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Asymptotic periodicity of trajectories of an interval

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

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 5, pp. 716–720, May, 2009.

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Fedorenko, V.V. Asymptotic periodicity of trajectories of an interval. Ukr Math J 61, 854–858 (2009). https://doi.org/10.1007/s11253-009-0238-5

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  • DOI: https://doi.org/10.1007/s11253-009-0238-5

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