{
  "annotation_id": "e48e97f4-59a5-4bed-ab90-e00574b330e1",
  "date_created": "2026-03-02T18:00:28.662000Z",
  "date_modified": "2026-03-02T18:00:28.662000Z",
  "file_hash": "b1deb752d9fd87f757b334dc5ccbb213d8e101566d168f6e478ef8c4d6d58ff6",
  "private": false,
  "record": {
    "abstract": "We discovered a new type of spiral wave solutions in reaction-diffusion\nsystems --- spike spiral wave, which significantly differs from spiral waves\nobserved in FitzHugh-Nagumo-type models. We present an asymptotic theory of\nthese waves in Gray-Scott model. We derive the kinematic relations describing\nthe shape of this spiral and find the dependence of its main parameters on the\ncontrol parameters. The theory does not rely on the specific features of\nGray-Scott model and thus is expected to be applicable to a broad range of\nreaction-diffusion systems.",
    "arxiv_id": "patt-sol/9808004",
    "authors": [
      "C. B. Muratov",
      "V. V. Osipov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.60.242",
    "journal_ref": "Phys Rev. E 60, 242 (1999).",
    "title": "Theory of Spike Spiral Waves in a Reaction-Diffusion System",
    "url": "https://arxiv.org/abs/patt-sol/9808004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "408d8c4d-1e95-4be9-9776-df212ba6ae02",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}