Chaos and Order in Nature

Proceedings of the International Symposium on Synergetics at Schloß Elmau, Bavaria, April 27 – May 2, 1981

  • Hermann Haken
Conference proceedings

Part of the Springer Series in Synergetics book series (SSSYN, volume 11)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Hermann Haken
      Pages 2-11
  3. Fluid Dynamics. Order and Chaos in Fluid Dynamics

    1. Front Matter
      Pages 13-13
    2. A. Brandstäter, G. Pfister, I. Rehberg, E. O. Schulz-DuBois
      Pages 45-48
    3. A. Hübler, G. Schubert, G. Meyer-Kress
      Pages 49-52
  4. Chaos in Fluids, Solid State Physics, and Chemical Reactions

    1. Front Matter
      Pages 53-53
    2. I. S. Aranson, M. I. Rabinovich, M. M. Sushchik
      Pages 54-63
  5. Instabilities and Bifurcations: Theoretical Approaches

    1. Front Matter
      Pages 83-83
    2. D. F. Walls, P. Zoller, P. D. Drummond, C. V. Kunasz
      Pages 102-110
  6. Plasma Instabilities

    1. Front Matter
      Pages 111-111
    2. E. Räuchle
      Pages 118-130
    3. Hermann Krompholz, Gerd Herziger
      Pages 131-141
  7. Phase Transitions

  8. Path Integrals: Recent Developments

  9. General Systems Approaches

    1. Front Matter
      Pages 187-187
    2. Werner Ebeling
      Pages 188-195
    3. Werner Mende, Manfred Peschel
      Pages 196-206
  10. Morphogenesis

    1. Front Matter
      Pages 207-207
    2. Elio Parisi, Silvana Filosa, Alberto Monroy
      Pages 208-215
  11. Once Again in Chaos: Theoretical Approaches

    1. Front Matter
      Pages 217-217
    2. Robert Shaw
      Pages 218-231
    3. W. Briggs, A. C. Newell, T. Sarie
      Pages 269-273
  12. Back Matter
    Pages 275-278

About these proceedings


This book contains the invited papers of an international symposium on synergetics; which was held at Schlol3 Elmau, Bavaria, FRG, April 27 to May 1, 1981. At our previous meetings on synergetics the self-organized formation of structures in quite different disciplines stood in the foreground of our interest. More recently it has turned out that phenomena characterized by the word "chaos" appear in various disciplines, and again far-reaching analogies in the behavior of quite different systems become visible. Therefore this meeting was devoted not only to problems connected with the occurrence of ordered structures but also to most recent results obtained in the study of chaotic motion. In the strict mathematical sense we are dealing here with deterministic chaos, i. e. , irregular motion described by deter­ ministic equations. While in this relatively young fieJd of research computer ex­ periments and computer simulations predominated in the past, there now seems to be a change of trend, namely to study certain regular features of chaos by analytical metbods. I think considerable progress has been achieved in this respect quite recently. This theoretical work is paralleled by a number of very beautiful experi­ ments in different fields, e. g. , fluid dynamics, solid-state physics, and chemistry. For the first time at this kind of meeting we have included plasma physics, which presents a number of most fascinating problems with respect to instabilities, formation of structures, and related phenomena.


Chaos Synergetik bifurcation deterministic chaos Nonlinear system stability system

Editors and affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische PhysikUniversitä StuttgartStuttgart 80Fed. Rep. of Germany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-68306-0
  • Online ISBN 978-3-642-68304-6
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site