Traveling waves in lattice dynamical systems
type: Item
instance of: scholarly article
title: Traveling waves in lattice dynamical systems
zbMATH Open document ID: 0911.34050
author: Shui-Nee Chow
author: John Mallet-Paret
author: Wenxian Shen
published in: Journal of Differential Equations
publication date: 1999-05-04T00:00:00Z
Mathematics Subject Classification ID: 34D30
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 1216512
zbMATH Keywords: stability of travelling waves
zbMATH Keywords: lattice ordinary differential equations
zbMATH Keywords: time-discretizations of lattice ODEs
zbMATH Keywords: Nagumo equation
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3478
OpenAlex ID: W2046960180
cites work: CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
cites work: Travelling waves in lattice models of multi-dimensional and multi-component media. I. General hyperbolic properties
cites work: Traveling waves in lattice models of multidimensional and multicomponent media. II. Ergodic properties and dimension
cites work: Q3485307
cites work: Periodic traveling waves and locating oscillating patterns in multidimensional domains
cites work: Ponies on a merry-go-round in large arrays of Josephson junctions
cites work: Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions
cites work: Traveling waves in a convolution model for phase transitions
cites work: Existence and persistence of invariant manifolds for semiflows in Banach space
cites work: Invariant foliations near normally hyperbolic invariant manifolds for semiflows
cites work: Fronts, relaxation oscillations, and period doubling in solid fuel combustion
cites work: Some threshold results for models of myelinated nerves
cites work: Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
cites work: Semi-discrete shock profiles for hyperbolic systems of conservation laws
cites work: Traveling Wave Solutions to Combustion Models and Their Singular Limits
cites work: Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
cites work: Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
cites work: Smooth invariant foliations in infinite dimensional spaces
cites work: Q4342894
cites work: DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
cites work: Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
cites work: Q4325759
cites work: A free boundary problem related to condensed two-phase combustion. I: Semigroup
cites work: A free boundary problem related to condensed two-phase combustion. II: Stability and bifurcation
cites work: The CNN paradigm
cites work: Cellular neural networks: theory
cites work: Q3679944
cites work: Travelling fronts in non-local evolution equations
cites work: Q5587396
cites work: Computation of traveling waves for spatially discrete bistable reaction-diffusion equations
cites work: Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
cites work: Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators
cites work: Existence and uniqueness of travelling waves for a neural network
cites work: Propagating waves in discrete bistable reaction-diffusion systems
cites work: Q5658861
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: A convolution model for interfacial motion: The generation and propagation of internal layers in higher space dimensions
cites work: Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
cites work: Q5580482
cites work: Wavefronts for a cooperative tridiagonal system of differential equations
cites work: Geometric theory of semilinear parabolic equations
cites work: Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
cites work: On Chains of Oscillators Forced at One End
cites work: Multiple Coupling in Chains of Oscillators
cites work: The homotopy type of the unitary group of Hilbert space
cites work: Continuum shock profiles for discrete conservation laws I: Construction
cites work: Q4313508
cites work: Q4247753
cites work: Spatial patterns, spatial chaos, and traveling waves in lattice differential equations
cites work: The Fredholm alternative for functional-differential equations of mixed type
cites work: The global structure of traveling waves in spatially discrete dynamical systems
cites work: Der Homotopietyp der Automorphismengruppe in den Räumen \(l_ p\) und \(c_ 0\)
cites work: Singular limit approach to stability and bifurcation for bistable reaction diffusion systems
cites work: Spiral waves on a 2-D array of nonlinear circuits
cites work: PROPAGATION FAILURE IN LINEAR ARRAYS OF CHUA’S CIRCUITS
cites work: On the stability of waves of nonlinear parabolic systems
cites work: Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices
cites work: Traveling Wave Solutions Arising from a Two-Step Combustion Model
cites work: Construction of the Leray-Schauder degree for elliptic operators in unbounded domains

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cites work: Long-Time Behavior of a Class of Biological Models

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cites work: Simulating cardiac sinus and atrial network dynamics on the Connection Machine

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cites work: Q4711172

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cites work: Stability of Traveling Wavefronts for the Discrete Nagumo Equation

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Traveling waves in lattice dynamical systems (DOI)
DOI: 10.1006/JDEQ.1998.3478