Some chaotic properties of G-average shadowing property
Other Title(s)
بعض الخصائص الفوضوية لخاصية معدل التظليل في فضاء-G
Joint Authors
al-Jabburi, Rad Safah Abbud
al-Shara, Iftikhar Mudar Talib
Source
Issue
Vol. 61, Issue 7 (31 Jul. 2020), pp.1715-1723, 9 p.
Publisher
University of Baghdad College of Science
Publication Date
2020-07-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract EN
Let (M,ɗ ) be a metric G-space , ɸ ∶M→M be a continuous map.
The notion of the G -average shadowing property (G ASP ) for a continuous map on G –space are introduced and the relation between the G ASP and average shadowing property(ASP)are investigated.
We show that if ɸ has GASP, then ɸ^m has GASP for every m∈N.
We proved that if a map ɸ be pseudo-equivariant with dense set of G_ɸ-periodic points and has the G ASP then ɸ is weakly G-mixing.
We also showed that if ɸ is a G –expansive pseudo-equivariant homeomorphism has the GASP and ɸ is topologically G-mixing then ɸ has a G -specification.
We obtained that the identity map ɸ on M has the G ASP if and only if the orbit space M⁄G of M is totally disconnected.
Finally, we showed that if ɸ be a pseudo-equivariant map, and the trajectory map, Ψ∶M →M⁄G , is covering map then ɸ has the GASP if and only if the induced map ɸ ̆ ∶M⁄G → M⁄G , has GASP.
American Psychological Association (APA)
al-Jabburi, Rad Safah Abbud& al-Shara, Iftikhar Mudar Talib. 2020. Some chaotic properties of G-average shadowing property. Iraqi Journal of Science،Vol. 61, no. 7, pp.1715-1723.
https://search.emarefa.net/detail/BIM-970123
Modern Language Association (MLA)
al-Jabburi, Rad Safah Abbud& al-Shara, Iftikhar Mudar Talib. Some chaotic properties of G-average shadowing property. Iraqi Journal of Science Vol. 61, no. 7 (2020), pp.1715-1723.
https://search.emarefa.net/detail/BIM-970123
American Medical Association (AMA)
al-Jabburi, Rad Safah Abbud& al-Shara, Iftikhar Mudar Talib. Some chaotic properties of G-average shadowing property. Iraqi Journal of Science. 2020. Vol. 61, no. 7, pp.1715-1723.
https://search.emarefa.net/detail/BIM-970123
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1723
Record ID
BIM-970123