{
  "id": "2209.00135",
  "version": "v1",
  "published": "2022-08-31T21:56:57.000Z",
  "updated": "2022-08-31T21:56:57.000Z",
  "title": "Stabilizing effect of delay in higher dimensions",
  "authors": [
    "Alena Chan"
  ],
  "comment": "10 pages, 18 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We describe a situation where an unstable equilibrium in a $3 \\times 3$ system of linear differential equations may be stabilized by introducing a delayed response, i.e. converting to a system of delayed differential equations. This generalizes one of the cases for $2 \\times 2$ systems studied in 'Delay can stabilize: Love affairs dynamic' by N. Bielczyk et al.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-31T21:56:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher dimensions",
      "stabilizing effect",
      "love affairs dynamic",
      "linear differential equations",
      "delayed differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}