{
  "annotation_id": "ee05e0d8-a2cb-4bb5-9545-8589c981b168",
  "date_created": "2026-03-02T18:00:28.661000Z",
  "date_modified": "2026-03-02T18:00:28.661000Z",
  "file_hash": "21897138092f7a88fd311c98ca90dbd89e239f97efe3e71d6a3f43e9571ff02d",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of scroll vortices in excitable reaction-diffusion\nsystems analytically and numerically. We demonstrate that intrinsic\nthree-dimensional instability of a straight scroll leads to the formation of\nhelicoidal structures. This behavior originates from the competition between\nthe scroll curvature and unstable core dynamics. We show that the obtained\ninstability persists even beyond the meander core instability of\ntwo-dimensional spiral wave.",
    "arxiv_id": "patt-sol/9809005",
    "authors": [
      "Igor Aranson",
      "Igor Mitkov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.58.4556",
    "journal_ref": "Physical Review E, V. 58, No. 4, 4556-4559 (1998)",
    "title": "Helicoidal instability of a scroll vortex in three-dimensional   reaction-diffusion systems",
    "url": "https://arxiv.org/abs/patt-sol/9809005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dfd7f561-02b6-4fe2-966e-0a917b05eb31",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}