定义和研究了紧致度量空间上群作用的强Kato混沌。设X是一个没有孤立点的紧致度量空间,G是作用在X上的一个拓扑交换群。若动力系统(X,G)是弱混合的,则它是强Kato混沌的。
In this paper,we define and study strong Kato chaos for a group action on a compact metric space. Let X be a compact metric space without isolated points,and let G be a topologically commutative group on X. If dynamical system( X,G) is weakly mixing,then it is chaotic in the strong sense of Kato.