The existence and stability of spike equilibria in the one-dimensional Gray -- Scott model on a finite domain
type: Item
instance of: scholarly article
title: The existence and stability of spike equilibria in the one-dimensional Gray -- Scott model on a finite domain
zbMATH Open document ID: 1125.35048
author: Theodore Kolokolnikov
author: Michael J. Ward
author: Juncheng Wei
published in: Applied Mathematics Letters
publication date: 2006-01-24T00:00:00Z
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5001495
zbMATH Keywords: spike patterns
zbMATH Keywords: nonlocal eigenvalue problem
zbMATH Keywords: oscillatory instability
zbMATH Keywords: pulse-splitting
MaRDI profile type: Publication
full work available at URL: j.aml.2004.06.024
OpenAlex ID: W1975510591
cites work: The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime
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cites work: Q5110819
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cites work: Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
cites work: A stability index analysis of 1-D patterns of the Gray-Scott model
cites work: Stability of the Static Spike Autosolitons in the Gray--Scott Model
cites work: Slowly modulated two-pulse solutions in the Gray--Scott model. II: Geometric theory, bifurcations, and splitting dynamics
cites work: A skeleton structure of self-replicating dynamics
cites work: Spatio-temporal chaos for the Gray-Scott model
cites work: \(2^n\)-splitting or edge-splitting? A manner of splitting in dissipative systems
DOI: 10.1016/J.AML.2004.06.024
description: scientific article; zbMATH DE number 5001495