半群作用的Devaney混沌  

Devaney Chaos of Semigroup Action

作　　者：关鹏[1] 张荣[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《江西师范大学学报（自然科学版）》2008年第1期32-35,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：重庆市教委科学研究项目(05JWSK054)

摘　　要：引进了半群的拓扑强混合性和Devaney混沌,证明了在半群S连续作用的紧致度量空间X中,半群S的拓扑强混合性蕴含半群S作用是Devaney混沌的,同时给出了半群S作用的拓扑可迁的几个等价命题.The paper introduces the concept of topologically strong mixing and devaney chaos in the sense of semigroup action. It is showed that topologically strong mixing implies devaney chaos when semigroup eontinuously acts on the inverse limit space. In addition, it gives several equivalent propositions of topologically transitive in the sense of semigroup action.

关 键 词：半群作用 混沌 拓扑可迁 拓扑强混合 

分 类 号：O198[理学—数学]