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Chaos and Order in Nature

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

  • Conference proceedings
  • © 1981

Overview

Editors:
  1. Hermann Haken

    1. Institut für Theoretische Physik, Universitä Stuttgart, Stuttgart 80, Fed. Rep. of Germany

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

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Table of contents (26 papers)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Chaos and Order in Nature

      • Hermann Haken
      Pages 2-11

  3. Fluid Dynamics. Order and Chaos in Fluid Dynamics

    1. Front Matter

      Pages 13-13
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    2. Rayleigh-Benard Convection in High Prandtl Number Fluid

      • P. Bergé
      Pages 14-24

    3. Rayleigh-Benard Experiment in a Low Prandtl Number Fluid, Mercury

      • S. Fauve, A. Libchaber
      Pages 25-35

    4. Transition to Turbulence Via the Statistical Limit Cycle Route

      • F. H. Busse
      Pages 36-44

    5. Divergence of Coherence Length and Excitation of Resonance in Taylor Vortex Flow

      • A. Brandstäter, G. Pfister, I. Rehberg, E. O. Schulz-DuBois
      Pages 45-48

    6. Non-Equilibrium Phase Transitions in a Kundt’s Tube

      • 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
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    2. Stochastization of Coherent Structures by a Periodic Field

      • I. S. Aranson, M. I. Rabinovich, M. M. Sushchik
      Pages 54-63

    3. Turbulence and Scaling in Solid State Physics

      • B. A. Huberman
      Pages 64-68

    4. Dynamic Instabilities Observed in the Belousov-Zhabotinsky System

      • C. Vidal
      Pages 69-82

  5. Instabilities and Bifurcations: Theoretical Approaches

    1. Front Matter

      Pages 83-83
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    2. Hopf-Landau Bifurcation Near Strange Attractors

      • George R. Sell
      Pages 84-91

    3. Dispersive Instabilities in Nonlinear Systems: The Real and Complex Lorenz Equation

      • J. D. Gibbon
      Pages 92-101

    4. Bifurcations and Multistability in Nonlinear Optics

      • D. F. Walls, P. Zoller, P. D. Drummond, C. V. Kunasz
      Pages 102-110

  6. Plasma Instabilities

    1. Front Matter

      Pages 111-111
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    2. Coherent Wave Interactions in Plasma and Active Molecular Media

      • Hans Wilhelmsson
      Pages 112-117

    3. Instability as a Property of Plasma States

      • E. Räuchle
      Pages 118-130
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Keywords

About this book

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.

Editors and Affiliations

  • Institut für Theoretische Physik, Universitä Stuttgart, Stuttgart 80, Fed. Rep. of Germany

    Hermann Haken

Bibliographic Information

  • Book Title: Chaos and Order in Nature

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

  • Editors: Hermann Haken

  • Series Title: Springer Series in Synergetics

  • DOI: https://doi.org/10.1007/978-3-642-68304-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-642-68306-0Published: 10 December 2011

  • eBook ISBN: 978-3-642-68304-6Published: 11 November 2013

  • Series ISSN: 0172-7389

  • Series E-ISSN: 2198-333X

  • Edition Number: 1

  • Number of Pages: VIII, 275

  • Topics: Biochemistry, general, Quantum Information Technology, Spintronics, Quantum Physics

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