随机Chaubergin系统
Stochastic Chaplygin systems
摘要：
我们模仿Lazaro-Cami和Ortega [17，18]的随机哈密顿约化，用于某些具有对称性的非完整系统的情况。利用非完整联系证明了随机扰动$n$维Chaubergin球的漂移是确定性系统的保持测度密度的某个梯度.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
