{
  "annotation_id": "48b2565c-58e9-495a-b6ce-6ef4ac926097",
  "date_created": "2026-03-02T18:02:50.573000Z",
  "date_modified": "2026-03-02T18:02:50.573000Z",
  "file_hash": "2d3dbb18df6c7c3b3f237f2a9f0d9e2404fd447352fd37edd4af791316468f49",
  "private": false,
  "record": {
    "abstract": "We propose a discrete form for an equation due to Gambier and which belongs\nto the class of the fifty second order equations that possess the Painleve\nproperty. In the continuous case, the solutions of the Gambier equation is\nobtained through a system of Riccati equations. The same holds true in the\ndiscrete case also. We use the singularity confinement criterion in order to\nstudy the integrability of this new mapping.",
    "arxiv_id": "solv-int/9510010",
    "authors": [
      "B. Grammaticos",
      "A. Ramani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0378-4371(95)00213-8",
    "title": "The Gambier Mapping",
    "url": "https://arxiv.org/abs/solv-int/9510010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89583d23-0a7b-4212-bc45-84b29be200d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}