A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
Dynamical Systems
2008-04-24 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.
Keywords
Cite
@article{arxiv.math/0703043,
title = {A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems},
author = {Sergio Benenti},
journal= {arXiv preprint arXiv:math/0703043},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/