【摘要】 1992年,周作领引进了弱几乎周期点这一概念.1995年,周和何伟弘又引进了拟弱几乎周期点这个概念,并利用它们深刻地刻画了一个动力系统的本质所在.为了更好地看出这两者的区别,首先从回复时间集的角度给出拟弱几乎周期点的等价定义,然后研究了一个存在真的拟弱几乎周期点的系统的混沌情况,得到了这样的系统是Takens-Ruelle混沌的.更多还原

【Abstract】 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.更多还原