{
  "annotation_id": "c59921ab-d6d2-4d85-849b-0f499f13e357",
  "date_created": "2026-03-02T18:00:28.849000Z",
  "date_modified": "2026-03-02T18:00:28.849000Z",
  "file_hash": "6268377ea180444c8500ce5733fc72b4dd076dc8b92f0ce9cf674e2683b9bc44",
  "private": false,
  "record": {
    "abstract": "An asymptotic equation of motion for the pattern interface in the\ndomain-forming reaction-diffusion systems is derived. The free boundary problem\nis reduced to the universal equation of non-local contour dynamics in two\ndimensions in the parameter region where a pattern is not far from the points\nof the transverse instabilities of its walls. The contour dynamics is studied\nnumerically for the reaction-diffusion system of the FitzHugh-Nagumo type. It\nis shown that in the asymptotic limit the transverse instability of the\nlocalized domains leads to their splitting and formation of the multidomain\npattern rather than fingering and formation of the labyrinthine pattern.",
    "arxiv_id": "patt-sol/9605008",
    "authors": [
      "C. B. Muratov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.54.3369",
    "journal_ref": "Phys. Rev. E 54, 3369 (1996).",
    "title": "Self-replication and splitting of domain patterns in reaction-diffusion   systems with fast inhibitor",
    "url": "https://arxiv.org/abs/patt-sol/9605008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "56509b7c-fdaf-475e-bbf6-1a5fe0b901f3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}