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Chaotic Intermittency of Patterns in Symmetric Systems

  • Peter Ashwin
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 115)

Abstract

We examine some properties of attractors for symmetric dynamical systems that show what we refer to as ‘chaotic intermittency’. These are attractors that contain points with several different symmetry types, with the consequence that attracted trajectories come arbitrarily close to possessing a variety of different symmetries. Such attractors include heteroclinic attractors, on-off and in-out intermittency and cycling chaos. We indicate how they can be created at bifurcation, some open problems and further reading.

Keywords

Lyapunov Exponent Invariant Subspace Invariant Manifold Chaotic Attractor Symmetric System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Peter Ashwin
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of SurreyGuildfordUK

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