{
  "id": "math/0604177",
  "version": "v1",
  "published": "2006-04-07T23:16:02.000Z",
  "updated": "2006-04-07T23:16:02.000Z",
  "title": "Stability and Hopf Bifurcation in the Watt Governor System",
  "authors": [
    "Jorge Sotomayor",
    "Luis Fernando Mello",
    "Denis de Carvalho Braga"
  ],
  "comment": "23 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study the Lyapunov stability and Hopf bifurcation in a system coupling a Watt-centrifugal-governor with a steam-engine. Sufficient conditions for the stability of the equilibrium state in terms of the physical parameters and of the bifurcating periodic orbit at most critical parameters on the bifurcation surface are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-07T23:16:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K50",
      "70K20"
    ],
    "keywords": [
      "watt governor system",
      "hopf bifurcation",
      "lyapunov stability",
      "sufficient conditions",
      "equilibrium state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4177S"
    }
  }
}