Bouncing Ball Simulation System
From Wikipedia, the free encyclopedia
The Bouncing Ball Simulation System is a program for the Mac OS that provides a physically accurate rendering of the motions of a ball impacting with a sinusoidally vibrating table. The program adheres to all the Macintosh interface guidelines, thus making simulations easy to run and examine. The program accompanies the text book An Experimental Approach to Nonlinear Dynamics and Chaos by Nicholas B. Tufillaro, Tyler Abbott, and Jerermiah Reilly (Addison-Wesley, 1992), and it is a tool which allows one to learn about the behavior of chaotic systems. Chapter one of the book provides an introduction to the basic periodic and chaotic dynamics of the bouncing ball system. The book also comes with an extensive User's Manual. In addition to its pedagogical value, the system is also of practical interest in several engineering applications, as well as in basic research.
[edit] References:
N. B. Tufillaro and T. Abbott, Follow the bouncing ball --- an introduction to chaos (draft, unpublished)
N. B. Tufillaro, Braid analysis of a bouncing ball, Physical Review E 50 (6), 4509-4522 (1994).
N. B. Tufillaro, Comment on "Bouncing ball with finite restitution: Cluttering, locking and chaos, (preprint)
K. Wiesenfeld and N. B. Tufillaro, Suppression of period doubling in the dynamics of a bouncing ball, Physica 26D, 321 (1987).
T. M. Mello and N. B. Tufillaro, Strange attractors of a bouncing ball, American Journal of Physics 55 (4), 316 (1987).
N. B. Tufillaro, T. M. Mello, Y. M. Choi, and A. M. Albano, Period doubling boundaries of a bouncing ball, Journal de Physique 47, 1477 (1986).
N. B. Tufillaro and A. M. Albano, Chaotic dynamics of a bouncing ball, American Journal of Physics 54 (10), 939 (1986).
