可降映射的混沌集与渐近周期点  

The chaotic set and asymptotic periodic point of descendible mapping

作　　者：晏炳刚[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《河北工程大学学报（自然科学版）》2007年第3期101-103,共3页Journal of Hebei University of Engineering:Natural Science Edition

摘　　要：研究了可降映射的混沌集和渐近周期点与其下降组各映射的混沌集和渐近周期点的关系,证明了可降映射的混沌集和渐近周期点分别是下降组各个映射的混沌集和渐近周期点的笛卡尔乘积。同时还得到:若可降映射有混沌集和渐近周期点,则下降组各个映射一定分别存在混沌集和渐近周期点,且分别都满足笛卡尔乘积关系。The relations between chaotic set and asyonptotic periodic point of descendible mapping and chaotic set and asyonptotic periodic point of mapping in descengible group were discussed. It was proved that the chaotic set and asyonpeotic point of descendible mapping was the cartesian product respective of chaotic set and asyonptotic periodic point in descendible group. It was also abtained that if the chaotic set and asyonptotic periodic point of descendible mapping existed, all the mapping in descendible gromp existed chaotic set and asyonptotic periodic point and accorded with the relations of cartesian product.

关 键 词：混沌集 周期点 渐近周期点 可降映射 

分 类 号：O177.2[理学—数学]