A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We prove that if a continuous, Lyapunov stable map f from a compact metric space X into itself is topologically transitive and has the asymptotic average shadowing property, then X is consisting of one point.
As an application, we prove that the identity map iX:X→X does not have the asymptotic average shadowing property, where X is a compact metric space with at least two points.
American Psychological Association (APA)
Li, Risong& Zhou, Xiaoliang. 2011. A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-6.
https://search.emarefa.net/detail/BIM-465817
Modern Language Association (MLA)
Li, Risong& Zhou, Xiaoliang. A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-6.
https://search.emarefa.net/detail/BIM-465817
American Medical Association (AMA)
Li, Risong& Zhou, Xiaoliang. A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-6.
https://search.emarefa.net/detail/BIM-465817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465817