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

Authors

  • V. V. Fedorenko

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.

Published

25.03.2002

Issue

Section

Short communications

How to Cite

Fedorenko, V. V. “Topological Limit of Trajectories of Intervals of Simplest One-Dimensional Dynamical Systems”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 3, Mar. 2002, pp. 425-30, https://umj.imath.kiev.ua/index.php/umj/article/view/4080.