Asymptotic periodicity of trajectories of an interval

  • V. V. Fedorenko

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.
Published
25.05.2009
How to Cite
Fedorenko, V. V. “Asymptotic Periodicity of Trajectories of an Interval”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 5, May 2009, pp. 716-20, https://umj.imath.kiev.ua/index.php/umj/article/view/3054.
Section
Short communications