{
  "id": "2205.10659",
  "version": "v1",
  "published": "2022-05-21T19:19:18.000Z",
  "updated": "2022-05-21T19:19:18.000Z",
  "title": "Realization of bifurcations of Liouville foliations for integrable billiards in non-convex domains",
  "authors": [
    "Viktor Moskvin"
  ],
  "comment": "in Russian",
  "categories": [
    "math.DS"
  ],
  "abstract": "A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflection from a boundary. For billiards in non-convex areas bounded by segments of confocal quadrics are studied. The topology of 3-dimmensional bifurcations of Liouville foliations is described.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-21T19:19:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "liouville foliations",
      "non-convex domains",
      "integrable billiards",
      "bifurcations",
      "realization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}