{
  "annotation_id": "50a0ea7f-c1d1-4d44-ae14-a2734cd3e160",
  "date_created": "2026-03-02T18:00:29.417000Z",
  "date_modified": "2026-03-02T18:00:29.417000Z",
  "file_hash": "bf929814543a85dafcfd8e14368cdf7cf5e0a86a6ea822742ef52630a3dc15ea",
  "private": false,
  "record": {
    "abstract": "A theoretical model for studying pattern formation in electroconvection is\nproposed in the form of a modified Swift-Hohenberg equation. A localized state\nis found in two dimension, in agreement with the experimentally observed\n``worm\" state. The corresponding one dimensional model is also studied, and a\nnovel stationary localized state due to nonadiabatic effect is found. The\nexistence of the 1D localized state is shown to be responsible for the\nformation of the two dimensional ``worm\" state in our model.",
    "arxiv_id": "patt-sol/9701001",
    "authors": [
      "Yuhai Tu"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.56.R3765",
    "title": "Worm Structure in Modified Swift-Hohenberg Equation for   Electroconvection",
    "url": "https://arxiv.org/abs/patt-sol/9701001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6740825-a1e0-4be4-8385-26d1a0399af2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}