Gianni Arioli, Hans Koch
Some reversing orbits for a rattleback model
(1183K, pdf)

ABSTRACT.  A physical rattleback is a toy that can exhibit 
counter-intuitive behavior when spun on a horizontal plate. 
Most notably, it can spontaneously reverse its direction of rotation. 
Using a standard mathematical model of the rattleback, 
we prove the existence of reversing motion, 
reversing motion combined with rolling, 
and orbits that exhibit such behavior repeatedly.