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

Murod Khamraev; Farrukh Mukhamedov

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

动力系统 2007-05-23 v2 数论

作者: Murod Khamraev , Farrukh Mukhamedov

摘要

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.

关键词

dynamical systems and chaos

引用

@article{arxiv.math/0511204,
  title  = {On a Class of Rational $P$-Adic Dynamical Systems},
  author = {Murod Khamraev and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:math/0511204},
  year   = {2007}
}

备注

17 pages

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