{
  "annotation_id": "cd9b419d-29d7-490f-a516-9bd5c7397749",
  "date_created": "2026-03-02T18:02:50.838000Z",
  "date_modified": "2026-03-02T18:02:50.838000Z",
  "file_hash": "456598a12ae369b04da6d0de7f398234443d0db6cf088a713e938fc5dad643af",
  "private": false,
  "record": {
    "abstract": "We develop a method, based on Darboux\u0027 and Liouville\u0027s works, to find first\nintegrals and/or invariant manifolds for a physically relevant class of\ndynamical systems, without making any assumption on these elements\u0027 form. We\napply it to three dynamical systems: Lotka--Volterra, Lorenz and Rikitake.",
    "arxiv_id": "solv-int/9608007",
    "authors": [
      "Simon Labrunie",
      "Robert Conte"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.531772",
    "title": "A geometrical method towards first integrals for dynamical systems",
    "url": "https://arxiv.org/abs/solv-int/9608007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c6b0a20-b70c-49f5-9699-0c384e417c77",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}