{
  "annotation_id": "bef737b6-efa8-4037-9d82-9851e1477379",
  "date_created": "2026-03-02T18:01:14.148000Z",
  "date_modified": "2026-03-02T18:01:14.148000Z",
  "file_hash": "c116fd5946eacd3acf8bfd6b4529719d93f30ca7b985fa175066d95f2ca69cc8",
  "private": false,
  "record": {
    "abstract": "It is shown that a given non-autonomous system of two first-order ordinary\ndifferential equations can be expressed in Hamiltonian form. The derivation\npresented here allow us to obtain previously known results such as the infinite\nnumber of Hamiltonians in the autonomous case and the Helmholtz condition for\nthe existence of a Lagrangian.",
    "arxiv_id": "physics/0611018",
    "authors": [
      "G. F. Torres del Castillo",
      "I. Rubalcava Garcia"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "journal_ref": "Rev. Mex. Fis., 52 (2006) 429",
    "title": "Hamiltonians and Lagrangians of non-autonomous one-dimensional   mechanical systems",
    "url": "https://arxiv.org/abs/physics/0611018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de39a0c2-227b-4101-818c-0b666cf93e7f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}