Topological entropy, pseudo-orbits and uniform spaces

被引：15

作者：

Yan, Kesong ^{[1
]}

Zeng, Fanping ^{[1
]}

机构：

[1] Guangxi Univ Finance & Econ, Sch Informat & Stat, Nanning 530003, Guangxi, Peoples R China

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 210卷

关键词：

Pseudo-orbits; Topological entropy; Uniform spaces; Point entropy; MAPS;

D O I：

10.1016/j.topol.2016.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notions of pseudo-orbit entropy, periodic pseudo-orbit entropy and pseudo-orbit point entropy for continuous maps on compact uniform spaces, and study their relationships with the topological entropy. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：168 / 182

页数：15

共 19 条

[1] TOPOLOGICAL ENTROPY [J].

ADLER, RL ;

KONHEIM, AG ;

MCANDREW, MH .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 114 (02) :309-&

[2]

[Anonymous], CBMS C SERIES

[3]

[Anonymous], 1975, LECT NOTES MATH

[4] ROTATION SHADOWING PROPERTIES OF CIRCLE AND ANNULUS MAPS [J].

BARGE, M ;

SWANSON, R .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1988, 8 :509-521

[5] PSEUDO-ORBITS AND TOPOLOGICAL-ENTROPY [J].

BARGE, M ;

SWANSON, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (02) :559-566

[6]

Bourbaki N., 1989, ELEMENTS MATH ALGEBR

[7] ENTROPY FOR GROUP ENDOMORPHISMS AND HOMOGENEOUS SPACES [J].

BOWEN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 153 (JAN) :401-&

[8] Sensitivity and devaney's chaos in uniform spaces [J].

Ceccherini-Silberstein, Tullio ;

Coornaert, Michel .

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2013, 19 (03) :349-357

[9]

Dinaburg E.I., 1971, IZV AKAD NAUK SSSR, V35, P324

[10]

Hammel S. M., 1987, Journal of Complexity, V3, P136, DOI 10.1016/0885-064X(87)90024-0

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