{
  "annotation_id": "7d77ec90-2a31-4125-8c41-4444d527d989",
  "date_created": "2026-03-02T18:00:28.861000Z",
  "date_modified": "2026-03-02T18:00:28.861000Z",
  "file_hash": "095295fb6b9afad87a1edcefa6c7bb7f2e611e5e6b78464596ce6201f47e2e41",
  "private": false,
  "record": {
    "abstract": "A proper formulation in the perturbative renormalization group method is\npresented to deduce amplitude equations. The formulation makes it possible not\nonly avoiding a serious difficulty in the previous reduction to amplitude\nequations by eliminating all of the secular terms but also consistent\nderivation of higher-order correction to amplitude equations.",
    "arxiv_id": "patt-sol/9703004",
    "authors": [
      "Ken-ichi Matsuba",
      "Kazuhiro Nozaki"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.56.R4926",
    "title": "Derivation of Amplitude Equations by Renormalization Group Method",
    "url": "https://arxiv.org/abs/patt-sol/9703004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b258ae0-46f1-49c5-87a1-7c947efc6dd5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}