ON RATIONAL P-ADIC DYANAMICAL SYSTEMS
ON RATIONAL P-ADIC DYANAMICAL SYSTEMS
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发表时间：
2005-11
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通讯作者：
F. Mukhamedov;U. Rozikov
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作者：
F. Mukhamedov;U. Rozikov
本文研究了有理p-adic动力系统在复p-adic域Cp中的轨线的行为。研究了这类动力系统的Siegel盘和吸引子。我们表明，西格尔磁盘可以重合或分离的动力系统的不同的不动点。此外，我们还找到了系统吸引子的盆。证明了这类动力系统在单位球面上关于Haar测度不是遍历的。
In the paper we investigate the behavior of trajectory of rational p-adic dynamical system in complex p-adic filed Cp. It is studied Siegel disks and attractors of such dynamical systems. We show that Siegel disks may either coincide or disjoin for different fixed points of the dynamical system. Besides, we find the basin of the attractor of the system. It is proved that such kind of dynamical system is not ergodic on a unit sphere with respect to the Haar measure.