On chaos of a cubic p-adic dynamical system
classification
🧮 math.DS
math.NT
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systemadicdescribediscsdynamicalsiegelattractionbasin
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In the paper we describe basin of attraction of the $p$-adic dynamical system $f(x)=x^3+ax^2$. 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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