Autonomous Stochastic Perturbations of Dynamical Systems

被引：0

作者：

Mark Freidlin

机构：

来源：

Acta Applicandae Mathematica | 2003年 / 78卷

关键词：

averaging principle; perturbations of Hamiltonian systems; random perturbations;

D O I：

暂无

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学科分类号：

摘要：

Long-time effects of autonomous stochastic perturbations of Hamiltonian systems are considered. In particular, these perturbations allow us to obtain the averaging principle for deterministic perturbations in the case of Hamiltonians with many critical points. The limiting slow motion in this case is a stochastic process even when the system and perturbations are purely deterministic.

引用

页码：121 / 128

页数：7