Stochastic Chaplygin systems

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

References in corpus (1)

• Chaplygin systems associated to Cartan decompositions of semi-simple Lie algebras

Cited by in corpus (2)

• Dynamics of non-holonomic systems with stochastic transport
• Collisionless kinetic theory of rolling molecules