线段上连续非混沌自映射某类点的性质  

The Property of Periodic Point-Set of Non-Chaotic Self-Maps on Line-Segment[0,1]

作　　者：赵勇[1] ZHAO Yong(School of Mathmatics and Information,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2018年第4期410-412,共3页Journal of China West Normal University(Natural Sciences)

摘　　要：线段I=[0,1]上的连续自映射混沌的充要条件是什么?这是一维动力系统中一个非常重要而又一直未能得到解决的问题,到目前为止,仍然有不少研究者致力于解决这一问题。对这一问题,本文继续在前文研究结果和思路的基础上,研究并得到了线段上连续非混沌自映射周期数集的PP(f)一个重要性质,从而为研究混沌充要条件提供了一个新途径。What are the necessary-sufficient conditions for continuous self-maps chaos on the line segment I=[0,1]?It is an unsolved problem of importance in one dimensional dynamic system.By far,a lot of researchers are still working on it.In this paper,an important property of the periodic number-sets PP(f)of continuous non chaotic sef-maps on line segment I is obtained on the basis of previous research results and ideas.It will provide a new way to study the essence of chaos.

关 键 词：连续 混沌 自映射 ω-极限点 周期点集 

分 类 号：O189.11[理学—数学]