The chaos avant-garde : memories of the early days of chaos theory

書誌事項

The chaos avant-garde : memories of the early days of chaos theory

editors, Ralph Abraham, Yoshisuke Ueda

(World Scientific series on nonlinear science / editor, Leon O. Chua, ser. A ; Monographs and treatises ; v. 39)

World Scientific, c2000

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time — two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler.

目次

  • On how I got started in dynamical systems 1959-1962, S. Smale
  • finding a horseshoe on the beaches of Rio, S. Smale
  • strange attractors and the origin of chaos, Y. Ueda
  • my encounter with chaos, Y. Ueda
  • reflections on the origin of the broken-egg chaotic attractor, Y. Ueda
  • the chaos revolution - a personal view, R. Abraham
  • the butterfly effect, E. Lorenz
  • I. Gumowski and a Toulouse research group in the "prehistoric" times of chaotic dynamics, C. Mira
  • the turbulence paper of D. Ruelle & F. Takens, F. Takens
  • exploring chaos on an interval, T.Y. Li and J.A. Yorke
  • chaos, hyperchaos and the double-perspective, O.E. Rossler.

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