一类极小系统的动力性状  

Dynamical Propertise for a Class of Minimal Dynamical Systems

作　　者：颜棋 尹建东[1] 

机构地区：[1]南昌大学理学院,江西南昌330031

出　　处：《华侨大学学报（自然科学版）》2015年第2期237-240,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(11261039);江西省自然科学基金资助项目(20132BAB201009)

摘　　要：引进了真弱几乎周期点极小系统这一新概念,即一个含有真的弱几乎周期点而不存在真子系统具有此性质的系统,并证明了该系统是拓扑传递,具有满测度中心.结果表明:该系统是Takens-Ruelle混沌的,强遍历和完全遍历敏感的.A new concept of proper weakly almost periodic point minimal system is introduced,that is,a system contains proper weakly almost periodic points containing no proper subsystem with these properties.We prove that such a system is topologically transitive and has a full measure center.It can be proved further that such a system is Taken-Ruelle chaos,strongly ergodic and totally ergodicly sensitive.

关 键 词：弱几乎周期点 极小系统 强遍历 遍历敏感 

分 类 号：O189.1[理学—数学]