Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics
Mathematical Physics
2007-05-23 v2 Dynamical Systems
math.MP
Abstract
We show that the Suslov nonholonomic rigid body problem can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidimensional nonholonomic system which can be reduced to a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal with Chaplygin systems in the local sense, the invariant manifolds of the integrable examples are not necessary tori.
Cite
@article{arxiv.math-ph/0510088,
title = {Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics},
author = {Yuri N. Fedorov and Bozidar Jovanovic},
journal= {arXiv preprint arXiv:math-ph/0510088},
year = {2007}
}
Comments
minor changes, to appear in Letters in Mathematical Physics