F. M. Mukhamedov, U. A. Rozikov, “A polynomial <nobr>$p$</nobr>-adic dynamical system”, TMF, 2012, Volume 170, Number 3,Pages <nobr>448

This article is cited in 8 papers

A polynomial $p$-adic dynamical system

F. M. Mukhamedov^a, U. A. Rozikov^b

^a International Islamic University Malaysia, Kuatan, Malaysia
^b Institute for Mathematics and Information Technologies, National Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

Abstract: We completely describe the Siegel discs and attractors for the $p$-adic dynamical system $f(x)=x^{2n+1}+ax^{n+1}$ on the space of complex $p$-adic numbers.

Keywords: polynomial dynamical system, attractor, Siegel disc, $p$-adic number.

Received: 01.05.2011

DOI: 10.4213/tmf6777