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Asymptotic periodicity of trajectories of an interval

We consider dynamical systems generated by continuous mappings of an interval I into itself. We prove that the trajectory of an interval J ⊂ I is asymptotically periodic if and only if J contains an asymptotically periodic point.

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Bibliographic Details
Date:	2009
Main Authors:	Fedorenko, V. V., Федоренко, В. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3054
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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