Reduction of invariant constrained systems using anholonomic frames
Differential Geometry
2011-05-02 v1 Mathematical Physics
math.MP
Abstract
We analyze two reduction methods for nonholonomic systems that are invariant under the action of a Lie group on the configuration space. Our approach for obtaining the reduced equations is entirely based on the observation that the dynamics can be represented by a second-order differential equations vector field and that in both cases the reduced dynamics can be described by expressing that vector field in terms of an appropriately chosen anholonomic frame.
Cite
@article{arxiv.1101.2551,
title = {Reduction of invariant constrained systems using anholonomic frames},
author = {M. Crampin and T. Mestdag},
journal= {arXiv preprint arXiv:1101.2551},
year = {2011}
}
Comments
19 pages