Some Chaotic Results of Product on Zero Dimension Spaces

Farah Watan  Kamel; Iftichar M. T.  AL - Sharaâ€™a

doi:10.24996/ijs.2020.61.2.22

Authors

Farah Watan Kamel Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
Iftichar M. T. AL - Sharaâ€™a Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.2.22

Keywords:

Devaney Chaos, LypanoveÎµ â€“unstable, Topological Mixing, Shift of finite type, weakly blending, strongly blending

Abstract

In this work , we study different chaotic properties of the product space on a one-step shift of a finite type, as well as other spaces. We prove that the product is Lyapunove â€“unstable if and only if at least one or is Lyapunove â€“unstable. Also, we show that and locally everywhere onto (l.e.o) if and only if is locally everywhere onto (l.e.o) .