dorsal/arxiv
View SchemaTurbulence near cyclic fold bifurcations in birhythmic media
| Authors | Dorjsuren Battogtokh, John J. Tyson |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0402040 |
| URL | https://arxiv.org/abs/q-bio/0402040 |
| DOI | 10.1103/PhysRevE.70.026212 |
Abstract
We show that at the onset of a cyclic fold bifurcation, a birhythmic medium composed of glycolytic oscillators displays turbulent dynamics. By computing the largest Lyapunov exponent, the spatial correlation function, and the average transient lifetime, we classify it as a weak turbulence with transient nature. Virtual heterogeneities generating unstable fast oscillations are the mechanism of the transient turbulence. In the presence of wavenumber instability, unstable oscillations can be reinjected leading to stationary turbulence. We also find similar turbulence in a cell cycle model. These findings suggest that weak turbulence may be universal in biochemical birhythmic media exhibiting cyclic fold bifurcations.
{
"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
}