THE EQUIVALENT DEFINITIONS OF QUASI-WEAKLY ALMOST PERIODIC POINTS AND CHAOS
拟弱几乎周期点的等价定义与系统的混沌性

In 1992, Zhou Zuoling introduced the notion of weakly almost periodic points. In 1995, Zhou and He Weihong introduced the notion of quasi- weakly almost periodic points to reveal the essence of a dynamical system. In order to distinguish them more clearly, the equivalent definitions of them are given in the paper. At the end of this paper, the chaotic property of a transitive dynamical system is studied, in which there is a transitive quasi weakly almost periodic point but there is no weakly almost periodic one, and such system is Takens-Ruelle chaos system.