COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS
Publish place: Journal of Mahani Mathematical Research، Vol: 5، Issue: 2
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.
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Authors
F. AYATOLLAH ZADEH SHIRAZI
UNIVERSITY OF TEHRAN
F. EBRAHINIFAR
UNIVERSITY OF TEHRAN
A. GHARAGOZLOU
K. N. TOOSI UNIVERSITY OF TECHNOLOGY