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Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, CORIA - University of Rouen, France, Robert Gilmore, Drexel University, USA.

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Format:
Book
Conference/Event
Author/Creator:
From Laser Dynamics to Topology of Chaos (Workshop), Corporate Author.
Contributor:
Université de Rouen.
Letellier, Christophe, editor.
Gilmore, Robert, 1941- honoree, editor.
Conference Name:
From Laser Dynamics to Topology of Chaos (Workshop) (2011 : Rouen, France), issuing body.
From Laser Dynamics to Topology of Chaos (Workshop)
Series:
World Scientific series on nonlinear science. Monographs and treatises ; Series A, v. 84.
World scientific series on nonlinear science. Series A, Monographs and treatises, 1793-1010 ; volume 84
Language:
English
Subjects (All):
Attractors (Mathematics)--Congresses.
Attractors (Mathematics).
Chaotic behavior in systems--Congresses.
Chaotic behavior in systems.
Physical Description:
1 online resource (x, 351 pages) : illustrations (some color).
Place of Publication:
New Jersey : World Scientific, [2013]
Language Note:
English
Summary:
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 ch
Contents:
Introduction to topological analysis / Christophe Letellier and Robert Gilmore
The peregrinations of Poincaré / R. Abraham
A Toulouse research group in the "prehistoric" times of chaotic dynamics / Christian Mira
Can we trust in numerical computations of chaotic solutions of dynamical systems? / René Lozi
Chaos hierarchy - a review, thirty years later / Otto E. R̈össler and Christophe Letellier
The mathematics of Lorenz knots / Joan S. Birman
A braided view of a knotty story / Mario Natiello and Hernán Solari
How topology came to chaos / Robert Gilmore
Reflections from the fourth dimension / Marc Lefranc
The symmetry of chaos / Christophe Letellier
The shape of ocean color / Nicholas Tufillaro
Low Dimensional dynamics in biological motor patterns / Gabriel B. Mindlin
Minimal smooth chaotic flows / Jean-Marc Malasoma
The chaotic marriage of physics and financial economics / Claire Gilmore
Introduction of the sphere map with application to spin-torque nano-oscillators / Keith Gilmore and Robert Gilmore
Robert Gilmore, a portrait / Hernán G. Solari.
Notes:
Description based upon print version of record.
Includes bibliographical references and indexes.
Description based on print version record.
ISBN:
9789814434867
9814434868
OCLC:
844310930

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