{
  "annotation_id": "f79c3a01-69a5-4bab-b25c-67bcbe998190",
  "date_created": "2026-03-02T18:00:28.660000Z",
  "date_modified": "2026-03-02T18:00:28.660000Z",
  "file_hash": "2ec29e37d59b480071e2a842de25824b134d96b29c5c1e229c7bc542553461ff",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of waves in a system of diffusively coupled discrete\nnonlinear sources. We show that the system exhibits burst waves which are\nperiodic in a traveling-wave reference frame. We demonstrate that the burst\nwaves are pinned if the diffusive coupling is below a critical value. When the\ncoupling crosses the critical value the system undergoes a depinning\ninstability via a saddle-node bifurcation, and the wave begins to move. We\nobtain the universal scaling for the mean wave velocity just above threshold.",
    "arxiv_id": "patt-sol/9809002",
    "authors": [
      "Igor Mitkov",
      "Konstantin Kladko",
      "John E. Pearson"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.81.5453",
    "journal_ref": "Physical Review Letters, V. 81, No. 24, 5453-5456 (1998)",
    "title": "Tunable Pinning of Burst-Waves in Extended Systems with Discrete Sources",
    "url": "https://arxiv.org/abs/patt-sol/9809002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea813264-a3b9-4229-a5f1-3c5bf15d8fd0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}