Hamiltonization and Integrability of the Chaplygin Sphere in R^n
Mathematical Physics
2010-06-21 v2 Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
The paper studies a natural -dimensional generalization of the classical nonholonomic Chaplygin sphere problem. We prove that for a specific choice of the inertia operator, the restriction of the generalized problem onto zero value of the SO(n-1)-momentum mapping becomes an integrable Hamiltonian system after an appropriate time reparametrization.
Keywords
Cite
@article{arxiv.0902.4397,
title = {Hamiltonization and Integrability of the Chaplygin Sphere in R^n},
author = {Bozidar Jovanovic},
journal= {arXiv preprint arXiv:0902.4397},
year = {2010}
}
Comments
22 pages, Sections 1 and 5 are rewritten, to appear in Journal of Nonlinear Science