| 廖公夫,汪威,范钦杰.一类非本原代换与混沌[J].数学年刊A辑,2009,30(2):183~188 |
| 一类非本原代换与混沌 |
| A Class of Non-primitive Substitutions and Chaos |
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| DOI： |
| 中文关键词: 代换 子移位 Li-Yorke混沌 Schweizer-Smital对 |
| 英文关键词:Substitution, Subshift, Li-Yorke chaos, Schweizer-Sm′?tal pair |
| 基金项目:国家自然科学基金 |
| Author Name | Affiliation | E-mail | | LIAO Gongfu | School of Mathematics, Jilin Normal University, Siping 136000, Jilin, China
School of Mathematics, Jilin University, Changchun 130012, China. | liaogf@email.jlu.edu.cn | | WANG Wei | School of Mathematics, Jilin University, Changchun 130012, China
Depart-
ment of Mathematics, Jilin Agricultural University, Changchun 130118, China. | | | FAN Qinjie | School of Mathematics, Jilin Normal University, Siping 136000, Jilin, China. | fanqinjie@sina.com.cn |
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| 中文摘要: |
| 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-Smital对. |
| 英文摘要: |
| This paper considers the subshifts induced by those non-primitive constant-
length 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-Sm′?tal pairs. |
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