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Precursors of Period Doubling Instabilities

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Fluctuations and Sensitivity in Nonequilibrium Systems

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 1))

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Abstract

Period doubling is a common instability observed in systems displaying time periodic behavior. The period doubling cascade — an infinite sequence of these instabilities occurring over a finite parameter range — is probably the most familiar “route to chaos” [1,2]. Of course, a period doubling need not signal an infinite set of bifurcations: the interest in them goes far beyond the possibility of chaotic dynamics. Superconducting nonlinear circuits [3], convective fluid layers [4,5], and periodically stimulated chicken cardiac cells [6] are among the physical systems observed to display period doubling instabilities.

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References

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Author information

Authors and Affiliations

  1. Physics Department, University of California, Berkeley, CA, 94720, USA

    K. Wiesenfeld

Authors
  1. K. Wiesenfeld
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Editor information

Editors and Affiliations

  1. Department of Physics, Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Werner Horsthemke

  2. Center for Studies in Statistical Mechanics, University of Texas, Austin, TX, 78712, USA

    Dilip K. Kondepudi PhD

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© 1984 Springer-Verlag Berlin Heidelberg

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Wiesenfeld, K. (1984). Precursors of Period Doubling Instabilities. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_35

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  • DOI: https://doi.org/10.1007/978-3-642-46508-6_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46510-9

  • Online ISBN: 978-3-642-46508-6

  • eBook Packages: Springer Book Archive

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