Hamiltonization of solids of revolution through reduction
Mathematical Physics
2017-06-28 v2 Differential Geometry
math.MP
Abstract
In this paper we study the relation between conserved quantities of nonholonomic systems and the hamiltonization problem employing the geometric methods of [1,3]. We illustrate the theory with classical examples describing the dynamics of solids of revolution rolling without sliding on a plane. In these cases, using the existence of two conserved quantities we obtain, by means of 'gauge transformations' and symmetry reduction, genuine Poisson brackets describing the reduced dynamics.
Keywords
Cite
@article{arxiv.1610.06103,
title = {Hamiltonization of solids of revolution through reduction},
author = {Paula Balseiro},
journal= {arXiv preprint arXiv:1610.06103},
year = {2017}
}
Comments
33 pages. Version 2: Typos fixed and minor corrections