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

Farrukh Mukhamedov, José F. F. Mendes

In 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 orb…