{
  "id": "2305.01739",
  "version": "v1",
  "published": "2023-05-02T19:13:44.000Z",
  "updated": "2023-05-02T19:13:44.000Z",
  "title": "Computation of Normal Forms for Systems with Many Parameters",
  "authors": [
    "Tatjana Petek",
    "Valery G. Romanovski"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We present a new method for computing normal forms of polynomial systems of ODEs depending on many parameters. It is based on using Lie transforms in the space of parameters, which is a kind of a dual space. The approach provides a simple way to parallelize the normal form computations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-02T19:13:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parameters",
      "normal form computations",
      "polynomial systems",
      "simple way",
      "dual space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}