Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

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