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1999 | OriginalPaper | Chapter

Dynamical Behavior of Patterns with Euclidean Symmetry

Authors : BjöRn Sandstede, Arnd Scheel, Claudia Wulff

Published in: Pattern Formation in Continuous and Coupled Systems

Publisher: Springer New York

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Recent results on the dynamical behavior of patterns in two and three spatial dimensions are reviewed. Based upon spatio-temporal symmetries of patterns, it is shown that transitions to other patterns can be explained by analyzing low-dimensional model equations. Examples include the dynamics of periodically forced twisted scroll waves and transitions from rigidly-rotating spiral waves to meandering or drifting spirals.

Metadata
Title
Dynamical Behavior of Patterns with Euclidean Symmetry
Authors
BjöRn Sandstede
Arnd Scheel
Claudia Wulff
Copyright Year
1999
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-1558-5_19

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