{
  "annotation_id": "2e7414cf-6e5a-4050-9f45-01a9b6f212cc",
  "date_created": "2026-03-02T18:00:42.676000Z",
  "date_modified": "2026-03-02T18:00:42.676000Z",
  "file_hash": "00717d3ef3f9d2b0883a0139b3d4b4c1581fb6fb6982504a228a832677578c39",
  "private": false,
  "record": {
    "abstract": "Long-term stability studies of nonlinear Hamiltonian systems require\nsymplectic integration algorithms which are both fast and accurate. In this\npaper, we study a symplectic integration method wherein the symplectic map\nrepresenting the Hamiltonian system is refactorized using polynomial symplectic\nmaps. This method is analyzed in detail for the three degree of freedom case.\nWe obtain explicit formulas for the action of the constituent polynomial maps\non phase space variables.",
    "arxiv_id": "physics/0212098",
    "authors": [
      "Govindan Rangarajan"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.acc-ph"
    ],
    "title": "Polynomial map symplectic algorithm",
    "url": "https://arxiv.org/abs/physics/0212098"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7e9a972f-547e-4f70-bf20-7f21e6c6a016",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}