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Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday /
The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review...
| Call Number: | Libro Electrónico |
|---|---|
| Corporate Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
Ã2013.
Ã2013 |
| Series: | World Scientific series on nonliear science. Monographs and treatises ;
v. 84. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- 1. Introduction to topological analysis / Christophe Letellier & Robert Gilmore
- 2. The peregrinations of Poincare / R. Abraham
- 3. A Toulouse research group in the "prehistoric" times of chaotic dynamics / Christian Mira
- 4. Can we trust in numerical computations of chaotic solutions of dynamical systems? / Rene Lozi
- 5. Chaos hierarchy
- a review, thirty years later / Otto E. Rossler & Christophe Letellier
- 6. The mathematics of Lorenz knots / Joan S. Birman
- 7. A braided view of a knotty story / Mario Natiello & Hernan Solari
- 8. How topology came to chaos / Robert Gilmore
- 9. Reflections from the fourth dimension / Marc Lefranc
- 10. The symmetry of chaos / Christophe Letellier
- 11. The shape of ocean color / Nicholas Tufillaro
- 12. Low dimensional dynamics in biological motor patterns / Gabriel B. Mindlin
- 13. Minimal smooth chaotic flows / Jean-Marc Malasoma
- 14. The chaotic marriage of physics and financial economics / Claire Gilmore
- 15. Introduction of the sphere map with application to spin-torque nano-oscillators / Keith Gilmore & Robert Gilmore
- 16. Robert Gilmore, a portrait / Hernan G. Solari.