Topological Entropy and Special α-Limit Points of Graph Maps

Joint Authors

Liang, Hailan
Su, Guangwang
He, Qiuli
Sun, Taixiang

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-05-11

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

Let G a graph and f:G→G be a continuous map.

Denote by h(f), R(f), and SA(f) the topological entropy, the set of recurrent points, and the set of special α-limit points of f, respectively.

In this paper, we show that h(f)>0 if and only if SA(f)-R(f)≠∅.

American Psychological Association (APA)

Sun, Taixiang& Su, Guangwang& Liang, Hailan& He, Qiuli. 2011. Topological Entropy and Special α-Limit Points of Graph Maps. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-448318

Modern Language Association (MLA)

Sun, Taixiang…[et al.]. Topological Entropy and Special α-Limit Points of Graph Maps. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-448318

American Medical Association (AMA)

Sun, Taixiang& Su, Guangwang& Liang, Hailan& He, Qiuli. Topological Entropy and Special α-Limit Points of Graph Maps. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-448318

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448318