Author： Fedorenko V.V.
Publisher： Springer Publishing Company
ISSN： 0041-5995
Source： Ukrainian Mathematical Journal, Vol.54, Iss.3, 2002-03, pp. : 527-532
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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 -limit set of an arbitrary trajectory is a fixed point, then the topological limit of the trajectory of any subinterval exists.
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