Attractor bifurcation for extended Fisher-Kolmogorov equation
type: Item
instance of: scholarly article
title: Attractor bifurcation for extended Fisher-Kolmogorov equation
zbMATH Open document ID: 1293.35050
DOI: 10.1155/2013/365436
author: Honglian You
author: Rong Yuan
author: Ziheng Zhang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We consider the asymptotic stability and attractor bifurcation of the extended Fisher-Kolmogorov equation on the one-dimensional domain \((0,\pi)\) with Dirichlet or periodic boundary conditions. The novelty of this paper is that, based on a new method called attractor bifurcation, we investigate the existence of an attractor bifurcated from the trivial solution and give an explicit description of the bifurcated attractor. Moreover, the stability of the bifurcated branches is discussed.
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 6306693
zbMATH Keywords: one space dimension
zbMATH Keywords: Dirichlet boundary condition
zbMATH Keywords: periodic boundary condition
MaRDI profile type: Publication
Wikidata QID: Q58916050
full work available at URL: https://doi.org/10.1155/2013/365436
OpenAlex ID: W2163001600
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description: scientific article; zbMATH DE number 6306693