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.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
关键词
分离集
张成集
幂系统
积系统
Bowen拓扑熵
separating set spanning set
power system
product system Bowen-topology entropy
