{
  "id": "1501.03203",
  "version": "v1",
  "published": "2015-01-13T23:20:08.000Z",
  "updated": "2015-01-13T23:20:08.000Z",
  "title": "Continuous versus discrete structures II -- Discrete Hamiltonian systems and Helmholtz conditions",
  "authors": [
    "Jacky Cresson",
    "Frédéric Pierret"
  ],
  "categories": [
    "math.NA",
    "math.DS"
  ],
  "abstract": "We define discrete Hamiltonian systems in the framework of discrete embeddings. An explicit comparison with previous attempts is given. We then solve the discrete Helmholtz's inverse problem for the discrete calculus of variation in the Hamiltonian setting. Several applications are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-13T23:20:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete structures",
      "helmholtz conditions",
      "define discrete hamiltonian systems",
      "discrete helmholtzs inverse problem",
      "discrete embeddings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150103203C"
    }
  }
}