{
  "id": "2008.09530",
  "version": "v1",
  "published": "2020-08-21T15:13:40.000Z",
  "updated": "2020-08-21T15:13:40.000Z",
  "title": "The Cucker-Smale model with time delay",
  "authors": [
    "Mauro Rodriguez Cartabia"
  ],
  "comment": "19 pages, 2 figures",
  "categories": [
    "math.AP",
    "math.CA",
    "math.DS"
  ],
  "abstract": "We study the classical Cucker-Smale model in continuous time with a positive time delay $\\tau$. As in the non-delayed case, unconditional flocking occurs when $\\beta \\leq 1/2$ for every $\\tau>0$. Furthermore, we prove the exponential decay for the diameter of the velocities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-21T15:13:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential decay",
      "unconditional flocking occurs",
      "classical cucker-smale model",
      "positive time delay",
      "non-delayed case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}