An Exploration Of Dynamical Systems And Chaos Completely Revised And Enlarged Second Edition 2015th Edition John Argyris by John Argyris, Gunter Faust, Maria Haase, Rudolf Friedrich 9783662460412, 3662460416 instant download after payment.

Unrivaled textbook about all facets of chaos theory and dynamical systems
Exceeds by far a usual textbook including a variety of examples, solutions, pictures and simulations
Comprehensive and detailed textbook leading the student into the middle of chaos theory and dynamical systems research
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
Related Subjects: Complexity, Nonlinear Dynamics, Complex Systems