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Erschienen in:
1999 | OriginalPaper | Buchkapitel
Bifurcation From Periodic Solutions with Spatiotemporal Symmetry
verfasst von : Jeroen S. W. Lamb, Ian Melbourne
Erschienen in: Pattern Formation in Continuous and Coupled Systems
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In this paper, we discuss some recent developments in the understanding of generic bifurcation from periodic solutions with spatiotemporal symmetries. We focus mainly on the theory for bifurcation from isolated periodic solutions in dynamical systems with a compact symmetry group. Moreover, we discuss how our theory justifies certain heuristic assumptions underlying previous approaches towards period preserving and period doubling bifurcation from periodic solutions.