COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS

Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_KJMMRC-5-2_004

تاریخ نمایه سازی: 5 خرداد 1398

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 $varphi:GammatoGamma$ 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.

Authors

F. AYATOLLAH ZADEH SHIRAZI

UNIVERSITY OF TEHRAN

F. EBRAHINIFAR

UNIVERSITY OF TEHRAN

A. GHARAGOZLOU

K. N. TOOSI UNIVERSITY OF TECHNOLOGY