动力系统小扰动的次极限分布(英文)

The Sublimit Distribution of Small Random Perturbed Dynamic Systems 1)

给出了一个一般框架以研究经小噪声εｄＢｔ扰动的动力系统ｄＸｔ＝ｂ（Ｘｔ）ｄｔ的长期行为。通过吸引子的分层结构粗略地描述了扰动的系统Ｘε在时刻ｔ）（ｅｘｐ（ｃ／ε２）时的分布在ε→０时的极限。

In this article a general framework is given in order to study the large time behavior of a dynamic system d X t=b(X t) d t perturbed by a small noise ε d B t. The limit distribution of the perturbed system X ε at time t )(exp( c/ε 2 ) as ε→0 is roughly described through the hierarchy structure of attractors.