On a class of rational p-adic dynamical systems |
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| Authors: | Murod Khamraev Farrukh Mukhamedov |
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| Affiliation: | a Department of Mathematics, University of Manchester, Manchester, UK
b Department of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, Tashkent 700174, Uzbekistan |
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| Abstract: | In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field Cp. 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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| Keywords: | Rational dynamics Attractors Siegel disk Complex p-adic field Ergodicity |
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