{
  "id": "2003.05828",
  "version": "v1",
  "published": "2020-03-12T14:54:31.000Z",
  "updated": "2020-03-12T14:54:31.000Z",
  "title": "On the phase change for perturbations of Hamiltonian systems (non-parametric case)",
  "authors": [
    "Anatoly Neishtadt",
    "Alexey Okunev"
  ],
  "comment": "16 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider perturbations of Hamiltonian systems with one degree of freedom such that the evolution leads to separatrix crossings. Such crossings are described by a parameter called the pseudo-phase. We prove a formula for the dependence of the pseudo-phase on the initial conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-12T14:54:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C29"
    ],
    "keywords": [
      "hamiltonian systems",
      "non-parametric case",
      "phase change",
      "perturbations",
      "separatrix crossings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}