P. Hjorth

Address: Matematiktorvet, Building 303, DK-2800 Kgs, Lyngby, Denmark

E-mail: p.g.hjorth@math.dtu.dk

University: Department of Mathematics, Technical University of Denmark, Lyngby

Publications:

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

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.

Citation: Deryabin M. V., Hjorth P. G., High dimensional bowling. $n$ -dimensional ball rolling on $(n – 1)$ -dimensional surface , Regular and Chaotic Dynamics, 2003, vol. 8, no. 3, pp. 319-329

DOI:10.1070/RD2003v008n03ABEH000248

Back to the list