一类非本原代换诱导的超空间系统

吉林大学学报(理学版)

一类非本原代换诱导的超空间系统

汪威¹, 李健¹, 朱晓刚², 廖梦兰³, 李俊杰^1

1. 吉林农业大学信息技术学院, 长春 130118； 2. 长春工程技术学院, 长春 130117；3. 吉林大学数学研究所, 长春 130012

收稿日期:2014-07-02 出版日期:2014-11-26 发布日期:2014-12-11
通讯作者: 汪威 E-mail:maggie0403@126.com

Hyperspace System Induced by a Class of Non-primitive Substitution

WANG Wei¹, LI Jian¹, ZHU Xiaogang², LIAO Menglan³, LI Junjie¹

1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;2. Institute of Changchun Engineering Technology, Changchun 130117, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2014-07-02 Online:2014-11-26 Published:2014-12-11
Contact: WANG Wei E-mail:maggie0403@126.com

摘要/Abstract

摘要：

考虑具有两个符号等长的非本原代换诱导的超空间系统的Li-Yorke混沌性, 利用该代换系统存在LiYorke混沌集的条件, 进一步得出了其诱导的超空间系统存在Li-Yorke混沌集和不存在Li-Yorke混沌集的条件.

关键词: 非本原代换, 超空间系统, Li-Yorke混沌

Abstract:

We discussed Li-Yorke chaotic properties for hyperspace systems induced by nonprimitive substitutions on two symbols. With the help of the conditions of containing Li-Yorke chaotic sets in the substitution system, we obtained the conditions for the hyperspace systems to contain Li-Yorke chaotic sets and not to contain Li-Yorke chaotic sets.

Key words: non-primitive substitution, hyperspace system, Li-Yorke chaos

中图分类号:

O189

汪威, 李健, 朱晓刚, 廖梦兰, 李俊杰. 一类非本原代换诱导的超空间系统[J]. 吉林大学学报(理学版), 2014, 52(06): 1219-1221.

WANG Wei, LI Jian, ZHU Xiaogang, LIAO Menglan, LI Junjie. Hyperspace System Induced by a Class of Non-primitive Substitution[J]. Journal of Jilin University Science Edition, 2014, 52(06): 1219-1221.