2017
Том 69
№ 6

All Issues

Asymptotic periodicity of trajectories of an interval

Fedorenko V. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 5, pp 854-858.

Citation Example: Fedorenko V. V. Asymptotic periodicity of trajectories of an interval // Ukr. Mat. Zh. - 2009. - 61, № 5. - pp. 716-720.

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