{
  "id": "1702.02238",
  "version": "v1",
  "published": "2017-02-08T00:56:06.000Z",
  "updated": "2017-02-08T00:56:06.000Z",
  "title": "Invariant tori for the Nosé Thermostat near the High-Temperature Limit",
  "authors": [
    "Leo T. Butler"
  ],
  "comment": "10 pages",
  "journal": "Nonlinearity 29 (2016) 3454-3463",
  "doi": "10.1088/0951-7715/29/11/3454",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let H(q,p) = p^2/2 + V(q) be a 1-degree of freedom mechanical Hamiltonian with a C^n periodic potential V where n>4. The Nos\\'e-thermostated system associated to H is shown to have invariant tori near the infinite temperature limit. This is shown to be true for all thermostats similar to Nos\\'e's. These results complement the result of Legoll, Luskin and Moeckel who proved the existence of such tori near the decoupling limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-08T00:56:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J30",
      "53C17",
      "53C30",
      "53D25"
    ],
    "keywords": [
      "invariant tori",
      "high-temperature limit",
      "infinite temperature limit",
      "freedom mechanical hamiltonian",
      "thermostats similar"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}