Bifurcations of Nonconstant Solutions of the Ginzburg-Landau Equation

We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.

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Bibliographic Details
Main Authors: Norimichi Hirano, Sławomir Rybicki
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/560975
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Summary:We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
ISSN:1085-3375
1687-0409