2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142544In the paper we describe basin of attraction $p$-adic dynamical system $G(x)=(ax)^2(x+1)$. 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)Dynamical SystemsNumber Theory37E99, 37B25, 54H20, 12J12text