On the Lie integrability theorem for the Chaplygin ball
Exactly Solvable and Integrable Systems
2018-03-14 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
The necessary number of commuting vector fields for the Chaplygin ball in the absolute space is constructed. We propose to get these vector fields in framework of the Poisson geometry similar to the Hamiltonian mechanics.
Keywords
Cite
@article{arxiv.1312.1055,
title = {On the Lie integrability theorem for the Chaplygin ball},
author = {A V Tsiganov},
journal= {arXiv preprint arXiv:1312.1055},
year = {2018}
}
Comments
12 pages, LaTeX with AMS fonts, in the second version we added discussion of the compatible rank-two Poisson structures