Chaos

This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems. It does so through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying disk.

This new edition, complete with all the necessary material on a free computer disk, strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems. It does so through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying disk. 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). Each chapter utilizes an easy-to-follow structure, from theoretical background and numerical techniques, through interaction with the program and computer experiments, to real experiments and empirical evidence. It's topped off with a section of references.

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 Includes supplementary material: sn.pub/extras

Inhalt
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.