Bouncing Ball Simulation System
- Bouncing Ball Simulation System
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, then making simulations easy to run and examine. The program accompanies a text book, [cite book | title = An Experimental Approach to Nonlinear Dynamics and Chaos | author = Nicholas B. Tufillaro, Tyler Abbott, and Jerermiah Reilly | publisher = Addison-Wesley | year = 1992 | isbn = 0201554410 ] 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.
Publications on chaotic dynamics of the bouncing ball
*N. B. Tufillaro, "Braid analysis of a bouncing ball," "Physical Review" E 50 (6), 4509-4522 (1994).
*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).
References
ee also
* [http://www.drchaos.net/drchaos/bb.html drchaos info on bouncing ball] (drchaos)
* [http://www.drchaos.net/drchaos/Book/node11.html#SECTION00200000000000000000 drchaos bouncing ball theory]
* [http://www.drchaos.net/drchaos/Papers/bouncing_ball_lab.pdf drchaos bouncing ball experiment lab manual]
* [http://chaos.phy.ohiou.edu/~thomas/chaos/bouncing_ball.html J. Thomas Bouncing Ball Page]
* [http://www.complexity.org.au/ci/vol02/han/han.html Application to Vibratory Ball Milling]
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