Dynamical Behavior of Patterns with Euclidean Symmetry

  • BjöRn Sandstede
  • Arnd Scheel
  • Claudia Wulff
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 115)


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.

Key words

Spiral waves twisted scroll waves Euclidean symmetry meandering, drifting. 


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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • BjöRn Sandstede
    • 1
  • Arnd Scheel
    • 2
  • Claudia Wulff
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Institut für Mathematik IFreie Universität BerlinBerlinGermany

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