Discrete Nonholonomic LL Systems on Lie Groups
Dynamical Systems
2009-11-10 v1
Abstract
This paper applies the recently developed theory of discrete nonholonomic mechanics to the study of discrete nonholonomic left-invariant dynamics on Lie groups. The theory is illustrated with the discrete versions of two classical nonholonomic systems, the Suslov top and the Chaplygin sleigh. The preservation of the reduced energy by the discrete flow is observed and the discrete momentum conservation is discussed.
Cite
@article{arxiv.math/0409415,
title = {Discrete Nonholonomic LL Systems on Lie Groups},
author = {Yuri N. Fedorov and Dmitry V. Zenkov},
journal= {arXiv preprint arXiv:math/0409415},
year = {2009}
}
Comments
32 pages, 13 figures