拓扑(双重)遍历的等价条件

Equivalent Conditions for Topological(Double) Ergodicity

本文给出了动力系统f是拓扑遍历、拓扑双重遍历的等价条件,讨论了拓扑(双重)遍历与拓扑可迁、拓扑混合的关系,研究了拓扑遍历系统的混沌性态.

The paper gives the equivalent conditions when a dynamical system is topological （double） ergodicity, and discusses the relationship between topological ergodicity and topological mixing as well as topological transitivity. At last this paper studies the chaos state of topologically ergodical system.