Mechanical Hamiltonization of unreduced $\phi$-simple Chaplygin systems
Differential Geometry
2024-11-04 v2 Mathematical Physics
math.MP
Abstract
In this paper, we prove that the trajectories of unreduced -simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannian metrics, which are not unique, are obtained explicitly in interesting examples. We also extend these results to -simple Chaplygin mechanical systems (not necessarily kinetic).
Cite
@article{arxiv.2409.18648,
title = {Mechanical Hamiltonization of unreduced $\phi$-simple Chaplygin systems},
author = {Alexandre Anahory Simoes and Juan Carlos Marrero and David Martín de Diego},
journal= {arXiv preprint arXiv:2409.18648},
year = {2024}
}