{
  "annotation_id": "81cde4d1-5ec1-4cfa-8616-5f0b886b4ccb",
  "date_created": "2026-03-02T18:00:28.659000Z",
  "date_modified": "2026-03-02T18:00:28.659000Z",
  "file_hash": "99521e6f682b6248979851fdb3b41c1cd4ed78de14743a605b655b81940a5e08",
  "private": false,
  "record": {
    "abstract": "We performed a comprehensive study of the spike autosolitons: self-sustained\nsolitary inhomogeneous states, in the classical reaction-diffusion system ---\nthe Gray-Scott model. We developed singular perturbation techniques based on\nthe strong separation of the length scales to construct asymptotically the\nsolutions in the form of a one-dimensional static autosolitons,\nhigher-dimensional radially-symmetric static autosolitons, and two types of\ntraveling autosolitons. We studied the stability of the static autosolitons in\none and three dimensions and analyzed the properties of the static and the\ntraveling autosolitons.",
    "arxiv_id": "patt-sol/9804001",
    "authors": [
      "C. B. Muratov",
      "V. V. Osipov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Spike autosolitons in the Gray-Scott model",
    "url": "https://arxiv.org/abs/patt-sol/9804001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91944dd8-a9f0-4090-b0a3-e7ad12edc4c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}