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An Exploration of Dynamical Systems and Chaos - Completely Revised and Enlarged Second Edition (Paperback, Softcover reprint of the original 1st ed. 2015)
Loot Price: R3,376
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An Exploration of Dynamical Systems and Chaos - Completely Revised and Enlarged Second Edition (Paperback, Softcover reprint of the original 1st ed. 2015)
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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. 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, Würzburg “This well written book represents a
comprehensive treatise on dynamical systems. It may serve as
reference book for the whole field of nonlinear and chaotic systems
and reports in a unique way on scientific developments of recent
decades as well as important applications.” Joachim Peinke,
Institute of Physics, Carl-von-Ossietzky University Oldenburg,
Germany
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