On a Class of Rational P-Adic Dynamical Systems
Abstract
In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field 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.
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