几乎周期性与SS混沌集  

ALMOST PERIODICITY AND SS SCRAMBLED SET

作　　者：廖公夫[1] 王立冬[2] 

机构地区：[1]吉林大学数学科学学院,长春130012 [2]吉林师范大学计算机科学系

出　　处：《数学年刊（A辑）》2002年第6期685-692,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.19971035)资助的项目.

摘　　要：引进正则移位不变集的概念,证明了有正则移位不变集的紧致系统在几乎周期点集中存在SS混沌集,特别地,具有正拓扑熵的区间映射在几乎周期点集中存在SS混沌集.Introducing the concept of regular shift invariant set, we prove that a compact system having a regular shift invariant set has an SS scrambled set in the set of almost periodic points, in particular, a continuous self-map of an interval having positive topological entropy has an SS scrambled set in the set of almost periodic points.

关 键 词：紧致系统 几乎周期点 子移位 唯五遍历 SS混沌集 

分 类 号：O19[理学—数学]