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On a Class of Rational $P$-Adic Dynamical Systems | Murod Khamraev
; Farrukh Mukhamedov
; | Date: |
25 Feb 2006 | Journal: | J.Math.Anal.Appl. 315(2006), 76-89 | Subject: | Dynamical Systems; Number Theory | Abstract: | 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. | Source: | arXiv, math/0511204 | Services: | Forum | Review | PDF | Favorites |
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