Topology and Dynamics of Chaos
Topology and Dynamics of Chaos
Topology and Dynamics of Chaos
Topology and Dynamics of Chaos

Topology and Dynamics of Chaos

In Celebration of Robert Gilmore's 70th Birthday

Curated by Robert Gilmore, Christophe Letellier
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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 Rossler, Rene 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 Rossler and not just the "Rossler attractor"; Gumowski and Mira's constributions in electronics; Poincare's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.
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About this Edition

Language

Publication Date

Mar 14, 2013

Format

Hardcover

Number of Pages

300

ISBN

9789814434850

ISBN-13

9789814434850