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Pattern Formation in Continuous and Coupled Systems pp 11–24Cite as

Chaotic Intermittency of Patterns in Symmetric Systems

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((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.

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Submitted to proceedings of IMA Workshop on pattern formation in coupled and continuous systems, May 1998.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Surrey, Guildford, GU2 5XH, UK

    Peter Ashwin

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  1. Peter Ashwin
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Editors and Affiliations

  1. Department of Mathematics, University of Houston, Houston, TX, 77204-4792, USA

    Martin Golubitsky

  2. Department of Chemical Engineering, University of Houston, Houston, TX, 77204-4792, USA

    Dan Luss

  3. Theoretical and Applied Mechanics, Cornell University, Ithaca, NY, 14853, USA

    Steven H. Strogatz

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Ashwin, P. (1999). Chaotic Intermittency of Patterns in Symmetric Systems. In: Golubitsky, M., Luss, D., Strogatz, S.H. (eds) Pattern Formation in Continuous and Coupled Systems. The IMA Volumes in Mathematics and its Applications, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1558-5_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1558-5_2

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  • Print ISBN: 978-1-4612-7192-5

  • Online ISBN: 978-1-4612-1558-5

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