{
  "annotation_id": "d6138b60-7940-45bc-9f87-0890e39319f9",
  "date_created": "2026-03-02T18:00:29.279000Z",
  "date_modified": "2026-03-02T18:00:29.279000Z",
  "file_hash": "daa8eddd3a6a980df0cd222348e63a82776303e3dd8754e35cea63ca6b2b484d",
  "private": false,
  "record": {
    "abstract": "The mean field Kuramoto model describing the synchronization of a population\nof phase oscillators with a bimodal frequency distribution is analyzed (by the\nmethod of multiple scales) near regions in its phase diagram corresponding to\nsynchronization to phases with a time periodic order parameter. The richest\nbehavior is found near the tricritical point were the incoherent, stationarily\nsynchronized, ``traveling wave\u0027\u0027 and ``standing wave\u0027\u0027 phases coexist. The\nbehavior near the tricritical point can be extrapolated to the rest of the\nphase diagram. Direct Brownian simulation of the model confirms our findings.",
    "arxiv_id": "patt-sol/9706005",
    "authors": [
      "L. L. Bonilla",
      "C. J. Perez Vicente",
      "R. Spigler"
    ],
    "categories": [
      "patt-sol",
      "cond-mat.dis-nn",
      "nlin.PS"
    ],
    "doi": "10.1016/S0167-2789(97)00187-5",
    "title": "Time-periodic phases in populations of nonlinearly coupled oscillators   with bimodal frequency distributions",
    "url": "https://arxiv.org/abs/patt-sol/9706005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9f01eebe-74c8-4c7e-8084-0546c7a388ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}