{
  "id": "2003.13445",
  "version": "v1",
  "published": "2020-03-30T13:09:05.000Z",
  "updated": "2020-03-30T13:09:05.000Z",
  "title": "A generalized Grobman-Hartman theorem for nonautonomous dynamics",
  "authors": [
    "Lucas Backes",
    "Davor Dragicevic"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "The purpose of this note is to extend the recent generalized version of the Grobman-Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous to the nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation of a nonautonomous linear dynamics that admits a generalized exponential dichotomy is topologically conjugated to its linear part. In addition, we prove that under certain mild additional conditions, the conjugacy is in fact H\\\"older continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-30T13:09:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized grobman-hartman theorem",
      "nonautonomous dynamics",
      "mild additional conditions",
      "nonautonomous linear dynamics",
      "bernardes jr"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}