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On Local Aspects of Topological Transitivity and Weak Mixing in Set-Valued Discrete Systems
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Blanchard and Huang introduced the notion of weakly mixing subset, and Oprocha and Zhang gave the concept of transitive subset and studied its basic properties.
In this paper our main goal is to discuss the weakly mixing subsets and transitive subsets in set-valued discrete systems.
We prove that a set-valued discrete system has a transitive subset if and only if original system has a weakly mixing subset.
Moreover, we give an example showing that original system has a transitive subset, which does not imply set-valued discrete system has a transitive subset.
American Psychological Association (APA)
Liu, Lei. 2013. On Local Aspects of Topological Transitivity and Weak Mixing in Set-Valued Discrete Systems. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-459997
Modern Language Association (MLA)
Liu, Lei. On Local Aspects of Topological Transitivity and Weak Mixing in Set-Valued Discrete Systems. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-459997
American Medical Association (AMA)
Liu, Lei. On Local Aspects of Topological Transitivity and Weak Mixing in Set-Valued Discrete Systems. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-459997
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459997