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Chaos in Astrophysics pp 193–222Cite as

Information Aspects of Strange Attractors

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Part of the book series: NATO ASI Series ((ASIC,volume 161))

Abstract

The unpredictability of chaotic motion is related to an information flow associated with it. Topics discussed in the present talk are: (i) the analogy with the second law of thermodynamics, (ii) the relation between the information flow rate ( = Kolmogorov entropy), Lyapunov exponents, and dimensions of the attractor, (iii) the discussion of generalized dimensions and entropies related to the flow of Renyi informations, (iv) the measurements of these in real and computer experiments, and (v) the flow on repellers and along unstable orbits, often leading to long-lived metastable transients.

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Authors
  1. P. Grassberger
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Editor information

Editors and Affiliations

  1. Physics Department, University of Florida, Gainesville, USA

    J. R. Buchler

  2. Astrophysical Institute, Liège, Belgium

    J. M. Perdang

  3. Astronomy Department, Columbia University, New York, USA

    E. A. Spiegel

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© 1985 D. Reidel Publishing Company, Dordrecht, Holland

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Grassberger, P. (1985). Information Aspects of Strange Attractors. In: Buchler, J.R., Perdang, J.M., Spiegel, E.A. (eds) Chaos in Astrophysics. NATO ASI Series, vol 161. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5468-7_7

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  • DOI: https://doi.org/10.1007/978-94-009-5468-7_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8914-2

  • Online ISBN: 978-94-009-5468-7

  • eBook Packages: Springer Book Archive

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