@article{Aston2007TheDO,
title={The dynamics of a bouncing superball with spin},
author={P. Aston and R. Shail},
journal={Dynamical Systems},
year={2007},
volume={22},
pages={291 - 322}
}

When a superball is thrown forwards but with backspin, it is observed to reverse both direction and spin for a few bounces before settling to bouncing motion in one direction. The bouncing ball is modelled by a two-dimensional iterated map in terms of the horizontal velocity and spin immediately after each bounce. The asymptotic motion of this system is easily determined. However, of more interest is the transient behaviour. The two-dimensional linear map is reduced to a one-dimensional non… CONTINUE READING