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An exploration of dynamical systems ...

Argyris, John H.

An exploration of dynamical systems and chaos

Record Type:	Electronic resources : Monograph/item
Title/Author:	An exploration of dynamical systems and chaosby John H. Argyris ... [et al.].
other author:	Argyris, John H.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xxii, 865 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Chaotic behavior in systems.
Online resource:	http://dx.doi.org/10.1007/978-3-662-46042-9
ISBN:	9783662460429 (electronic bk.)

An exploration of dynamical systems and chaos
An exploration of dynamical systems and chaos[electronic resource] /by John H. Argyris ... [et al.]. - Completely revised and enlarged 2nd ed. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xxii, 865 p. :ill., digital ;24 cm.

Descriptive synopsis of the text -- Mathematical introduction to dynamical systems -- Dynamical systems without dissipation -- Dynamical systems with dissipation -- Local bifurcation theory -- Convective flow: Benard problem -- Routes to chaos -- Turbulence -- Computer experiments.

This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincare section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Wurzburg

ISBN: 9783662460429 (electronic bk.)

Standard No.: 10.1007/978-3-662-46042-9doiSubjects--Topical Terms:

182904
Chaotic behavior in systems.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

An exploration of dynamical systems and chaos
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245 0 3 $a An exploration of dynamical systems and chaos $h [electronic resource] / $c by John H. Argyris ... [et al.].
250 $a Completely revised and enlarged 2nd ed.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a xxii, 865 p. : $b ill., digital ; $c 24 cm.
505 0 $a Descriptive synopsis of the text -- Mathematical introduction to dynamical systems -- Dynamical systems without dissipation -- Dynamical systems with dissipation -- Local bifurcation theory -- Convective flow: Benard problem -- Routes to chaos -- Turbulence -- Computer experiments.
520 $a This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincare section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Wurzburg
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