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Stable Chaos

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Nonlinear Dynamics and Chaos: Advances and Perspectives

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Stable chaos is a generalization of the chaotic behaviour exhibited by cellular automata to continuous-variable systems and it owes its name to an underlying irregular and yet linearly stable dynamics. In this review we discuss analogies and differences with the usual deterministic chaos and introduce several tools for its characterization. Some examples of transitions from ordered behavior to stable chaos are also analyzed to further clarify the underlying dynamical properties. Finally, two models are specifically discussed: the diatomic hard-point gas chain and a network of globally coupled neurons.

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Authors and Affiliations

  1. Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, I-50019, Sesto Fiorentino, Italy

    Antonio Politi & Alessandro Torcini

  2. Centro Studi Dinamiche Complesse, I-50019, Sesto Fiorentino, Italy

    Antonio Politi & Alessandro Torcini

  3. Istituto Nazionale Fisica Nucleare -Sezione di Firenze, I-50019, Sesto Fiorentino, Italy

    Alessandro Torcini

Authors
  1. Antonio Politi
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  2. Alessandro Torcini
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Corresponding author

Correspondence to Antonio Politi .

Editor information

Editors and Affiliations

  1. Dept. Physics, University of Aberdeen, Regent Wald, Aberdeen, AB9 2UE, United Kingdom

    Marco Thiel

  2. Climate Impact Research (PIK), Potsdam Institut for, Telegrafenberg A3131 A, Potsdam, 14473, Germany

    Jürgen Kurths

  3. Dept. Physics, University of Aberdeen, Regent Wald, Aberdeen, AB9 2UE, United Kingdom

    M. Carmen Romano

  4. UCB Magyarorszag KFT, Hüvösvölgyi ut 54, Budapest, 1021, Hungary

    György Károlyi

  5. Kings College, Dept. Physics, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom

    Alessandro Moura

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© 2010 Springer-Verlag Berlin Heidelberg

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Politi, A., Torcini, A. (2010). Stable Chaos. In: Thiel, M., Kurths, J., Romano, M., Károlyi, G., Moura, A. (eds) Nonlinear Dynamics and Chaos: Advances and Perspectives. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04629-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-04629-2_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04628-5

  • Online ISBN: 978-3-642-04629-2

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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