在积系统中对Bowen拓扑熵的讨论  

Discussion of the Bowen-Topology Entropy in the Product System

作　　者：林银河[1] 洪涛清[1] 

机构地区：[1]丽水学院数理学院,浙江丽水323000

出　　处：《西南大学学报（自然科学版）》2008年第12期36-39,共4页Journal of Southwest University(Natural Science Edition)

基　　金：浙江省自然科学基金资助项目(M103069);丽水学院科研资助项目(08JZ09)

摘　　要：在讨论系统与积系统之间分离集和张成集关系的基础上,进一步研究了系统与积系统之间Bowen拓扑熵的一个关系.得到了积系统的Bowen拓扑熵不大于每个系统Bowen拓扑熵的和,同时积系统的Bowen拓扑熵不小于所有系统Bowen拓扑熵的平均值.由此进一步得到m次幂系统的Bowen拓扑熵等于系统Bowen拓扑熵的m倍.Based on the results of a discussion of the relations of separating set and spanning set between systems and product system, we further discuss the relations of Bowen-topology entropy between systems and product system and conclude that the Bowen-topology entropy of the product system is no bigger than the sum of Bowen-topology entropy of each system and that the Bowen-topology entropy of the product system is no smaller than the average value of Bowen-topology entropy of all system. So we further obtain that the Bowen-topology entropy of power system to the power m is m times as large as Bowen-topology entropy of system.

关 键 词：分离集 张成集 幂系统 积系统 Bowen拓扑熵 

分 类 号：O189[理学—数学]