{
  "annotation_id": "6461e886-88f8-4460-b34d-514405c6bd1a",
  "date_created": "2026-03-02T18:02:50.970000Z",
  "date_modified": "2026-03-02T18:02:50.970000Z",
  "file_hash": "365b7be8bfe2706c2672500995b1d5e06e1e6597797c01bfdc1e5ec7e11c68a0",
  "private": false,
  "record": {
    "abstract": "For the Stackel family of the integrable systems a non-canonical\ntransformation of the time variable is considered. This transformation may be\nassociated to the ambiguity of the Abel map on the corresponding hyperelliptic\ncurve. For some Stackel\u0027s systems with two degrees of freedom the 2x2 Lax\nrepresentations and the dynamical r-matrix algebras are constructed. As an\nexamples the Henon-Heiles systems, integrable Holt potentials and the\nintegrable deformations of the Kepler problem are discussed in detail.",
    "arxiv_id": "solv-int/9812001",
    "authors": [
      "Andrey Tsiganov"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/32/45/311",
    "journal_ref": "J. Phys. A, Math. Gen. 32, No.45, 7965-7982, (1999)",
    "title": "Duality between integrable Stackel systems",
    "url": "https://arxiv.org/abs/solv-int/9812001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "949f73f0-a295-4c0e-850b-ad9b246d62e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}