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.
出处
《数学年刊（A辑）》
CSCD
北大核心
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.
关键词
紧致系统
几乎周期点
子移位
唯五遍历
SS混沌集
Compact system, Almost periodic point, Subshift, Unique ergodicity, SS scrambled set
