| Description |
1 online resource (xxii, 865 pages) : illustrations (some color) |
| Contents |
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 |
| Summary |
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 |
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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 |
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Basic concepts like Poincaré 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 |
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To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections |
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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 |
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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 |
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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 |
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"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, Würzburg |
| Analysis |
systemen |
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systems |
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computerwetenschappen |
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computer sciences |
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engineering |
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wiskunde |
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mathematics |
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Engineering (General) |
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Techniek (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed April 30, 2015) |
| Subject |
Chaotic behavior in systems.
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Chaotic behavior in systems
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| Form |
Electronic book
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| Author |
Argyris, J. H. (John H.), 1916- author.
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Faust, Gunter, author
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Haase, Maria, author
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Friedrich, Rudolf, 1956-2012, author
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| ISBN |
9783662460429 |
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3662460424 |
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