An averaging principle for integrable stochastic Hamiltonian systems

Consider a stochastic differential equation whose diffusion vector fields are formed from an integrable family of Hamiltonian functions Hi, i = 1, . . . n. We investigate the effect of a small transversal perturbation of order to such a system. An averaging principle is shown to hold for this system...

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Bibliographic Details
Main Author: Xue-Mei Li
Format: Default Preprint
Published: 2006
Subjects:
Online Access:https://hdl.handle.net/2134/2439
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