Chaos

1. Front Matter

   Pages I-XV

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2. Overview and Basic Concepts

   Pages 1-10

3. Nonlinear Dynamics and Deterministic Chaos

   Pages 11-46

4. Billiard Systems

   Pages 47-68

5. Gravitational Billiards: The Wedge

   Pages 69-90

6. The Double Pendulum

   Pages 91-113

7. Chaotic Scattering

   Pages 115-136

8. Fermi Acceleration

   Pages 137-156

9. The Duffing Oscillator

   Pages 157-184

10. Feigenbaum Scenario

    Pages 185-210

11. Nonlinear Electronic Circuits

    Pages 211-230

12. Mandelbrot and Julia Sets

    Pages 231-254

13. Ordinary Differential Equations

    Pages 255-300

14. Kicked Systems

    Pages 301-317

15. Back Matter

    Pages 319-341

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Ithasbeenthirteenyearssincetheappearanceofthe?rsteditionofthisbook, and nine years after the second. Meanwhile, chaotic (or nonlinear) dynamics is established as an essential part of courses in physics and it still fascinates students, scientists and even nonacademic people, in particular because of the beauty of computer generated images appearing frequently in this ?eld. Quite generally, computers are an ideal tool for exploring and demonstr- ing the intricate features of chaotic dynamics. The programs in the previous editions of this book have been designed to support such studies even for the non-experienced users of personal computers. However, caused by the rapid development of the computational world, these programs written in Turbo Pascal appeared in an old-fashioned design compared to the up-to-date st- dard.Evenmoreimportant,thoseprogramswouldnotproperlyoperateunder recent versions of the Windows operating system. In addition, there is an - creasing use of Linux operating systems. Therefore, for the present edition, all the programs have been entirely rewritten in C++ and, of course, revised and polished. Two version of the program codes are supplied working under Windows or Linux operating systems. We have again corrected a few passage in the text of the book and added somemorerecentdevelopmentsinthe?eldofchaoticdynamics.Finallyanew program treating the important class of two-dimensional discrete (‘kicked’) systems has been added and described in Chap.13.

• Chaos
• algorithm
• algorithms
• chaos theory
• deterministic chaos
• linear optimization
• nonlinear dynamics

• FB Physik, TU Kaiserslautern, Kaiserslautern, Germany

  Hans Jürgen Korsch, Hans-Jörg Jodl

• Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany

  Timo Hartmann

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