{
  "annotation_id": "e71e6380-b264-4782-9795-932492233eb9",
  "date_created": "2026-03-02T18:00:29.446000Z",
  "date_modified": "2026-03-02T18:00:29.446000Z",
  "file_hash": "0aa0869344dff52fe742bdeea205fb5e16dc87cac685793c4dbc78519f1a4864",
  "private": false,
  "record": {
    "abstract": "We study a mechanism of pulse propagation failure in excitable media where\nstable traveling pulse solutions appear via a subcritical pitchfork\nbifurcation. The bifurcation plays a key role in that mechanism. Small\nperturbations, externally applied or from internal instabilities, may cause\npulse propagation failure (wave breakup) provided the system is close enough to\nthe bifurcation point. We derive relations showing how the pitchfork\nbifurcation is unfolded by weak curvature or advective field perturbations and\nuse them to demonstrate wave breakup. We suggest that the recent observations\nof wave breakup in the Belousov-Zhabotinsky reaction induced either by an\nelectric field or a transverse instability are manifestations of this\nmechanism.",
    "arxiv_id": "patt-sol/9710002",
    "authors": [
      "Aric Hagberg",
      "Ehud Meron"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.57.299",
    "title": "Propagation Failure in Excitable Media",
    "url": "https://arxiv.org/abs/patt-sol/9710002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "848aefd6-415e-41a0-91b1-9d819f37b9b2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}