  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.
