复合变参数离散动力系统

Composite Variable-parametric Discrete Dynamical System

研究了变参数复合动力系统(X,F G)的动力性状与变参数动力系统(X,F)和(X,G)的动力性状之间的关系,得出以下结论:若F是拓扑传递、拓扑混合和拓扑强传递的,在G满足一定条件的前提下,F G分别是拓扑传递、拓扑混合和拓扑强传递的.通过对F的动力性状和G的动力性状的研究,可以刻画出F G的某些动力性状.

This paper investigates the basic dynamical properties among the composite of variable-parametric discrete dynamical system （X, F°G）, the ordinary Variable-parametric discrete dynamical system （X, F） and （X, G）. It is proved that if F is transitivity, mixing, and strong transitivity, and G satisfies certain condition, so is F°G. As a result, it is concluded that the dynamical properties of F°G can be inherit from the properties of F and G.