On the chaotic behavior of a generalized logistic $p$-adic dynamical system

Farrukh Mukhamedov; José F. F. Mendes

doi:10.1016/j.jde.2007.01.014

paper

On the chaotic behavior of a generalized logistic $p$ -adic dynamical system

arXiv:math/0702697 · doi:10.1016/j.jde.2007.01.014

Abstract

In the paper we describe basin of attraction $p$ -adic dynamical system $G (x) = (a x)^{2} (x + 1)$ . Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the $p$ -adic Siegel discs.

19 pages. J. Differential Equations (2007) (to appear)

On the chaotic behavior of a generalized logistic p-adic dynamical system

Abstract

On the chaotic behavior of a generalized logistic $p$ -adic dynamical system