{
  "annotation_id": "647e7537-8e1a-4edb-b8e1-3cdaf2db2918",
  "date_created": "2026-03-02T18:00:29.390000Z",
  "date_modified": "2026-03-02T18:00:29.390000Z",
  "file_hash": "48c4cb51bdc70855ec566706bbc0584c67aacde674d9d2f9ddc085094a471442",
  "private": false,
  "record": {
    "abstract": "We present a new set of kinematic equations for front motion in bistable\nmedia. The equations extend earlier kinematic approaches by coupling the front\ncurvature with the order parameter associated with a parity breaking front\nbifurcation. In addition to naturally describing the core region of rotating\nspiral waves the equations can be be used to study the nucleation of\nspiral-wave pairs along uniformly propagating fronts. The analysis of\nspiral-wave nucleation reduces to the simpler problem of droplet, or domain,\nnucleation in one space dimension.",
    "arxiv_id": "patt-sol/9709004",
    "authors": [
      "Aric Hagberg",
      "Ehud Meron"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0378-4371(97)00439-1",
    "title": "Kinematic Equations for Front Motion and Spiral-Wave Nucleation",
    "url": "https://arxiv.org/abs/patt-sol/9709004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eaaeb3fe-11c4-445c-8839-a04e5ec4166f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}