Ferromagnet with Large Magnetostriction
Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional TV Denoising
A ${\bar{\partial }}$-Steepest Descent Method for Oscillatory Riemann-Hilbert Problems
A Numerical Study of the Stability of Solitary Waves of the Bona-Smith Family of Boussinesq Systems
Variational Approach for Learning Markov Processes from Time Series Data
Complex Periodic Bursting Structures in the Rayleigh-van der Pol-Duffing Oscillator
Gevrey Regularity for the Attractor of the 3D Navier-Stokes-Voight Equations
Stacked Central Configurations in the 5-Vortex Problem
Direction-Reversing Traveling Waves in the Even Fermi-Pasta-Ulam Lattice
Geometry of Discrete-Time Spin Systems
Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment
Soliton Splitting by External Delta Potentials
Effective Estimation of Trapping/Stability Regions and Bilateral Solutions' Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients
On Large Time Behavior and Selection Principle for a Diffusive Carr-Penrose Model
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form
Stability of Moving Néel Walls in Ferromagnetic Thin Films
A Vector General Nonlinear Schrödinger Equation with (m+n) Components
Toward a Two-Scale Model for Morphogenesis: How Cellular Processes Influence Tissue Deformations
Finite-Dimensionality of Tempered Random Uniform Attractors
Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits
A Type I Defect and New Integrable Boundary Conditions for the Coupled Nonlinear Schrödinger Equation
Nonlinear Model Reduction for Slow-Fast Stochastic Systems Near Unknown Invariant Manifolds
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction
Instability of Static Solutions of the sine-Gordon Equation on a Y -Junction Graph with δ-Interaction
Synchronization in Functional Networks of the Human Brain
The Magnus Expansion for Stochastic Differential Equations
Designing Heteroclinic and Excitable Networks in Phase Space Using Two Populations of Coupled Cells
Relative Equilibria of a 4-Particle Ring Close to the 1 : 2 : 4 Resonance
Evolution of Dispersal in Advective Patchy Environments
Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations
Continuous Data Assimilation Using General Interpolant Observables
The Impact of Frequency Bandwidth on a One-Dimensional Model for Dispersive Wave Turbulence
Dark Soliton and Breather Solutions to the Coupled Sasa-Satsuma Equation
Performance Analysis of Local Ensemble Kalman Filter
Error Analysis of Kernel EDMD for Prediction and Control in the Koopman Framework
Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
Parametric Nonlinear Model Reduction Using Machine Learning on Grassmann Manifold with an Application on a Flow Simulation
Metric-Induced Wrinkling of a Thin Elastic Sheet
Global Bifurcation of Anti-plane Shear Fronts
Complex Fluid Models of Mixed Quantum-Classical Dynamics
Collisions of Vortex Filament Pairs
On Stability Estimates for the Inviscid Boussinesq Equations
A Dynamic Laplacian for Identifying Lagrangian Coherent Structures on Weighted Riemannian Manifolds
Translational Symmetry-Breaking for Spiral Waves
Well-Posedness of Solutions for the Sixth-Order Boussinesq Equation with Linear Strong Damping and Nonlinear Source
1D Model for the 3D Magnetohydrodynamics
New Criterions on Nonexistence of Periodic Orbits of Planar Dynamical Systems and Their Applications
Formation and Dynamics of Shock Waves in the Degasperis-Procesi Equation
Locomotion of Articulated Bodies in a Perfect Fluid
On the Hamel Coefficients and the Boltzmann-Hamel Equations for the Rigid Body
Optimal Harvesting of a Stochastic Logistic Model with Time Delay
On Orbital Instability of Spectrally Stable Vortices of the NLS in the Plane
Non-sequential Recursive Pair Substitutions and Numerical Entropy Estimates in Symbolic Dynamical Systems
On Scaling Laws for Multi-Well Nucleation Problems Without Gauge Invariances
Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices
The Stochastic Quasi-chemical Model for Bacterial Growth: Variational Bayesian Parameter Update
Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations
Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials
Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems
Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation
Vortex on Surfaces and Brownian Motion in Higher Dimensions: Special Metrics
Measure-Valued Structured Deformations
Asymptotic Solution of a Boundary Value Problem for a Spring-Mass Model of Legged Locomotion
Kink Dynamics in a High-Order Field Model
Semi-discrete Optimization Through Semi-discrete Optimal Transport: A Framework for Neural Architecture Search
Travelling Waves and Numerical Approximations in a Reaction Advection Diffusion Equation with Nonlocal Delayed Effects
Stability of Equilibria for the $\mathfrak{so}(4)$ Free Rigid Body
Algebro-Geometric Quasi-Periodic Solutions to the Bogoyavlensky Lattice 2(3) Equations
Synchronization of Coupled Limit Cycles
On a Lagrangian Reduction and a Deformation of Completely Integrable Systems
Spatio-Temporal Koopman Decomposition
Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics
On the Littlewood-Paley Spectrum for Passive Scalar Transport Equations
Koopman Operator Spectrum for Random Dynamical Systems
Edge Domain Walls in Ultrathin Exchange-Biased Films
Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential
Slow Modulations of Periodic Waves in Hamiltonian PDEs, with Application to Capillary Fluids
Stability and Response Solutions of Quasi-periodically Forced, (1+1) Point-Vortex Systems
Integrable Semi-discrete Kundu-Eckhaus Equation: Darboux Transformation, Breather, Rogue Wave and Continuous Limit Theory