li-yorke chaotic generalized shift dynamical systems
نویسندگان
چکیده
in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$ for finite discrete $x$ with at least two elements, infinite countable set $gamma$ and arbitrary map $varphi:gammatogamma$, the following statements are equivalent: - the dynamical system $(x^gamma,sigma_varphi)$ is li-yorke chaotic; - the dynamical system $(x^gamma,sigma_varphi)$ has an scrambled pair; - the map $varphi:gammatogamma$ has at least one non-quasi-periodic point.
منابع مشابه
LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS
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عنوان ژورنال:
caspian journal of mathematical sciencesناشر: university of mazandaran
ISSN 1735-0611
دوره 3
شماره 2 2014
کلمات کلیدی
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