On the chaotic behavior of a generalized logistic p-adic dynamical system
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🧮 math.DS
math.NT
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systemadicdescribediscsdynamicalsiegelattractionbasin
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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.
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