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Spatio-Temporal Chaos

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Foundations of Synergetics II

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 52))

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Abstract

So far, we have considered only systems which are not distributed (i.e. are described by a finite set of differential equations). However, the majority of the results obtained are also applicable to distributed active systems, provided that spatial coherence of the patterns is maintained. Because of the long-range spatial order, the dynamics of coherent patterns can be effectively described by models involving only a small number of independent variables. As we already know, this does not exclude that the temporal behavior of a pattern will be chaotic (i.e. that long-range temporal order will be absent). In the latter case, the resulting regime can be described as “early” (or few-mode) turbulence.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, SU-117234, Moscow, USSR

    Professor Alexander S. Mikhailov & Professor Alexander Yu. Loskutov

  2. Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Pfaffenwaldring 57/IV, W-7000, Stuttgart 80, Fed. Rep. of Germany

    Professor Alexander S. Mikhailov

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  1. Professor Alexander S. Mikhailov
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  2. Professor Alexander Yu. Loskutov
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© 1991 Springer-Verlag Berlin Heidelberg

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Mikhailov, A.S., Loskutov, A.Y. (1991). Spatio-Temporal Chaos. In: Foundations of Synergetics II. Springer Series in Synergetics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97294-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-97294-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97296-6

  • Online ISBN: 978-3-642-97294-2

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