| Topology and Dynamics of Chaos: In Celebration of Robert Gilmore's 70th Birthday Contributor(s): Letellier, Christophe (Editor), Gilmore, Robert (Editor) |
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ISBN: 981443485X ISBN-13: 9789814434850 Publisher: World Scientific Publishing Company OUR PRICE: $124.45 Product Type: Hardcover - Other Formats Published: March 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Topology - General - Science | Chaotic Behavior In Systems |
| Dewey: 514.74 |
| Series: World Scientific Nonlinear Science Series a |
| Physical Information: 0.9" H x 6.5" W x 9.8" (1.70 lbs) 364 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto R ssler, Ren Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical -- not necessarily widely known -- contributions (about the different types of chaos introduced by R ssler and not just the "R ssler attractor"; Gumowski and Mira's contributions in electronics; Poincar 's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc. |