Geodesic
Perturbed Dynamical Systems in $\mathfrak p$-Adic Fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 264-272

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Let $k$ be a $\mathfrak p$-adic field, and let $\mathcal D$ be the class of all discrete dynamical systems defined by polynomials of the kind $h(x)=x+g(x)$, where $g(x)\in k[x]$ is irreducible. Using Krasner's lemma as a tool, we investigate the stability of this class with respect to perturbations of the kind $h_r(x)=h(x)+r(x)$, where $h(x)\in \mathcal D$ and $r(x)\in k[x]$. 
@article{TM_2004_245_a26,
     author = {P.-A. Svensson},
     title = {Perturbed {Dynamical} {Systems} in $\mathfrak p${-Adic} {Fields}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {264--272},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a26/}
}
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P.-A. Svensson. Perturbed Dynamical Systems in $\mathfrak p$-Adic Fields. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 264-272. http://geodesic.mathdoc.fr/item/TM_2004_245_a26/