COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS

Document Type : Research Paper

Authors

1 UNIVERSITY OF TEHRAN

2 K. N. TOOSI UNIVERSITY OF TECHNOLOGY

Abstract

‎In the following text for arbitrary $X$ with at least two elements‎, ‎nonempty countable set $\Gamma$‎
‎we make a comparative study on the collection of generalized shift dynamical systems like $(X^\Gamma,\sigma_\varphi)$ where $\varphi:\Gamma\to\Gamma$ is an arbitrary self-map‎.
‎We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney‎, ‎exact Devaney‎, ‎Li-Yorke‎, ‎e-chaoticity and P-chaoticity‎.

Keywords


Volume 5, Issue 2
SPECIAL ISSUE FOR SELECTED PAPERS OF CONFERENCE ON DYNALMICAL SYSTEMS AND GEOMETRIC THEORIES, 11-12 DECEMBER 2016, MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
February 2017
Pages 85-97
  • Receive Date: 22 January 2017
  • Revise Date: 08 February 2017
  • Accept Date: 20 February 2017