Asymptotic periodicity of trajectories of an interval

Fedorenko, V.
May 2009
Ukrainian Mathematical Journal;May2009, Vol. 61 Issue 5, p854
Academic Journal
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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