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Bifurcation From Periodic Solutions with Spatiotemporal Symmetry

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Pattern Formation in Continuous and Coupled Systems

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

Abstract

In this paper, we discuss some recent developments in the understanding of generic bifurcation from periodic solutions with spatiotemporal symmetries. We focus mainly on the theory for bifurcation from isolated periodic solutions in dynamical systems with a compact symmetry group. Moreover, we discuss how our theory justifies certain heuristic assumptions underlying previous approaches towards period preserving and period doubling bifurcation from periodic solutions.

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Supported by a Talent Stipendium of the Netherlands Organization for Scientific Research (NWO), Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA.

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Authors and Affiliations

  1. Department of Mathematics, University of Houston, Houston, TX, 77204-3476, USA

    Jeroen S. W. Lamb & Ian Melbourne

Authors
  1. Jeroen S. W. Lamb
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  2. Ian Melbourne
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Editor information

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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© 1999 Springer Science+Business Media New York

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Lamb, J.S.W., Melbourne, I. (1999). Bifurcation From Periodic Solutions with Spatiotemporal Symmetry. 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_14

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  • DOI: https://doi.org/10.1007/978-1-4612-1558-5_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7192-5

  • Online ISBN: 978-1-4612-1558-5

  • eBook Packages: Springer Book Archive

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