一类有限型子移位的混沌性态  

Chaotic Behaviors for a Class of Subshifts of Finite Type

作　　者：姜玉秋[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林大学学报（理学版）》2009年第5期945-947,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771084)

摘　　要：对任何k≥2,考虑由k阶0-1矩阵Ak=(aij)决定的有限型子移位,其中,aij=1当且仅当i=k或j=i+1.通过与限制在某不变集上的区间映射建立拓扑共轭关系,证明了该类子移位是分布混沌的.For any k≥2, the subshift of finite type is determined by the k ×k 0-1 mamx Ak = （aij）,where aij= 1 if and only if i=k or j = i ＋ 1. By establishing the topologically conjugate relation between such a subshift and an interval map restricted to some invariant set and using a known result, we prove that the subshift is distributively chaotic.

关 键 词：有限型子移位 区间映射 拓扑共轭 分布混沌 

分 类 号：O199.1[理学—数学]