%0 Journal Article %T 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 %A YIN Jiandong %A ZHOU Zuoling %A
尹建东 %A 周作领 %J 系统科学与数学 %D 2010 %I %X 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. %K Transitive property %K Quasi-weakly almost periodic points %K Takens-Ruelle chaos
传递性 %K 拟弱几乎周期点 %K Takens-Ruelle混沌. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=F80897FBC3EA8ADECA86EC45360261D6&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=5D311CA918CA9A03&sid=59B00AA7F83CF649&eid=38C4598EB9061892&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8