几乎周期点稠密系统的拓扑遍历性

Topological Ergodicity of Almost Periodic Points Dense

在极小映射的基础上构造了几乎周期点稠密系统,并运用拓扑传递性与稠密性研究了几乎周期点稠密系统与Li-Yorke混沌的关系,证明了几乎周期点稠密系统在一定条件下是拓扑遍历的.这样,建立起了几乎周期点稠密系统与拓扑遍历性的联系,对进一步了解几乎周期点稠密系统测度中心的性质有一定的启示作用.

The authors constructed the almost periodic point dense system based on minimal mapping,studied the relation between the almost periodic point dense system and Li-Yorke chaos by using topological transitivity and density,and proved the topological ergodicity of the almost periodic points dense system under certain conditions.The study established the relation between the almost periodic point dense system and topological ergodicity,and had some enlightenments on the further studying of the characteristics of the measure centre of the almost periodic points dense system.