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Bifurcation analysis of a modified Swift–Hohenberg equation

Authors :
Xiao, Qingkun
Gao, Hongjun
Source :
Nonlinear Analysis: Real World Applications. Oct2010, Vol. 11 Issue 5, p4451-4464. 14p.
Publication Year :
2010

Abstract

Abstract: In this paper, bifurcation of a modified Swift–Hohenberg equation in two spatial dimension with periodic boundary conditions is considered, By using the perturbation method, asymptotic expressions of the nontrivial solutions bifurcated from the trivial solution are obtained. Moreover, the stability of the bifurcated solutions is discussed. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BIFURCATION theory
*PARTIAL differential equations
*PERIODIC functions
*ASYMPTOTIC theory of boundary value problems
*PERTURBATION theory
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
14681218
Volume :
11
Issue :
5
Database :
Academic Search Index
Journal :
Nonlinear Analysis: Real World Applications
Publication Type :
Academic Journal
Accession number :
52913677
Full Text :
https://doi.org/10.1016/j.nonrwa.2010.05.028
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