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

M.V. Deryabin; Poul G. Hjorth

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

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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.

Original language	English
Journal	Regular & chaotic dynamics
Volume	8
Issue number	3
Pages (from-to)	319-329
ISSN	1560-3547
Publication status	Published - 2003

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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.",

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

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