Murod Khamraev, Farrukh Mukhamedov
Published 2005-11-08, updated 2006-02-25Version 2
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.
Comments: 17 pages
Journal: J.Math.Anal.Appl. 315(2006), 76-89
On Rational $P$-Adic Dyanamical Systems
On a recursive equation over $p$-adic field
$p$-adic dynamical systems of the function $\dfrac{ax}{x^2+a}$
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