{
  "id": "0903.3728",
  "version": "v1",
  "published": "2009-03-22T15:13:23.000Z",
  "updated": "2009-03-22T15:13:23.000Z",
  "title": "Global Orbit Patterns for Dynamical Systems On Finite Sets",
  "authors": [
    "R. Lozi",
    "C. Fiol"
  ],
  "comment": "29 pages, 3 figures. to appear in Proceedings of the International Conference On Modeling of Engineering & Technological Problems (ICMETP), Agra (India), 2009. Published by the American Institute of Physics, U.S.A",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, the study of the global orbit pattern (gop) formed by all the periodic orbits of discrete dynamical systems on a finite set $X$ allows us to describe precisely the behaviour of such systems. We can predict by means of closed formulas, the number of gop of the set of all the function from $X$ to itself. We also explore, using the brute force of computers, some subsets of locally rigid functions on $X$, for which interesting patterns of periodic orbits are found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-22T15:13:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.30.Sa",
      "02.60.Pn",
      "02.70.Bf",
      "05.45.-a"
    ],
    "keywords": [
      "global orbit pattern",
      "finite set",
      "periodic orbits",
      "discrete dynamical systems",
      "brute force"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AIPC.1146..303L"
    }
  }
}