期刊文献+

一类非本原代换与混沌 被引量:6

A Class of Non-primitive Substitutions and Chaos
在线阅读 下载PDF
导出
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.
关键词 代换 子移位 LI-YORKE混沌 Schweizer-Smítal对 Substitution, Subshift, Li-Yorke chaos, Schweizer-Smital pair
  • 相关文献

参考文献2

二级参考文献23

  • 1XIONG Jincheng.Chaos in a topologically transitive system[J].Science China Mathematics,2005,48(7):929-939. 被引量:21
  • 2熊金城.A CHAOTIC MAP WITH TOPOLOGICAL ENTROPY[J]Acta Mathematica Scientia,1986(04).
  • 3Xiong Jincheng.Chaos in a topologically transitive system[J]. Science in China Series A: Mathematics . 2005 (7)
  • 4Gongfu Liao,Lanyu Wang.Almost periodicity, chain recurrence and chaos[J]. Israel Journal of Mathematics . 1996 (1)
  • 5Zou Z L.Chaos and topological entropy. Acta Mathematica Sinica . 1998
  • 6Liao G F,Wang L Y.Almost periodicity, chain recurrence and chaos. Israel Journal of Mathematics . 1996
  • 7Blanchard F,Glasner E,Kolyada S, et al.On Li-Yorke pairs. Journal fur die Reine und Angewandte Mathematik . 2002
  • 8Pukula R.Various notion of chaos are not related. . 2001
  • 9Oprocha P.Relations between distributional and Devaney chaos. Chaos . 2006
  • 10Fan Q J,Wang H,Liao G F.Chaotic behaviors on constant length substitution systems with two symbols. Acta Math Sinica Eng Set . 2000

共引文献16

同被引文献29

  • 1LIAO GongFu,FAN QinJie,WANG LiDong.A class of primitive substitutions and scrambled sets[J].Science China Mathematics,2008,51(3):369-375. 被引量:7
  • 2周作领,何伟弘.轨道结构的层次与拓扑半共轭[J].中国科学(A辑),1995,25(5):457-464. 被引量:17
  • 3Li Tianyan, Yorke J. Period three implies Chaos[J]. Amer. Math. Monthly, 1975,82:985-992.
  • 4Cairns G, Davis G, Elton D, et al. Chaotic group actions[J]. L'Ens. Math., 1995,41:123-133.
  • 5Devaney R. An Introduction to Chaotic Dynamaical Systems[M]. New York: Addison-Wesley, 1989.
  • 6Naolekar A, Sankaran P. Chaotic group actions on manifolds[J]. Topology Appl., 2000,107:233-243.
  • 7Blanchard F, Durand F, Maass A. Constant-length substitutions and countable scrambled sets[J]. Nonlin earity., 2004,17:817-833.
  • 8Huang Wen, Ye Xiongdong. Devaney's chaos or 2-scattering implies Li-Yorke's chaos[J]. Topology Appl., 2002,117:259-272.
  • 9David, Ellis B, Ellis R, Kolganova A, et al. The Topological dynamics of semigroup actions[J]. Tran. Amer. Math. Soc., 2000,353(4):1279-1320.
  • 10Anslander J. Minimal Flows and Their Extensions[M]. Amsterdam: North-Holland Math. Stud., 1988.

引证文献6

二级引证文献7

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部