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

• Datum: 2002
• Hauptverfasser: Fedorenko, V. V., Федоренко, В. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4080
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...