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

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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 orbits of the system is related to the geometry of the $p$-adic Siegel discs.
19 pages. J. Differential Equations (2007) (to appear)

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