AN EXPLORATION OF DYNAMICAL SYSTEMS AND CHAOS torrent

Author: John H. Argyris, Gunter Faust, Maria Haase, Rudolf Friedrich
Edition: 2015 edition
Publication Date: April 25, 2015
Publisher: Springer
ISBN-10: 3662460416
ISBN-13: 978-3662460412
Pages: 865 pages
Format: pdf
Size: 55M

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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 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.

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