On a Class of Rational $P$-Adic Dynamical Systems

Khamraev, Murod; Mukhamedov, Farrukh

On a Class of Rational $P$-Adic Dynamical Systems

Authors

Description

In this paper we investigate the behavior of trajectories of one class of rational $p$-adic dynamical systems in complex $p$-adic field $\C_p$. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.
17 pages