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Structural Stability in Physics

Proceedings of Two International Symposia on Applications of Catastrophe Theory and Topological Concepts in Physics Tübingen, Fed. Rep. of Germany, May 2–6 and December 11–14, 1978

  • Werner Güttinger
  • Horst Eikemeier

Part of the Springer Series in Synergetics book series (SSSYN, volume 4)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Werner Güttinger, Horst Eikemeier
      Pages 1-2
  3. General Concepts

    1. Front Matter
      Pages 3-3
    2. E. C. Zeeman
      Pages 12-22
  4. Topological Aspects of Wave Motion

    1. Front Matter
      Pages 41-41
  5. Catastrophes in Infinite Dimensions

    1. Front Matter
      Pages 61-61
    2. Robert Magnus, Tim Poston
      Pages 63-83
    3. G. Dangelmayr, W. Güttinger, W. Veit
      Pages 104-121
  6. Defects and Dislocations

    1. Front Matter
      Pages 127-127
    2. René Thom
      Pages 129-133
  7. Statistical Mechanics and Phase Transitions

    1. Front Matter
      Pages 157-157
    2. Mario Rasetti
      Pages 159-175
    3. K. Keller, G. Dangelmayr, H. Eikemeier
      Pages 186-198
    4. W. T. Grandy Jr.
      Pages 210-215
  8. Solitons

    1. Front Matter
      Pages 217-217
    2. R. K. Bullough, R. K. Dodd
      Pages 219-232
    3. R. K. Bullough, R. K. Dodd
      Pages 233-253
    4. P. W. Kitchenside, R. K. Bullough, P. J. Caudrey
      Pages 254-265
  9. Dynamical Systems

    1. Front Matter
      Pages 267-267
    2. R. Brause, M. Dal Cin
      Pages 269-274
    3. Otto E. Rössler
      Pages 290-309
  10. Back Matter
    Pages 311-311

About these proceedings

Introduction

This volume is the record and product of two International Symposia on the Appli­ cation of Catastrophe Theory and Topological Concepts in Physics, held in May and December 1978 at the Institute for Information Sciences, University of TUbingen. The May Symposium centered around the conferral of an honorary doctorate upon Professor Rene Thom, Paris, by the Faculty of Physics of the University of TUbingen in recognition of his discovery of universal structure principles and the new di­ mension he has added to scientific knowledge by his pioneering work on structural stability and morphogenesis. Owing to the broad scope and rapid development of the field, the May Sympos,ium was followed in December by a second one on the same sub­ jects. The symposia, attended by more than 50 scientists, brought together mathe­ maticians, physicists, chemists and biologists to exchange ideas about the recent faSCinating impact of topological concepts on the physical sciences, and also to introduce young scientists to the field. The contributions, covering a wide spectrum, are summarized in the subsequent Introduction. The primary support of the Symposia was provided by the "Vereinigung der Freunde der Univertat TUbingen" (Association of the Benefactors of the University). We are particularly indebted to Dr. H. Doerner for his personal engagement and efficient help with the projects, both in his capacity as Secretary of the Association and as Administrative Director of the University.

Keywords

catastrophe theory diffraction dynamical systems fields fold catastrophe fractal mechanics phase diagram philosophy physics quantum mechanics spin stability statistical mechanics wave

Editors and affiliations

  • Werner Güttinger
    • 1
    • 2
  • Horst Eikemeier
    • 1
  1. 1.Institute for Information SciencesUniversity of TübingenTübingenFed. Rep. of Germany
  2. 2.Department of Physics and AstronomyUniversity of WyomingLaramieUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-67363-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1979
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-67365-8
  • Online ISBN 978-3-642-67363-4
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site