{
  "id": "0903.4902",
  "version": "v1",
  "published": "2009-03-27T20:26:47.000Z",
  "updated": "2009-03-27T20:26:47.000Z",
  "title": "Lin's method for heteroclinic chains involving periodic orbits",
  "authors": [
    "Jürgen Knobloch",
    "Thorsten Rieß"
  ],
  "journal": "Nonlinearity 23 (2010), 23-54",
  "categories": [
    "math.DS"
  ],
  "abstract": "We present an extension of the theory known as Lin's method to heteroclinic chains that connect hyperbolic equilibria and hyperbolic periodic orbits. Based on the construction of a so-called Lin orbit, that is, a sequence of continuous partial orbits that only have jumps in a certain prescribed linear subspace, estimates for these jumps are derived. We use the jump estimates to discuss bifurcation equations for homoclinic orbits near heteroclinic cycles between an equilibrium and a periodic orbit (EtoP cycles).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-27T20:26:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C29",
      "37G25",
      "34C23",
      "34C60"
    ],
    "keywords": [
      "lins method",
      "heteroclinic chains",
      "hyperbolic periodic orbits",
      "connect hyperbolic equilibria",
      "equilibrium"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/23/1/002",
      "journal": "Nonlinearity",
      "year": 2010,
      "month": "Jan",
      "volume": 23,
      "number": 1,
      "pages": 23
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010Nonli..23...23K"
    }
  }
}