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Chaos in Astrophysics

  • J. R. Buchler
  • J. M. Perdang
  • E. A. Spiegel

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

Table of contents

  1. Front Matter
    Pages i-xvi
  2. J. R. Buchler, J. M. Perdang, E. A. Spiegel
    Pages 1-9
  3. J. Perdang
    Pages 11-89
  4. E. A. Spiegel
    Pages 91-135
  5. J. Robert Buchler
    Pages 137-163
  6. T. Geisel
    Pages 165-183
  7. John Guckenheimer
    Pages 185-191
  8. P. Grassberger
    Pages 193-222
  9. S. Childress, A. M. Soward
    Pages 223-244
  10. Odev Regev, Mario Livio
    Pages 295-304
  11. Marco Pettini, Luigi Nocera, Angelo Vulpiani
    Pages 305-316
  12. Back Matter
    Pages 317-326

About this book

Introduction

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.

Keywords

astrophysics star turbulence

Editors and affiliations

  • J. R. Buchler
    • 1
  • J. M. Perdang
    • 2
  • E. A. Spiegel
    • 3
  1. 1.Physics DepartmentUniversity of FloridaGainesvilleUSA
  2. 2.Astrophysical InstituteLiègeBelgium
  3. 3.Astronomy DepartmentColumbia UniversityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5468-7
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8914-2
  • Online ISBN 978-94-009-5468-7
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site
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