摘要
考虑由两个符号的非本原等长代换诱导的子移位.借助黄文、叶向东得到的一个结果,给出此子移位为Li-Yorke混沌的一个等价刻画.进而通过对点的渐近性态的探索,证明了任何这样的子移位都没有Schweizer-Smítal对.
This paper considers the subshifts induced by those non-primitive constantlength substitutions on two symbols. With the help of a result obtained by Huang and Ye, the authors give an equivalent version for such a subshift to be Li-Yorke chaotic. Furthermore, by investigating the asymptotic behaviors of the points it is proved that each of the subshifts has no Schweizer-Smital pairs.
出处
《数学年刊(A辑)》
CSCD
北大核心
2009年第2期183-188,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10771084)资助的项目.