Chaos: a program collection for the PC, Volume 1
"Chaos: A Program Collection for the PC" presents an outstanding selection of executable programs with introductory texts to chaos theory & its simulation. Students in physics, mathematics, & engineering will find a thorough introduction to fundamentals & applications in this field. Many numerical experiments & 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.
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Overview and Basic Concepts
Nonlinear Dynamics and Deterministic Chaos
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algorithms amplitude angle appear behavior bifurcation diagram billiard boundary curve Cantor set Chaos chaotic dynamics chaotic motion Chap color computer experiments coordinate space cursor keys detail differential equations discussed disk displayed double pendulum Duffing oscillator dynamical systems elliptic energy Enter equations of motion Etot example Feigenbaum figure is stored fractal dimension frequency function Hamiltonian systems hyperbolic fixed points impact parameter initial conditions integration interval invariant curves iterated map Julia set limit cycle linear logistic map Lorenz Lyapunov exponent magnification main menu Mandelbrot set menu item nonlinear dynamics numerical experiments particle period doubling period-doubling bifurcations period-two periodic orbits perturbation phase space phase space section Phys picture Poincare map Poincare section pressing ratio rotation scattering screen Sect shown in Fig shows solution stability islands stable fixed point stable manifold stochastic strange attractor structure studied torus two-dimensional variable vector velocity wall oscillation window xn+i zero