{
  "id": "2108.04956",
  "version": "v1",
  "published": "2021-08-10T22:47:20.000Z",
  "updated": "2021-08-10T22:47:20.000Z",
  "title": "Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides",
  "authors": [
    "Francesco Calogero",
    "Farrin Payandeh"
  ],
  "comment": "3 Pages",
  "categories": [
    "math.DS",
    "nlin.SI"
  ],
  "abstract": "In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their right-hand sides, which feature very simple explicit solutions. A novelty of these findings is to consider special systems characterized by constraints involving both their parameters and their initial data",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-10T22:47:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order difference equations",
      "homogeneous polynomial right-hand sides",
      "explicitly solvable systems",
      "special systems",
      "simple explicit solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}