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.
YIN Jiandong
, ZHOU Zuoling. , {{custom_author.name_en}}.
The Equivalent Definitions of Quasi-Weakly Almost Periodic Points and Chaos. Journal of Systems Science and Mathematical Sciences, 2010, 30(8): 1156-1162 https://doi.org/10.12341/jssms09253
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