Topology and Dynamics of Chaos In Celebration of Robert Gilmore's 70th Birthday

Name: Topology and Dynamics of Chaos In Celebration of Robert Gilmore's 70th Birthday
Price: 91.07 USD
Availability: InStock
ISBN: 9789814434850

ISBN-10: 981443485X

ISBN-13: 9789814434850

Edition: 2013

Authors: Christophe Letellier, Robert Gilmore, Universitï¿½ de Rouen Staff

List price: $108.00

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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 Rössler, René 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…

Book details

List price: $108.00
Copyright year: 2013
Publisher: World Scientific Publishing Co Pte Ltd
Publication date: 1/11/2013
Binding: Hardcover
Pages: 364
Size: 6.75" wide x 10.00" long x 1.00" tall
Weight: 1.694
Language: English



Preface



Introduction to topological analysis



Emergence of a Chaos Theory



The peregrinations of Poincarï¿½




A Toulouse research group in the "prehistoric" times of chaotic dynamics




Can we trust in numerical computations of chaotic solution of dynamical systems?




Chaos hierarchy - A review, thirty years later



Development of the Topology of Chaos



The mathematics of Lorenz knots




A braided view of a knotty story




How topology came to chaos




Reflections from the fourth dimension




The symmetry of chaos



Applications of Chaos Theory



The shape of ocean color




Low dimensional dynamics in biological motor patterns




Minimal smooth chaotic flows




The chaotic marriage of physics and financial economics




Introduction of the sphere map with application to spin-torque nano-oscillators




Robert Gilmore, a portrait



Author Index


Subject Index