{
  "id": "1101.1197",
  "version": "v5",
  "published": "2011-01-06T11:54:51.000Z",
  "updated": "2012-12-05T11:11:36.000Z",
  "title": "On the stability of periodic orbits in delay equations with large delay",
  "authors": [
    "Jan Sieber",
    "Matthias Wolfrum",
    "Mark Lichtner",
    "Serhiy Yanchuk"
  ],
  "comment": "postprint version",
  "journal": "Discrete and Continuous Dynamical Systems - Series A 33(7), 3109-3134, 2013",
  "doi": "10.3934/dcds.2013.33.3109",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a necessary and sufficient criterion for the exponential stability of periodic solutions of delay differential equations with large delay. We show that for sufficiently large delay the Floquet spectrum near criticality is characterized by a set of curves, which we call asymptotic continuous spectrum, that is independent on the delay.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-12-05T11:11:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K13",
      "34K20",
      "34K06"
    ],
    "keywords": [
      "delay equations",
      "periodic orbits",
      "delay differential equations",
      "periodic solutions",
      "sufficient criterion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.1197S"
    }
  }
}