Traveling Waves for Spatially Discrete Systems of FitzHugh--Nagumo Type with Periodic Coefficients
type: Item
instance of: scholarly article
title: Traveling Waves for Spatially Discrete Systems of FitzHugh--Nagumo Type with Periodic Coefficients
zbMATH Open document ID: 1432.34084
DOI: 10.1137/18M1204942
published in: SIAM Journal on Mathematical Analysis
publication date: 2019-08-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1808.00761
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 34K08
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 34K31
zbMATH DE Number: 7098239
zbMATH Keywords: lattice differential equations
zbMATH Keywords: FitzHugh-Nagumo system
zbMATH Keywords: periodic coefficients
zbMATH Keywords: singular perturbation
author: Willem M. Schouten-Straatman
author: H. J. Hupkes
MaRDI profile type: Publication
arXiv ID: 1808.00761
cites work: Traveling Waves of Bistable Dynamics on a Lattice
cites work: Q3433838
cites work: Waves in neural media. From single neurons to neural fields
cites work: Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model
cites work: Evolution equations for phase separation and ordering in binary alloys
cites work: A geometric approach to singular perturbation problems with applications to nerve impulse equations
cites work: Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
cites work: Fast Pulses with Oscillatory Tails in the FitzHugh--Nagumo System
cites work: Traveling pulse solutions to Fitzhugh-Nagumo equations
cites work: Traveling waves in discrete periodic media for bistable dynamics
cites work: On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
cites work: Q4831049
cites work: Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices
cites work: Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity
cites work: Existence of pulses in excitable media with nonlocal coupling
cites work: On travelling wave solutions of the Hodgkin-Huxley equations
cites work: Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio
cites work: Bichromatic Travelling Waves for Lattice Nagumo Equations
cites work: Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System
cites work: Stability of pulse solutions for the discrete FitzHugh–Nagumo system
cites work: Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness
cites work: Travelling waves for complete discretizations of reaction diffusion systems
cites work: Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
cites work: Q4010733
cites work: Mathematical physiology
cites work: Fast and slow waves in the FitzHugh-Nagumo equation
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: Spatially structured activity in synaptically coupled neuronal networks. I: Traveling fronts and pulses
cites work: Nonlinear stability of pulse solutions for the discrete FitzHugh-Nagumo equation with infinite-range interactions
cites work: Tutorials in mathematical biosciences II. Mathematical modeling of calcium dynamics and signal transduction.
cites work: Propagation of Periodic Patterns in a Discrete System with Competing Interactions
OpenAlex ID: W2969664568
Wikidata QID: Q127348042
description: scientific article; zbMATH DE number 7098239