The Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory (World Scientific Series on Nonlinear Science, Series A, Volume 39)

A reference on the history of chaos theory, told by the pioneers themselves. It also provides a 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. Machine generated contents note: 1. On How I Got Started in Dynamical Systems 1959-19621 Steve Smale 2. Finding a Horseshoe on the Beaches of Rio7 Steve Smale 3. Strange Attractors and the Origin of Chaos23 Yoshisuke Ueda 4. My Encounter with Chaos57 Yoshisuke Ueda 5. Reflections on the Origin of the Broken-Egg Chaotic Attractor65 Yoshisuke Ueda 6. The Chaos Revolution: A Personal View81 Ralph Abraham 7. The Butterfly Effect91 Edward Lorenz 8. I. Gumowski and a Toulouse Research Group in the "Prehistoric" Times of Chaotic Dynamics95 Christian Mira 9. The Turbulence Paper of D. Ruelle and F. Takens199 Floris Takens vii 10. Exploring Chaos on an Interval201 T. Y Li and James A. Yorke 11. Chaos, Hyperchaos and the Double-Perspective209 Otto E. Rissler Sources221. 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. Contents: 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 Ori A reference on the history of chaos theory, told by the pioneers themselves. It also provides a historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time - including two by Steve Smale and three by Yoshisuke Ueda. A reference for the history of chaos theory, told by the pioneers themselves, and eleven other authoritative contributions. Provides a historical introduction to all of the concepts of chaos theory. Editors, Ralph Abraham, Yoshisuke Ueda. Includes Bibliographical References. 1. Let me first give a little mathematical background.