The Retentivity of Chaos under Topological Conjugation
Joint Authors
Wu, Xinxing
Zhu, Peiyong
Lu, Tianxiu
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-29
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The definitions of Devaney chaos (DevC), exact Devaney chaos (EDevC), mixing Devaney chaos (MDevC), and weak mixing Devaney chaos (WMDevC) are extended to topological spaces.
This paper proves that these chaotic properties are all preserved under topological conjugation.
Besides, an example is given to show that the Li-Yorke chaos is not preserved under topological conjugation if the domain is extended to a general metric space.
American Psychological Association (APA)
Lu, Tianxiu& Zhu, Peiyong& Wu, Xinxing. 2013. The Retentivity of Chaos under Topological Conjugation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1032183
Modern Language Association (MLA)
Lu, Tianxiu…[et al.]. The Retentivity of Chaos under Topological Conjugation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-1032183
American Medical Association (AMA)
Lu, Tianxiu& Zhu, Peiyong& Wu, Xinxing. The Retentivity of Chaos under Topological Conjugation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1032183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032183
