{
  "annotation_id": "d22296ba-c0c2-462f-a088-43c4e1e79732",
  "date_created": "2026-03-02T18:00:29.383000Z",
  "date_modified": "2026-03-02T18:00:29.383000Z",
  "file_hash": "83ba0cb782c6756632786f1ad8668d30fc6a86672bd2653cb6e88c8d0f351d3d",
  "private": false,
  "record": {
    "abstract": "The renormalization group (RG) method is extended for global asymptotic\nanalysis of discrete systems. We show that the RG equation in the discretized\nform leads to difference equations corresponding to the Stuart-Landau or\nGinzburg-Landau equations. We propose a discretization scheme which leads to a\nfaithful discretization of the reduced dynamics of the original differential\nequations.",
    "arxiv_id": "patt-sol/9705003",
    "authors": [
      "T. Kunihiro",
      "J. Matsukidaira"
    ],
    "categories": [
      "patt-sol",
      "chao-dyn",
      "cond-mat",
      "hep-th",
      "nlin.CD",
      "nlin.PS",
      "nlin.SI",
      "solv-int"
    ],
    "doi": "10.1103/PhysRevE.57.4817",
    "title": "Dynamical Reduction of Discrete Systems Based on the Renormalization   Group Method",
    "url": "https://arxiv.org/abs/patt-sol/9705003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "50b67f64-ea0b-4fac-8ef5-f7d5773c90aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}