{
  "id": "2409.13450",
  "version": "v1",
  "published": "2024-09-20T12:31:11.000Z",
  "updated": "2024-09-20T12:31:11.000Z",
  "title": "Discrete-Time Dynamical Systems Generated by a Quadratic Operator",
  "authors": [
    "S. K. Shoyimardonov",
    "U. A. Rozikov"
  ],
  "comment": "14 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis revealed that there are no attractive fixed points except the origin. Additionally, we investigated the global dynamics in the two-dimensional case and generalized several results obtained for lower-dimensional scenarios",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-20T12:31:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34D20",
      "92D25"
    ],
    "keywords": [
      "discrete-time dynamical systems",
      "quadratic operator",
      "lower-dimensional scenarios",
      "two-dimensional case",
      "specific class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}