Showing math.DSShow all
2 papers · 1 filter
math.DS2018
Rolling and no-slip bouncing in cylinders
Timothy Chumley, Scott Cook, Christopher Cox +1
The purpose of this paper is to compare a classical non-holonomic system---a sphere rolling against the inner surface of a vertical cylinder under gravity---and a class of discrete…
math.DS2017
Ergodicity in umbrella billiards
Maria Correia, Christopher Cox, Hong-Kun Zhang
We investigate a three-parameter family of billiard tables with circular arc boundaries. These umbrella-shaped billiards may be viewed as a generalization of two-parameter moon and…