Geodesic
Attracting fixed points of polynomial dynamical systems in fields of~$p$-adic numbers
Izvestiya. Mathematics , Tome 71 (2007) no. 4, pp. 753-764

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We consider dynamical systems of the form $h(x)=x+g(x)$, where $g(x)$ is a monic irreducible polynomial with coefficients in the ring of integers of a $\mathfrak p$-adic field $K$. We also study 2-periodic points of some simple polynomials of this form in the case when $K=\mathbb Q_p$. 
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     title = {Attracting fixed points of polynomial dynamical systems in fields of~$p$-adic numbers},
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A. Yu. Khrennikov; P. Svensson. Attracting fixed points of polynomial dynamical systems in fields of~$p$-adic numbers. Izvestiya. Mathematics , Tome 71 (2007) no. 4, pp. 753-764. http://geodesic.mathdoc.fr/item/IM2_2007_71_4_a3/