{
  "id": "math/0608573",
  "version": "v1",
  "published": "2006-08-23T11:30:40.000Z",
  "updated": "2006-08-23T11:30:40.000Z",
  "title": "On chaos of a cubic $p$-adic dynamical system",
  "authors": [
    "Farrukh Mukhamedov",
    "José F. F. Mendes"
  ],
  "comment": "10 pages",
  "journal": "In book: Differential Equations, Chaos and Variational Problems, Series: Progress in Nonlinear Differential Equations and Their Applications, Vol. 75. Staicu, Vasile (Ed.), 2008, pp. 305--316",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-23T11:30:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E99",
      "37B25",
      "54H20",
      "12J12"
    ],
    "keywords": [
      "adic dynamical system",
      "adic siegel discs",
      "attraction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8573M"
    }
  }
}