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On chaos of a cubic $p$-adic dynamical system

Farrukh Mukhamedov·José F. F. Mendes
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Abstract

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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Farrukh Mukhamedov, José F. F. Mendes. 2006-08-23. On chaos of a cubic $p$-adic dynamical system. https://arxiv.org/abs/math/0608573

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