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:
journal of mahani mathematical research centerجلد ۵، شماره ۲، صفحات ۸۵-۹۴
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