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Chaos in Astrophysics

  • Book
  • © 1985

Overview

Editors:
  1. J. R. Buchler

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

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  2. J. M. Perdang

    1. Astrophysical Institute, Liège, Belgium

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  3. E. A. Spiegel

    1. Astronomy Department, Columbia University, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 161)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvi
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  2. A Matter of Stability: Professor Paul Ledoux

    • J. R. Buchler, J. M. Perdang, E. A. Spiegel
    Pages 1-9

  3. Irregular Stellar Variability

    • J. Perdang
    Pages 11-89

  4. Cosmic Arrhythmias

    • E. A. Spiegel
    Pages 91-135

  5. A Perturbative Approach to Stellar Pulsations

    • J. Robert Buchler
    Pages 137-163

  6. Chaos and Noise

    • T. Geisel
    Pages 165-183

  7. Clues to Strange Attractors

    • John Guckenheimer
    Pages 185-191

  8. Information Aspects of Strange Attractors

    • P. Grassberger
    Pages 193-222

  9. On the Rapid Generation of Magnetic Fields

    • S. Childress, A. M. Soward
    Pages 223-244

  10. Ordered and Chaotic Motions in Hamiltonian Systems and the Problem of Energy Partition

    • Luigi Galgani
    Pages 245-257

  11. The Transition to Chaos in Galactic Models of Two and Three Degrees of Freedom

    • G. Contopoulos
    Pages 259-271

  12. Nonlinear Nonradial Adiabatic Stellar Oscillations: Numerical Results for Many-Mode Couplings

    • W. Däppen
    Pages 273-284

  13. Chaotic Oscillations in a Simple Stellar Model — A Mechanism for Irregular Variability

    • Oded Regev, J. Robert Buchler
    Pages 285-293

  14. X-ray Bursters - The Hot Road to Chaos?

    • Odev Regev, Mario Livio
    Pages 295-304

  15. Compressible MHD Turbulence: An Efficient Mechanism to Heat Stellar Coronae

    • Marco Pettini, Luigi Nocera, Angelo Vulpiani
    Pages 305-316

  16. Back Matter

    Pages 317-326
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Keywords

About this book

The per iod of an oscillator tells us much about its structure. J. J. Thomson's deduction that a particle with the e/rn of an electron was in the atom is perhaps the most stunning instance. For us, the deduction of the mean density of a star from its oscillation period is another important example. What then can we deduce about an oscillator that is not periodic? If there are several frequencies or if the behavior is chaotic, may we not hope to learn even more delicate vital statistics about its workings? The recent progress in the theory of dynamical systems, particularly in the elucidat ion of the nature of chaos, makes it seem reasonable to ask this now. This is an account of some of the happenings of a workshop at which this question was raised and discussed. ~iTe were inc0rested in seeing ways in which the present understanding of chaos might guide astrophysical modelling and the interpretation of observations. But we did not try to conceal that we were also interested in chaos itself, and that made for a pleasant rapport between the chaoticists and astrophysicists at the meeting. We have several introductory papers on chaos in these proceedings, particularly on the analysis of data from systems that may be suspected of chaotic behavior. The papers of Geisel, Grassberger and Guckenheimer introduce the ways of characterizing chaos and Perdang illustrates how some of these ideas may be put into practice in explicit cases.

Editors and Affiliations

  • Physics Department, University of Florida, Gainesville, USA

    J. R. Buchler

  • Astrophysical Institute, Liège, Belgium

    J. M. Perdang

  • Astronomy Department, Columbia University, USA

    E. A. Spiegel

Bibliographic Information

  • Book Title: Chaos in Astrophysics

  • Editors: J. R. Buchler, J. M. Perdang, E. A. Spiegel

  • Series Title: Nato Science Series C:

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

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1985

  • Hardcover ISBN: 978-90-277-2125-9Published: 31 October 1985

  • Softcover ISBN: 978-94-010-8914-2Published: 10 January 2012

  • eBook ISBN: 978-94-009-5468-7Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XVI, 326

  • Topics: Astrophysics and Astroparticles

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