Chaos : A Program Collection for the PC. 3rd ed. 2008

種類:

電子ブック

責任表示:

by Hans Jürgen Korsch, Hans-Jörg Jodl, Timo Hartmann

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008

著者名:

• Korsch, Hans Jürgen.
• Jodl, Hans-Jörg.
• Hartmann, Timo.
• SpringerLink (Online service)

ISBN:

9783540748670 [3540748679]    

注記:

Overview and Basic Concepts -- Nonlinear Dynamics and Deterministic Chaos -- Billiard Systems -- Gravitational Billiards: The Wedge -- The Double Pendulum -- Chaotic Scattering -- Fermi Acceleration -- The Duffing Oscillator -- Feigenbaum Scenario -- Nonlinear Electronic Circuits -- Mandelbrot and Julia Sets -- Ordinary Differential Equations -- Kicked Systems.
This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmic details. For the third edition of Chaos: A Program Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, an important class of two-dimensional problems, which is introduced in Chapter 13. Each chapter follows the structure: theoretical background; numerical techniques; interaction with the program; computer experiments; real experiments and empirical evidence; reference. Interacting with the many numerical experiments have proven to h

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