一类代换系统及其超空间系统  

A class of substitution systems and the hyperspace systems

作　　者：汪威[1] 李健[1] 朱晓刚 廖梦兰[3] 陈冰冰[1] 

机构地区：[1]吉林农业大学信息技术学院,吉林长春130118 [2]长春工程技术学院机械系,吉林长春130117 [3]吉林大学数学研究所,吉林长春130012

出　　处：《东北师大学报（自然科学版）》2015年第3期9-11,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省科技发展计划项目(20140204045NY;20130522110JH);吉林省教育厅"十二五"科学技术研究项目(2014第468号);吉林农业大学科研启动基金资助项目(201310)

摘　　要：考察了非本原代换及其诱导的集值映射的动力学性质.给出了该类代换诱导的超空间系统是Li-Yorke混沌的一个充分条件.证明了这类代换的拓扑熵为0,并且给出了这类代换诱导的集值映射具有零拓扑熵的一个充分条件.As an important component of nonlinear science, the research on dynamical system has penetrated into many problems of agricultural production, such as prediction of corn yield and research on ecological difference equation. In this paper, we investigated dynamical properties for non-primitive substitution and the set-valued maps induced by the substitution. We gave a sufficient condition for the set-valued maps to be Li-Yorke chaotic, proved that the topological entropy of the substitution is zero, and gave a sufficient condition for the set-valued maps to have 0 topological entropy.

关 键 词：代换 超空间系统 拓扑熵 LI-YORKE混沌 

分 类 号：O189[理学—数学]