Verfügbarkeit: Topology and dynamics of chaos :

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

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...

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Körperschaft:	World Scientific (Firm)
Weitere Verfasser:	Letellier, Christophe, Gilmore, Robert, 1941-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2013. ©2013
Schriftenreihe:	World Scientific series on nonliear science. Monographs and treatises ; v. 84.
Schlagworte:	Chaotic behavior in systems. Chaos. SCIENCE > System Theory. TECHNOLOGY & ENGINEERING > Operations Research. Chaotic behavior in systems Conference papers and proceedings
Online-Zugang:	Volltext
Zusammenfassung:	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 contributions in electronics; Poincare's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc
Beschreibung:	1 online resource (x, 351 pages) : illustrations (some color), color map, portraits
Bibliographie:	Includes bibliographical references and indexes.
ISBN:	9789814434867 9814434868

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series2	World Scientific series on nonliear science. Series A, Monographs and treatises ;
spelling	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, Robert Gilmore. Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2013. ©2013 1 online resource (x, 351 pages) : illustrations (some color), color map, portraits text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific series on nonliear science. Series A, Monographs and treatises ; v. 84 Includes bibliographical references and indexes. 1. Introduction to topological analysis / Christophe Letellier & Robert Gilmore -- 2. The peregrinations of Poincare / R. Abraham -- 3. A Toulouse research group in the "prehistoric" times of chaotic dynamics / Christian Mira -- 4. Can we trust in numerical computations of chaotic solutions of dynamical systems? / Rene Lozi -- 5. Chaos hierarchy -- a review, thirty years later / Otto E. Rossler & Christophe Letellier -- 6. The mathematics of Lorenz knots / Joan S. Birman -- 7. A braided view of a knotty story / Mario Natiello & Hernan Solari -- 8. How topology came to chaos / Robert Gilmore -- 9. Reflections from the fourth dimension / Marc Lefranc -- 10. The symmetry of chaos / Christophe Letellier -- 11. The shape of ocean color / Nicholas Tufillaro -- 12. Low dimensional dynamics in biological motor patterns / Gabriel B. Mindlin -- 13. Minimal smooth chaotic flows / Jean-Marc Malasoma -- 14. The chaotic marriage of physics and financial economics / Claire Gilmore -- 15. Introduction of the sphere map with application to spin-torque nano-oscillators / Keith Gilmore & Robert Gilmore -- 16. Robert Gilmore, a portrait / Hernan G. Solari. 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 contributions in electronics; Poincare's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Chaos. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Chaotic behavior in systems fast Conference papers and proceedings fast Letellier, Christophe. Gilmore, Robert, 1941- http://id.loc.gov/authorities/names/n87844854 World Scientific (Firm) http://id.loc.gov/authorities/names/no2001005546 has work: Topology and dynamics of chaos (Text) https://id.oclc.org/worldcat/entity/E39PCGdbXQ4gyvhRqBwf3kPwQ3 https://id.oclc.org/worldcat/ontology/hasWork Print version: 9789814434850 World Scientific series on nonliear science. Series A, Monographs and treatises ; v. 84. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=689740 Volltext
spellingShingle	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / World Scientific series on nonliear science. Monographs and treatises ; 1. Introduction to topological analysis / Christophe Letellier & Robert Gilmore -- 2. The peregrinations of Poincare / R. Abraham -- 3. A Toulouse research group in the "prehistoric" times of chaotic dynamics / Christian Mira -- 4. Can we trust in numerical computations of chaotic solutions of dynamical systems? / Rene Lozi -- 5. Chaos hierarchy -- a review, thirty years later / Otto E. Rossler & Christophe Letellier -- 6. The mathematics of Lorenz knots / Joan S. Birman -- 7. A braided view of a knotty story / Mario Natiello & Hernan Solari -- 8. How topology came to chaos / Robert Gilmore -- 9. Reflections from the fourth dimension / Marc Lefranc -- 10. The symmetry of chaos / Christophe Letellier -- 11. The shape of ocean color / Nicholas Tufillaro -- 12. Low dimensional dynamics in biological motor patterns / Gabriel B. Mindlin -- 13. Minimal smooth chaotic flows / Jean-Marc Malasoma -- 14. The chaotic marriage of physics and financial economics / Claire Gilmore -- 15. Introduction of the sphere map with application to spin-torque nano-oscillators / Keith Gilmore & Robert Gilmore -- 16. Robert Gilmore, a portrait / Hernan G. Solari. Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Chaos. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Chaotic behavior in systems fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85022562
title	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday /
title_auth	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday /
title_exact_search	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday /
title_full	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, Robert Gilmore.
title_fullStr	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, Robert Gilmore.
title_full_unstemmed	Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, Robert Gilmore.
title_short	Topology and dynamics of chaos :
title_sort	topology and dynamics of chaos in celebration of robert gilmore s 70th birthday
title_sub	in celebration of Robert Gilmore's 70th birthday /
topic	Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Chaos. SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Chaotic behavior in systems fast
topic_facet	Chaotic behavior in systems. Chaos. SCIENCE System Theory. TECHNOLOGY & ENGINEERING Operations Research. Chaotic behavior in systems Conference papers and proceedings
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=689740
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