2017
Том 69
№ 9

All Issues

Topological Limit of Trajectories of Intervals of Simplest One-Dimensional Dynamical Systems

Fedorenko V. V.

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Abstract

We consider dynamical systems generated by continuous maps of an interval into itself. We investigate the asymptotic behavior of the trajectories of subsets of the interval. In particular, we prove that if the ω-limit set of an arbitrary trajectory is a fixed point, then the topological limit of the trajectory of any subinterval exists.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 3, pp 527-532.

Citation Example: Fedorenko V. V. Topological Limit of Trajectories of Intervals of Simplest One-Dimensional Dynamical Systems // Ukr. Mat. Zh. - 2002. - 54, № 3. - pp. 425-430.

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