Stochastic Chaplygin systems
Mathematical Physics
2015-05-18 v1 math.MP
Abstract
We mimic the stochastic Hamiltonian reduction of Lazaro-Cami and Ortega [17, 18] for the case of certain non-holonomic systems with symmetries. Using the non-holonomic connection it is shown that the drift of the stochastically perturbed -dimensional Chaplygin ball is a certain gradient of the density of the preserved measure of the deterministic system.
Cite
@article{arxiv.1002.2088,
title = {Stochastic Chaplygin systems},
author = {Simon Hochgerner},
journal= {arXiv preprint arXiv:1002.2088},
year = {2015}
}