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
Included in: Professional Book Archive
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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.