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An Exploration of Dynamical Systems and Chaos

Completely Revised and Enlarged Second Edition

  • John H. Argyris
  • Gunter Faust
  • Maria Haase
  • Rudolf Friedrich

Table of contents

  1. Front Matter
    Pages 1-19
  2. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 1-12
  3. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 13-34
  4. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 35-138
  5. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 139-188
  6. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 189-298
  7. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 299-434
  8. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 435-472
  9. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 473-592
  10. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 593-676
  11. John Argyris (Deceased), Gunter Faust, Maria Haase, Rudolf Friedrich (Deceased)
    Pages 677-822
  12. Back Matter
    Pages 823-864

About this book

Introduction

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

Keywords

Chaos Conservative und Dissipative Systems Dynamical Systems Fractal Dimensions Kolmogorov-Sinai Entropy Local Bifurcations Lorenz-Model Lyapunov-Exponents Nonlinear Dynamics Routes to Chaos Strange Attractors Turbulence

Authors and affiliations

  • John H. Argyris
    • 1
  • Gunter Faust
    • 2
  • Maria Haase
    • 3
  • Rudolf Friedrich
    • 4
  1. 1.University of Stuttgart ICAStuttgartGermany
  2. 2.Inst. Statik und Dynamik der Luft-und RaumfahrtkonstruktionenUniversität StuttgartStuttgartGermany
  3. 3.Universität Stuttgart, Institut für HöchstleistungsrechnenStuttgartGermany
  4. 4.Westfälische Wilhelms-Universität Münste Institut für Theoretische PhysikMünsterGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-46042-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-662-46041-2
  • Online ISBN 978-3-662-46042-9
  • Buy this book on publisher's site
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