{
  "id": "1911.05409",
  "version": "v1",
  "published": "2019-11-13T11:31:50.000Z",
  "updated": "2019-11-13T11:31:50.000Z",
  "title": "Contact Hamiltonian systems with nonholonomic constraints",
  "authors": [
    "Manuel de León",
    "Víctor Manuel Jiménez",
    "Manuel Lainz Valcázar"
  ],
  "categories": [
    "math-ph",
    "math.DG",
    "math.DS",
    "math.MP",
    "math.SG"
  ],
  "abstract": "In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-13T11:31:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70G45",
      "70G45",
      "37J60",
      "70F25"
    ],
    "keywords": [
      "nonholonomic constraints",
      "contact hamiltonian systems",
      "nonholonomic dynamics",
      "unconstrained hamiltonian vector field",
      "herglotzs variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}