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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Ukrains’kyi Matematychnyi Zhurnal