逆极限空间转移映射的Martelli混沌

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (03): 15-17.

逆极限空间转移映射的Martelli混沌

华南理工大学数学科学学院；华南理工大学数学科学学院广东广州510640；广东广州510640；

出版日期:2007-08-10 发布日期:2007-08-10
基金资助:
国家自然科学基金资助项目(10571063);广东省自然科学基金资助项目(05006515)

Martelli’s Chaos of the Shift Maps on the Inverse Limit Spaces

(School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China)

Online:2007-08-10 Published:2007-08-10

摘要/Abstract

摘要： 令(X,d)为一紧致度量空间,f∶X→X为连续满射,其逆极限空间为lim←(X,f),σ为lim←(X,f)上的转移映射,主要证明若f为M artelli混沌的当且仅当σ为M artelli混沌的.

关键词: 逆极限空间；转移映射； Martelli混沌；测度中心；

Abstract: Let(X,d)be a compact metric space,and let f:X→X be a continuous surjection.Its inverse limit space is lim←(X,f),and σ is the shift map on lim←(X,f).This paper has proved that f is Martelli chaotic if and only if σ is Martelli chaotic.

Key words: inverse limit space； shift map； Martelli chaotic； measure centre；

程竹琼；马东魁； . 逆极限空间转移映射的Martelli混沌[J]. 广东工业大学学报, 2007, 24(03): 15-17.

CHENG Zhu-qiong,MA Dong-kui. Martelli’s Chaos of the Shift Maps on the Inverse Limit Spaces[J]. Journal of Guangdong University of Technology, 2007, 24(03): 15-17.

参考文献

[1] 马东魁. 关于逆极限空间转移映射的某些性质[J]. 中山大学学报(自然科学版). 1998(06)

[2] 顾荣宝. 逆极限空间上移位映射的拓扑熵与混沌[J]. 武汉大学学报(自然科学版). 1995(01)

[3] 周作领. 弱几乎周期点和测度中心[J]. 中国科学(A辑数学物理学天文学技术科学). 1992(06)

[1] Gian Luigi Forti. Various notions of chaos for discrete dynamical systems. A brief survey[J] ,2005

[1] G IAN L F.Various notions of chaos for d iscrete dynam icalsystems(A brief survey). Aequationes Mathematicae . 2005

[2] PIOTR M,TRANSUE W R R.A transitive m ap on[0,1]whose inverse lim it is the pseudoarc. Proceed ings of theAm erican M athem atical Soc iety . 1991

[3] Li S H.Dynamical properties of the shift maps on the inverse limit spaces. Ergodic Theory and Dynamical Systems . 1992

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed