吉林大学学报（理学版）2011，Vol.49Issue(2)：240-242,3.
一类非本原代换系统的混沌性态
Chaotic Behaviors for a Class of Non-primitive Substitution Systems
摘要
Abstract
This paper deals with the system induced by the non-primitive and non-constant-length substitution ξ over the alphabet {0,1} , where ξ(0) = Oa1…ap-1, ξ( 1 ) = 1,…, 1. It has been proved that this system is Li-Yorke chaotic if and only if there exists i ＞ 0 such that ai = O. In addition, investigating the occurrent frequency of the symbols shows a sufficient condition for the system not to be distributively chaotic.关键词
代换系统/Li-Yorke混沌/分布混沌Key words
substitution system/ Li-Yorke chaos/ distributional chaos分类
数理科学引用本文复制引用
王宏仁,廖丽,范钦杰..一类非本原代换系统的混沌性态[J].吉林大学学报（理学版）,2011,49(2):240-242,3.基金项目
国家自然科学基金(批准号:10971084 （）
10771084)、吉林省教育厅"十一五"科学技术研究项目(批准号:[2009]199)和中国工程物理研究院科学技术发展基金(批准号:2009B0403047). （批准号:[2009]199）
