ON A CLASS OF RATIONAL P-ADIC DYNAMICAL SYSTEMS
ON A CLASS OF RATIONAL P-ADIC DYNAMICAL SYSTEMS
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DOI：
10.1016/j.jmaa.2005.08.041
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发表时间：
2005-11
影响因子：
1.3
通讯作者：
Murod Khamraev;F. Mukhamedov
中科院分区：
文献类型：
--
作者：
Murod Khamraev;F. Mukhamedov
本文研究了一类有理p进动力系统在复p进场Cp中的轨迹行为，并研究了该类动力系统的西格尔盘和吸引子。我们找到了系统吸引子的盆。证明了这种动力系统在单位球上对于哈尔测度是不遍历的。
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.