由一类紧致系统诱导的集值M-系统

The Set-valued M-system Induced by a Class Compact System

主要研究由M-系统所诱导的集值动力系统。设(X,d)是紧致度量空间,(K(X),H)是X中所有非空紧子集所组成的空间,并赋予由d导出的Hausdorff度量。f和-f分别是它们上的连续自映射。证明了如果f是几乎周期稠密的,那么f-同样也是;由完全极大敏感M-系统所诱导的集值系统也是M-系统。

The set-valued dynamical system induced by M-system has been investigated.Let（X,d） be a compact metric space and（K（X）,H）be a-induced Hausdorff metric space of all non-empty compact subsets of X.The functions f and are the continuous maps on them respectively.We have proved that if f is almost periodically dense,then is also almost periodically dense.Besides,we also have proved that the set-valued systems induced by totally maximum sensitive M-system are M-system.