{
  "id": "math/0610641",
  "version": "v1",
  "published": "2006-10-21T01:34:01.000Z",
  "updated": "2006-10-21T01:34:01.000Z",
  "title": "Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems",
  "authors": [
    "Zhenxin Liu",
    "Dalai Yihe",
    "Qingdao Huang"
  ],
  "comment": "LaTeX, 17 pages",
  "journal": "Northeast. Math. J. 21 (4) (2005), 447-464",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graff and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on sub-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-21T01:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J40",
      "70H05",
      "70K60"
    ],
    "keywords": [
      "generalized hamiltonian systems",
      "hyperbolic tori",
      "hyperbolic invariant tori",
      "angle variables",
      "persistence problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10641L"
    }
  }
}