Bouncing ball dynamics

A bouncing ball on a sinusoidally vibrating table is an example of a chaotic system.^[1] In such a system, the motion of the ball is altered by a series of deflections as well as the other forces, such as gravity.

The study of the dynamics of a bouncing ball on a sinusoidally vibrating table is a useful teaching example about the behavior of chaotic systems. In addition to its pedagogical value, the system is also of practical interest in several engineering applications, as well as in basic research.

Notes

1. Nicholas B. Tufillaro, Tyler Abbott, and Jerermiah Reilly (1992). An Experimental Approach to Nonlinear Dynamics and Chaos. Addison–Wesley. ISBN 0-201-55441-0.

References

• T. M. Mello and N. B. Tufillaro, "Strange attractors of a bouncing ball," American Journal of Physics 55 (4), 316 (1987).
• N. B. Tufillaro, "Braid analysis of a bouncing ball," Physical Review E 50 (6), 4509–4522 (1994).
• 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).
• K. Wiesenfeld and N. B. Tufillaro, "Suppression of period doubling in the dynamics of a bouncing ball," Physica 26D, 321 (1987).
• S. K. Joseph, I. P. Mariño and Miguel A.F. Sanjuán, "Effect of the phase on the dynamics of a perturbed bouncing ball system ", Commun. Nonlinear. Sci. and Numer. Simul",17 (8) 3279 - 3286 (2012).

External links

• J. Thomas Bouncing Ball Page at the Wayback Machine (archived June 24, 2007)