On a Class of Rational $P$-Adic Dynamical Systems
Dynamical Systems
2007-05-23 v2 Number Theory
Abstract
In this paper we investigate the behavior of trajectories of one class of rational -adic dynamical systems in complex -adic field . 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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Cite
@article{arxiv.math/0511204,
title = {On a Class of Rational $P$-Adic Dynamical Systems},
author = {Murod Khamraev and Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:math/0511204},
year = {2007}
}
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17 pages