Lagrange-d'Alembert-Poincar\`e equations by several stages
Differential Geometry
2014-06-30 v1
Abstract
The aim of this paper is to write explicit expression in terms of a given principal connection of the Lagrange-d'Alembert-Poincar\`{e} equations in several stages. This is obtained by using a reduced Lagrange-d'Alembert's Principle in several stages, extending methods introduced for the case of two stages by one of the authors and collaborators. The case of the Euler's disk is described as an illustrative example.
Cite
@article{arxiv.1406.7271,
title = {Lagrange-d'Alembert-Poincar\`e equations by several stages},
author = {Hernán Cendra and Viviana Alejandra Díaz},
journal= {arXiv preprint arXiv:1406.7271},
year = {2014}
}