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EbookNice Team
Status:
Available4.8
13 reviewsISBN 10: 9810244045
ISBN 13: 9789810244040
Author: Ralph Abraham, Yoshisuke Ueda
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.
1. Introduction. Birth of the group. Approach of dynamic problems (processes).
2. First Contact with Complex Dynamics (1958-1960)
3. Basin Boundaries of Two-Dimensional Noninvertible Maps (1963-1975)
4. Chaotic Attractors of Two-Dimensional Noninvertible Maps (1968-1975)
5. Normal Forms for Resonant Bifurcations (1969-1974)
6. Two-Dimensional Conservative Maps (1970-1975)
7. Study of One-Dimensional Non-invertible Maps (from 1972)
8. Applications
9. The International Colloquium " Transformations Ponctuelles et leurs Applications" (Point mapping
10. Conclusion
References
9. The Turbulence Paper of D. Ruelle and F. Takens
10. Exploring Chaos on an Interval
References
11. Chaos Hyperchaos and the Double-Perspective
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Tags: Ralph Abraham, Yoshisuke Ueda, Chaos, Memoirs