{
  "id": "1805.10637",
  "version": "v1",
  "published": "2018-05-27T15:17:27.000Z",
  "updated": "2018-05-27T15:17:27.000Z",
  "title": "Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus",
  "authors": [
    "Piermarco Cannarsa",
    "Qinbo Chen",
    "Wei Cheng"
  ],
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, and build the relation between the $\\omega$-limit set of this semiflow and the projected Aubry set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-27T15:17:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak kam solutions",
      "asymptotic behavior",
      "singularities",
      "projected aubry set",
      "mechanical hamiltonian systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}