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li-yorke chaotic generalized shift dynamical systems
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نویسنده
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ayatollah zadeh shirazi f. ,nazarian sarkooh j.
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منبع
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caspian journal of mathematical sciences - 2014 - دوره : 3 - شماره : 2 - صفحه:289 -295
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چکیده
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in this text we prove that in generalized shift dynamical system (xgamma,sigmavarphi) 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 (xgamma,sigmavarphi) is li-yorke chaotic; - the dynamical system (xgamma,sigmavarphi) has an scrambled pair; - the map varphi:gammatogamma has at least one non-quasi-periodic point.
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کلیدواژه
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generalized shift ,li-yorke chaos ,scrambled pair
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آدرس
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university of tehran, college of science, faculty of math., stat. and computer science, ایران, ferdowsi university of mashhad, faculty of mathematical sciences, ایران
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Authors
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