{
  "id": "math/0511204",
  "version": "v2",
  "published": "2005-11-08T15:08:31.000Z",
  "updated": "2006-02-25T19:55:44.000Z",
  "title": "On a Class of Rational $P$-Adic Dynamical Systems",
  "authors": [
    "Murod Khamraev",
    "Farrukh Mukhamedov"
  ],
  "comment": "17 pages",
  "journal": "J.Math.Anal.Appl. 315(2006), 76-89",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "In this paper we investigate the behavior of trajectories of one class of rational $p$-adic dynamical systems in complex $p$-adic field $\\C_p$. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-25T19:55:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46S10",
      "12J12",
      "11S99",
      "30D05",
      "54H20"
    ],
    "keywords": [
      "adic dynamical systems",
      "siegel disks",
      "haar measure",
      "unit sphere",
      "adic field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}