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Exploration of dynamical systems and chaos / John Argyris...[et al.].

By: Contributor(s): Material type: TextTextPublication details: New York : Springer, 2015.Edition: 2nd edDescription: xxii, 865 p. : illustrations (some color), map ; 25 cmISBN:
  • 9783662460412
Subject(s): DDC classification:
  • 003.857 23 Ar695
Contents:
1. Descriptive synopsis of the text -- 2. Preliminaries -- 3. Mathematical introduction ot dynamical systems -- 4. Dynamical systems without dissipation -- 5. Dynamical systems with dissipation -- 6. Local bifurcation theory -- 7. Convective flow : Bénard problem -- 8. Routes to chaos -- 9. Turbulence -- 10. Computer experiements.
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. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics extensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. 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. 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 probaility 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-temperal structures.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 003.857 Ar695 (Browse shelf(Opens below)) Available 137069
Total holds: 0

Completely revised and enlarged second edition.

Includes bibliographical references and index.

1. Descriptive synopsis of the text --
2. Preliminaries --
3. Mathematical introduction ot dynamical systems --
4. Dynamical systems without dissipation --
5. Dynamical systems with dissipation --
6. Local bifurcation theory --
7. Convective flow : Bénard problem --
8. Routes to chaos --
9. Turbulence --
10. Computer experiements.

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 extensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. 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. 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 probaility 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-temperal structures.

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