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

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dc.creatorKhamraev, Murod
dc.creatorMukhamedov, Farrukh
dc.date2005-11-08
dc.date2006-02-25
dc.date.accessioned2026-07-07T06:50:59Z
dc.date.available2026-07-07T06:50:59Z
dc.descriptionIn 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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0511204
dc.identifierhttp://arxiv.org/abs/math/0511204
dc.identifierJ.Math.Anal.Appl. 315(2006), 76-89
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104838
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject46S10, 12J12, 11S99, 30D05, 54H20
dc.titleOn a Class of Rational $P$-Adic Dynamical Systems
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