两个符号的等长代换子系统的混沌性态

范钦杰;王辉;廖公夫

数学学报 ›› 2000, Vol. 43 ›› Issue (4) : 727-732.

PDF(451 KB)
PDF(451 KB)
数学学报 ›› 2000, Vol. 43 ›› Issue (4) : 727-732. DOI: 10.12386/A2000sxxb0094
论文

两个符号的等长代换子系统的混沌性态

    范钦杰;王辉;廖公夫
作者信息 +

Chaos for the Subsystems from Substitutions of Constant Length on Two Symbols

    Qin Jie FAN(1),Hui WANG(2),Gon
Author information +
文章历史 +

摘要

本文研究了由两个符号的等长代换生成的子系统的混沌性态.通过分类研究,我们得到:(1)非奇异代换系统不是Li-Yorke混沌的,作为特例,Morse极小系统不是混沌的;(2)奇异代换子系统都是Li-Yorke混沌的.

Abstract

In this paper, we consider chaos for the subsystems arising from substitutions of constant length on two symbols. We get the following results: (1) the subsystems from nonsingular substitutions of constant length are not Li-Yorke chaos; (2) the sub systems from singular substitutions of constant length axe Li-Yorke chaos.

关键词

Morse极小系统 / 代换子系统 / 代换 / Li-Yorke混沌

引用本文

导出引用
范钦杰;王辉;廖公夫. 两个符号的等长代换子系统的混沌性态. 数学学报, 2000, 43(4): 727-732 https://doi.org/10.12386/A2000sxxb0094
Qin Jie FAN(1),Hui WANG(2),Gon. Chaos for the Subsystems from Substitutions of Constant Length on Two Symbols. Acta Mathematica Sinica, Chinese Series, 2000, 43(4): 727-732 https://doi.org/10.12386/A2000sxxb0094
PDF(451 KB)

Accesses

Citation

Detail

段落导航
相关文章

/