M. V. Deryabin, P. G. Hjorth, “High dimensional bowling. $n$-dimensional ball rolling on $(n–1)$-dimensional surface”, Regul. Chaotic Dyn., 2003, Volume 8, Issue 3,Pages 319

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

M. V. Deryabin^a, P. G. Hjorth^b

^a Faculty of Mathematics and Mechanics, Moscow State University
^b Department of Mathematics, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark

Abstract: 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.

MSC: 70E99, 70H07

Received: 30.09.2003

Language: English

DOI: 10.1070/RD2003v008n03ABEH000248