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Chaos

A Program Collection for the PC

  • Book
  • © 1999

Overview

Authors:
  1. H. J. Korsch

    1. Fachbereich Physik, Universität Kaiserslautern, Kaiserslautern, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. H.-J. Jodl

    1. Fachbereich Physik, Universität Kaiserslautern, Kaiserslautern, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Unique collection of programs on chaos theory and its simulation, all now rewritten in C++ (and two versions - Windows and Linux)
  • Can be used as primer
  • Ideal for case studies on chaos theory
  • New chapter on kicked systems

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. Overview and Basic Concepts

    • H. J. Korsch, H.-J. Jodl
    Pages 1-10

  3. Nonlinear Dynamics and Deterministic Chaos

    • H. J. Korsch, H.-J. Jodl
    Pages 11-44

  4. Billiard Systems

    • H. J. Korsch, H.-J. Jodl
    Pages 45-66

  5. Gravitational Billiards: The Wedge

    • H. J. Korsch, H.-J. Jodl
    Pages 67-88

  6. The Double Pendulum

    • H. J. Korsch, H.-J. Jodl
    Pages 89-114

  7. Chaotic Scattering

    • H. J. Korsch, H.-J. Jodl
    Pages 115-136

  8. Fermi Acceleration

    • H. J. Korsch, H.-J. Jodl
    Pages 137-156

  9. The Duffing Oscillator

    • H. J. Korsch, H.-J. Jodl
    Pages 157-180

  10. Feigenbaum Scenario

    • H. J. Korsch, H.-J. Jodl
    Pages 181-206

  11. Nonlinear Electronic Circuits

    • H. J. Korsch, H.-J. Jodl
    Pages 207-226

  12. Mandelbrot and Julia Sets

    • H. J. Korsch, H.-J. Jodl
    Pages 227-248

  13. Ordinary Differential Equations

    • H. J. Korsch, H.-J. Jodl
    Pages 249-290

  14. System Requirements and Program Installation

    • H. J. Korsch, H.-J. Jodl
    Pages 291-294

  15. General Remarks on Using the Programs

    • H. J. Korsch, H.-J. Jodl
    Pages 295-298

  16. Back Matter

    Pages 299-312
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Keywords

About this book

Chaos: A Program Collection for the PC presents an outstanding selection of executable programs with introductory texts to chaos theory and its simulation. Students in physics, mathematics, and engineering will find a thorough introduction to fundamentals and applications in this field. Many numerical experiments and suggestions for further studies help the reader to become familiar with this fascinating topic. The second edition includes one CD-ROM, the executable programs are Windows 95 compatible.

Reviews

"... The program devoted to the Julia and Mandelbrot sets is particularly exciting. Seeing the beautiful sets appearing on the screen, manipulating parameters oneself and observing the effects is infinitely more enlightening than viewing a picture in a book. ... Each chapter also provides a guide to ideas which the graduate student might wish to explore in that particular field." J E Scully, The Physicist 2000/37/6

From the reviews of the third edition:

"Readers … can use this revised edition (2nd ed., 1998) to develop the skills necessary to apply chaos theory to emerging areas of study. … the work’s strength lies in its blending of theory, experiment, and computer simulation. This reviewer feels that this is clearly the way to learn chaos. … Even with the accompanying CD-ROM, the text is well illustrated and gives good explanations on using the programs (written in C++ in both Windows and Linux versions). Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (E. Kincanon, CHOICE, Vol. 45 (11), July, 2008)

Authors and Affiliations

  • Fachbereich Physik, Universität Kaiserslautern, Kaiserslautern, Germany

    H. J. Korsch, H.-J. Jodl

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