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On the analytic structure of chaos in dynamical systems

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Dynamical System and Chaos

Part of the book series: Lecture Notes in Physics ((LNP,volume 179))

Abstract

A number of new and exciting results on the chaotic properties of dynamical systems have been recently obtained by studying their movable singularities in the complex time plane. New, integrable systems were identified by requiring that their solutions admit only poles. Allowing for logarithmic singularities, it has been possible to distinguish between “strongly” and “weakly” chaotic Hamiltonian systems, while in some cases natural boundaries with self-similar structure have been found. The analysis is direct, widely applicable and is illustrated here on some simple examples.

1982–83: On leave at the Institute for Theoretical Physics, Valckenierstraat 65, 1018 XE, Amsterdam, The Netherlands

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Clarkson College of Technology, 13676, Potsdam, N. Y.

    Tassos Bountis

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  1. Tassos Bountis
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Luis Garrido

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© 1983 Springer-Verlag

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Bountis, T. (1983). On the analytic structure of chaos in dynamical systems. In: Garrido, L. (eds) Dynamical System and Chaos. Lecture Notes in Physics, vol 179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12276-1_21

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  • DOI: https://doi.org/10.1007/3-540-12276-1_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12276-0

  • Online ISBN: 978-3-540-39594-2

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