{
  "annotation_id": "d7906793-d9fe-42dc-b6dc-167990dded9a",
  "date_created": "2026-03-02T18:01:31.418000Z",
  "date_modified": "2026-03-02T18:01:31.418000Z",
  "file_hash": "20668b459fd79400fc33652118070896e16a27f2d745381f57704a19308a5417",
  "private": false,
  "record": {
    "abstract": "We show that at the onset of a cyclic fold bifurcation, a birhythmic medium\ncomposed of glycolytic oscillators displays turbulent dynamics. By computing\nthe largest Lyapunov exponent, the spatial correlation function, and the\naverage transient lifetime, we classify it as a weak turbulence with transient\nnature. Virtual heterogeneities generating unstable fast oscillations are the\nmechanism of the transient turbulence. In the presence of wavenumber\ninstability, unstable oscillations can be reinjected leading to stationary\nturbulence. We also find similar turbulence in a cell cycle model. These\nfindings suggest that weak turbulence may be universal in biochemical\nbirhythmic media exhibiting cyclic fold bifurcations.",
    "arxiv_id": "q-bio/0402040",
    "authors": [
      "Dorjsuren Battogtokh",
      "John J. Tyson"
    ],
    "categories": [
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevE.70.026212",
    "title": "Turbulence near cyclic fold bifurcations in birhythmic media",
    "url": "https://arxiv.org/abs/q-bio/0402040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5871f9c2-3af0-4ae6-a34f-f34d502fb44c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}