Suslov problem with the Klebsh-Tisserand potential
Mathematical Physics
2020-06-12 v1 math.MP
Abstract
In this paper, we study a nonholonomic mechanical system, namely the Suslov problem with the Klebsh-Tisserand potential. We analyze the topology of the level sets defined by the integrals in two ways: using an explicit construction and as a consequence of the Poincar\'e-Hopf theorem. We describe the flow on such manifolds.
Keywords
Cite
@article{arxiv.1708.08429,
title = {Suslov problem with the Klebsh-Tisserand potential},
author = {Shengda Hu and Manuele Santoprete},
journal= {arXiv preprint arXiv:1708.08429},
year = {2020}
}