{
  "annotation_id": "1d6a4dfd-47ea-4e16-9295-054fb96d0c9e",
  "date_created": "2026-03-02T18:00:28.614000Z",
  "date_modified": "2026-03-02T18:00:28.614000Z",
  "file_hash": "d2bb09c5976064c65e705c5ae2b2799683fd195505b7ecb6ea83cf0eec1c7d28",
  "private": false,
  "record": {
    "abstract": "Linear global modes, which are time-harmonic solutions with vanishing\nboundary conditions, are analysed in the context of the complex Ginzburg-Landau\nequation with slowly varying coefficients in doubly infinite domains. The most\nunstable modes are shown to be characterized by the geometry of their Stokes\nline network: they are found to generically correspond to a configuration with\ntwo turning points issued from opposite sides of the real axis which are either\nmerged or connected by a common Stokes line. A region of local absolute\ninstability is also demonstrated to be a necessary condition for the existence\nof unstable global modes.",
    "arxiv_id": "patt-sol/9502008",
    "authors": [
      "Le S. Diz\u00e8s"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Global modes for the complex Ginzburg-Landau equation",
    "url": "https://arxiv.org/abs/patt-sol/9502008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "37c109fb-8da3-49a8-b699-c4591e7fbf67",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}