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

Farrukh Mukhamedov·José F. F. Mendes
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Abstract

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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Farrukh Mukhamedov, José F. F. Mendes. 2007-02-23. On the chaotic behavior of a generalized logistic $p$-adic dynamical system. https://doi.org/10.1016/j.jde.2007.01.014

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