COUNTEREXAMPLES IN CHAOTIC GENERALIZED SHIFTS
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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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Journal title
volume 5 issue 2
pages 85- 97
publication date 2017-02-01
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