{
  "id": "1107.4231",
  "version": "v1",
  "published": "2011-07-21T10:53:59.000Z",
  "updated": "2011-07-21T10:53:59.000Z",
  "title": "Asymptotic Stability of Dissipated Hamilton-Poisson Systems",
  "authors": [
    "Petre Birtea",
    "Dan Comănescu"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \\cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Hamiltonian function but not the Poisson geometry of the initial Hamilton-Poisson system. We will give precise results about asymptotic stabilizability of the stable equilibria of the initial Hamilton-Poisson system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-21T10:53:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C10",
      "37C75",
      "70E50"
    ],
    "keywords": [
      "dissipated hamilton-poisson systems",
      "asymptotic stability",
      "initial hamilton-poisson system",
      "hamiltonian function",
      "poisson geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.4231B"
    }
  }
}