一致收敛下极限系统回复性的研究

Recurrence of the Limit System under Uniform Convergence

主要讨论一致收敛下极限系统的回复性集合与序列系统中相应集合之间的关系.首先得出了一致收敛下极限系统的不动点集、链回归点集和序列系统中相应集合的关系;接着给出强一致收敛下极限系统的正则回归点集、(拟)弱几乎周期点集以及非游荡点集与序列系统中相应集合之间的关系.

This paper discusses the relationships of the recurrent set between the dynamical systems sequence and the limit system under uniform convergence.In the first place,it obtains the relationships of the fixed points set and the chain recurrent points set between the dynamical systems sequence and the limit system under uniform convergence;second,the relationships of the regularly recurrent points set（quasi）weakly almost periodic points set and non-wandering points set between the dynamical systems sequence and the limit system under the definition are given.