{
  "id": "1102.3269",
  "version": "v1",
  "published": "2011-02-16T09:09:56.000Z",
  "updated": "2011-02-16T09:09:56.000Z",
  "title": "Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations",
  "authors": [
    "Giampaolo Cicogna"
  ],
  "comment": "15 pages, Proceedings of Workshop on Group Analysis of Differential Equations and Integrable Systems, Protaras, Cyprus, June 2010",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "After a brief survey of the definition and the properties of Lambda-symmetries in the general context of dynamical systems, the notion of \"Lambda-constant of motion'' for Hamiltonian equations is introduced. If the Hamiltonian problem is derived from a Lambda-invariant Lagrangian, it is shown how the Lagrangian Lambda-invariance can be transferred into the Hamiltonian context and shown that the Hamiltonian equations turn out to be Lambda-symmetric. Finally, the \"partial'' (Lagrangian) reduction of the Euler-Lagrange equations is compared with the reduction obtained for the corresponding Hamiltonian equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-16T09:09:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical systems",
      "lagrangian equations",
      "lambda-symmetries",
      "hamiltonian equations turn",
      "corresponding hamiltonian equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.3269C"
    }
  }
}