Regular and Chaotic Motions in Dynamic Systems

  • G. Velo
  • A. S. Wightman

Table of contents

  1. Front Matter
    Pages i-viii
  2. Leo P. Kadanoff
    Pages 27-72
  3. Oscar E. Lanford III
    Pages 73-102
  4. Sheldon Newhouse
    Pages 103-184
  5. Giovanni Gallavotti
    Pages 185-231
  6. Pierre Collet, Jean-Pierre Eckmann
    Pages 233-265
  7. Eugene Trubowitz
    Pages 267-291
  8. Back Matter
    Pages 293-310

About this book

Introduction

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.

Keywords

Plasma Renormalization group classical mechanics dynamical system dynamical systems dynamics invariant mathematical physics mechanics physics solution stability turbulence

Editors and affiliations

  • G. Velo
    • 1
  • A. S. Wightman
    • 2
  1. 1.Institute of PhysicsUniversity of BolognaBolognaItaly
  2. 2.Princeton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-1221-5
  • Copyright Information Springer-Verlag US 1985
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-1223-9
  • Online ISBN 978-1-4684-1221-5
  • About this book