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Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday /

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內容簡介top Topology and Dynamics of Chaos 簡介 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飉sler, 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飉sler and not just the 飉sler attractor? Gumowski and Mira's constributions in electronics; Poincar?s heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.

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