{
  "annotation_id": "9c90c107-b049-4c92-87b7-3641f0c88042",
  "date_created": "2026-03-02T18:00:29.383000Z",
  "date_modified": "2026-03-02T18:00:29.383000Z",
  "file_hash": "04b82b8bec6b1b39c5bfe93486b9d0bbbf7ee88eda666998b43cf2fc5b155344",
  "private": false,
  "record": {
    "abstract": "We consider the development of instabilities of homogeneous stationary\nsolutions of discrete time lattice maps. Under some generic hypothesis we\nderive an amplitude equation which is the space-time continuous Ginzburg-Landau\nequation. Using dynamical renormalization group methods we control the accuracy\nof this approximation in a large ball of its basin of attraction.",
    "arxiv_id": "patt-sol/9705011",
    "authors": [
      "P. Collet"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1023/A:1023212925677",
    "title": "Amplitude Equation for Lattice Maps, a Renormalization Group Approach",
    "url": "https://arxiv.org/abs/patt-sol/9705011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dee1cc46-76b1-44f8-ae68-026faa7fda6c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}