Farrukh Mukhamedov, Utkir Rozikov
Published 2005-11-08, updated 2006-02-25Version 2
In the paper we investigate the behavior of trajectory of rational $p$-adic dynamical system in complex $p$-adic filed $\C_p$. It is studied Siegel disks and attractors of such dynamical systems. We show that Siegel disks may either coincide or disjoin for different fixed points of the dynamical system. Besides, we find the basin of the attractor of the system. It is proved that such kind of dynamical system is not ergodic on a unit sphere with respect to the Haar measure.
Comments: 15 pages
Journal: Published in Methods of Funct. Anal. Topology 10(2004), 21-31
On a Class of Rational $P$-Adic Dynamical Systems
$p$-adic dynamical systems of the function $\dfrac{ax}{x^2+a}$
On a non-linear $p$-adic dynamical system
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