论文标题
对于快速系统的多个不变措施的平均
Averaging in the case of multiple invariant measures for the fast system
论文作者
论文摘要
我们考虑具有快速随机分量的确定性或随机系统的平均原理（连续时间马尔可夫链的家族取决于系统的状态作为参数）。我们表明，由于链的不变概率测量方法中的分叉，应在图形或开放书籍上考虑限制系统，在图形顶点（或分叉表面上）具有某些粘合条件。
We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the system as a parameter). We show that, due to bifurcations in the simplex of invariant probability measures of the chains, the limiting system should be considered on a graph or on an open book with certain gluing conditions in the vertices of the graph (or on the bifurcation surface).
