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Regular and Chaotic Motions in Dynamic Systems

  • Book
  • © 1985

Overview

Editors:
  1. G. Velo

    1. Institute of Physics, University of Bologna, Bologna, Italy

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  2. A. S. Wightman

    1. Princeton University, Princeton, USA

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Part of the book series: NATO Science Series B: (NSSB, volume 118)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Regular and Chaotic Motions in Dynamical Systems Introduction to the Problems

    • A. S. Wightman
    Pages 1-26

  3. Applications of Scaling Ideas to Dynamics

    • Leo P. Kadanoff
    Pages 27-72

  4. Introduction to Hyperbolic Sets

    • Oscar E. Lanford III
    Pages 73-102

  5. Topics in Conservative Dynamics

    • Sheldon Newhouse
    Pages 103-184

  6. Classical Mechanics and Renormalization Group

    • Giovanni Gallavotti
    Pages 185-231

  7. Measures Invariant under Mappings of the Unit Interval

    • Pierre Collet, Jean-Pierre Eckmann
    Pages 233-265

  8. Integrable Dynamical Systems

    • Eugene Trubowitz
    Pages 267-291

  9. Back Matter

    Pages 293-310
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Keywords

About this book

The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to'Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in­ dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution.

Editors and Affiliations

  • Institute of Physics, University of Bologna, Bologna, Italy

    G. Velo

  • Princeton University, Princeton, USA

    A. S. Wightman

Bibliographic Information

  • Book Title: Regular and Chaotic Motions in Dynamic Systems

  • Editors: G. Velo, A. S. Wightman

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4684-1221-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1985

  • Softcover ISBN: 978-1-4684-1223-9Published: 30 April 2013

  • eBook ISBN: 978-1-4684-1221-5Published: 29 June 2013

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: VIII, 310

  • Number of Illustrations: 24 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics

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