连续映射的紧致系统的拓扑熵  

Toppological Entropy of Compact Dynamical System for Continuous Mappings

作　　者：陈燕芬[1] 

机构地区：[1]韩山师范学院数学与信息技术学院,广东潮州521041

出　　处：《重庆师范大学学报（自然科学版）》2004年第4期7-9,共3页Journal of Chongqing Normal University:Natural Science

摘　　要：证明了在一般的紧致度量空间上,等距映射的系统,压缩映射的系统,单位圆上的自同胚映射的系统等的拓扑熵都为零,而可扩映射的系统有正的拓扑熵。We prove in this paper that topological entropy is zero,in systems of equivariant mapping,that systems of compression mapping,and systems of the homeomorphism of unit circle onto itself,while the toppological entropy is positive,that extensible mapping in the compact toppological metric space.

关 键 词：连续映射 紧致系统 拓扑熵 紧致度量空间 可扩映射 

分 类 号：O189.11[理学—数学]