{
  "id": "1508.07427",
  "version": "v1",
  "published": "2015-08-29T10:09:33.000Z",
  "updated": "2015-08-29T10:09:33.000Z",
  "title": "A partial reciprocal of Dirichlet Lagrange Theorem detected by Jets",
  "authors": [
    "G. J. Alva",
    "M. V. P. Garcia"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the stability of an equilibrium point in a conservative Hamiltonian system in the case that equilibrium is not a minimum of the potential energy and this fact is shown by a jet of this function. Thanks to a modification of a result of Krasovskii, we prove that for a large class of systems under these conditions equilibrium is unstable and there is an asymptotic trajectory to that point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-29T10:09:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93D05",
      "34D20",
      "34D05"
    ],
    "keywords": [
      "dirichlet lagrange theorem",
      "partial reciprocal",
      "conservative hamiltonian system",
      "equilibrium point",
      "potential energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807427A"
    }
  }
}