{
  "id": "1705.03631",
  "version": "v1",
  "published": "2017-05-10T07:07:11.000Z",
  "updated": "2017-05-10T07:07:11.000Z",
  "title": "Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105",
  "authors": [
    "A. Ardito",
    "P. Ricciardi",
    "E. Massaro",
    "T. Mineo",
    "F. Massa"
  ],
  "comment": "Published on International Journal of Non-Linear Mechanics, vol. 88, pp. 142-147",
  "doi": "10.1016/j.ijnonlinmec.2016.10.017",
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "This paper introduces a biparametric family of Lyapunov functions for a non-linear mathematical model based on the FitzHugh-Nagumo equations able to reproduce some main features of the X-ray bursting behaviour exhibited by the microquasar GRS 1915+105. These functions are useful to investigate the properties of equilibrium points and allow us to demonstrate a theorem on the global stability. The transition between bursting and stable behaviour is also analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-10T07:07:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microquasar grs",
      "lyapunov functions",
      "non-linear model",
      "non-linear mathematical model",
      "fitzhugh-nagumo equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}