{ "id": "0712.4049", "version": "v1", "published": "2007-12-25T06:17:25.000Z", "updated": "2007-12-25T06:17:25.000Z", "title": "On one polynomial $p$-adic dynamical system", "authors": [ "Farrukh Mukhamedov", "Utkir Rozikov" ], "comment": "8 pages, in Russian", "categories": [ "math.DS", "math.NT" ], "abstract": "In the paper we describe basin of attraction and the Siegel discs of the $p$-adic dynamical system $f(x)=x^{2n+1}+ax^{n+1}$ over complex $p$-adic field.", "revisions": [ { "version": "v1", "updated": "2007-12-25T06:17:25.000Z" } ], "analyses": { "subjects": [ "37E99", "37B25", "54H20" ], "keywords": [ "adic dynamical system", "polynomial", "siegel discs", "adic field" ], "note": { "typesetting": "TeX", "pages": 8, "language": "ru", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.4049M" } } }