Matematiktorvet, Building 303, DK-2800 Kgs, Lyngby, Denmark
Department of Mathematics, Technical University of Denmark, Lyngby
Deryabin M. V., Hjorth P. G.
High dimensional bowling. $n$-dimensional ball rolling on $(n – 1)$-dimensional surface
2003, vol. 8, no. 3, pp. 319-329
We consider the non-holonomic system of a $n$-dimensional ball rolling on a $(n – 1)$-dimensional surface. We discuss the structure of the equations of motion, the existence of an invariant measure and some generalizations of the problem.