High dimensional bowling. $n$-dimensional ball rolling on $(n – 1)$-dimensional surface

2003, Volume 8, Number 3, pp. 319-329

Author(s): Deryabin M. V., Hjorth P. G.

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.

Citation: Deryabin M. V., Hjorth P. G., High dimensional bowling. $n$-dimensional ball rolling on $(n – 1)$-dimensional surface , Regular and Chaotic Dynamics, 2003, Volume 8, Number 3, pp. 319-329

DOI: 10.1070/RD2003v008n03ABEH000248

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