Some Results on the Average Inverse Shadowing Property and Strong Ergodicity

Authors

Iftichar Mudhar Talb Al-Shara'a
Sarah Khadr Khazem Al Sultani

Abstract

Let (Ӽ,ᶁ1)and (Ƴ,ᶁ2)be compact metric spaces, ʄ:(Ӽ,ᶁ1)→(Ӽ,ᶁ1)and: (Ƴ,ᶁ2)→(Ƴ,ᶁ2)be continuous maps. If ʄand ��have dense minimal points and the average inverse shadowing property, we have proved ʄ×��has an average inverse shadowing property, topological transitive and dense minimal points. Moreover, we have proved ʄis totally strongly ergodic and weakly mixing

Keywords

average inverse Shadowing property, topological transitive, topological ergodic, strongly ergodic.

Article Type

Article

How to Cite this Article

Al-Shara'a, Iftichar Mudhar Talb and Al Sultani, Sarah Khadr Khazem (2018) "Some Results on the Average Inverse Shadowing Property and Strong Ergodicity," Baghdad Science Journal: Vol. 15: Iss. 4, Article 15.
DOI: https://doi.org/10.21123/bsj.2018.15.4.0479