{
  "id": "1406.4111",
  "version": "v1",
  "published": "2014-06-11T07:22:42.000Z",
  "updated": "2014-06-11T07:22:42.000Z",
  "title": "Side conditions for ordinary differential equations",
  "authors": [
    "G. Cicogna",
    "G. Gaeta",
    "S. Walcher"
  ],
  "comment": "To appear in J. of Lie Theory",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditions of so-called LaSalle type are of special interest. Moreover we put side condition properties of symmetric and partially symmetric equations in a wider context. In the final section we present an application to parameter-dependent systems, in particular to quasi-steady state for chemical reactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-11T07:22:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A05",
      "34C14",
      "34C45",
      "92C45"
    ],
    "keywords": [
      "ordinary differential equations",
      "rosenaus side condition heuristics",
      "side condition properties",
      "lasalle type",
      "quasi-steady state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.4111C"
    }
  }
}