{
  "id": "1001.0482",
  "version": "v1",
  "published": "2010-01-04T11:30:46.000Z",
  "updated": "2010-01-04T11:30:46.000Z",
  "title": "A unified framework for mechanics. Hamilton-Jacobi equation and applications",
  "authors": [
    "P. Balseiro",
    "J. C. Marrero",
    "D. Martin de Diego",
    "E. Padron"
  ],
  "comment": "30 pages, 3 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems subjected to external forces, time-dependent mechanical systems...). We recover all these, in principle, different cases using a unified framework based on skew-symmetric algebroids with a distinguished 1-cocycle. Several examples illustrate the theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-04T11:30:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H20",
      "70G45",
      "70F25"
    ],
    "keywords": [
      "unified framework",
      "applications",
      "construct hamilton-jacobi equations",
      "time-dependent mechanical systems",
      "great variety"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/23/8/006",
      "journal": "Nonlinearity",
      "year": 2010,
      "month": "Aug",
      "volume": 23,
      "number": 8,
      "pages": 1887
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010Nonli..23.1887B"
    }
  }
}