Stochastic Chaplygin systems

Details Stochastic Chaplygin systems Stochastic Chaplygin systems

2010-02-10

arxiv.org/abs/1002.2088v1

Physics

Mathematical Physics

Scientific paper

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 $n$-dimensional Chaplygin ball is a certain gradient
of the density of the preserved measure of the deterministic system.

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