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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104838In 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 pagesDynamical SystemsNumber Theory46S10, 12J12, 11S99, 30D05, 54H20On a Class of Rational $P$-Adic Dynamical Systemstext