Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts
Dynamical Systems
2024-01-19 v1
Abstract
In this paper, for finite discrete field , nonempty set , weight vector and weighted generalized shift , we find necessary and sufficient conditions for uniform dynamical system to be Li--Yorke chaotic. Next we find necessary and sufficient conditions for to be Devaney chaotic.
Keywords
Cite
@article{arxiv.2204.07950,
title = {Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts},
author = {Fatemah Ayatollah Zadeh Shirazi and Elaheh Hakimi and Arezoo Hosseini and Reza Rezavand},
journal= {arXiv preprint arXiv:2204.07950},
year = {2024}
}
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15 pages