The Chaotic Properties of the Shift Map and His Conjugacy of Horseshoe Map

Farah Watan  Kamel; Iftichar M. T.  AL-Shara’a

The Chaotic Properties of the Shift Map and His Conjugacy of Horseshoe Map

Authors

Farah Watan Kamel Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq.
Iftichar M. T. AL-Shara’a Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq.

Keywords:

Devaney Chaos, Topological Conjugacy, Topological Mixing, Shift of finite type, weakly blending, strongly blending

Abstract

In our study, we prove some chaotic properties of the shift map on the symbol space and apply the topological conjugacy property of the shift map on the horseshoe map.

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Published

2020-03-11

How to Cite

[1]

F. W. . Kamel and I. M. T. . AL-Shara’a, “The Chaotic Properties of the Shift Map and His Conjugacy of Horseshoe Map ”, JUBPAS, vol. 27, no. 6, pp. 212-223, Mar. 2020.