{
  "annotation_id": "d567e709-ce96-4a69-b543-6d9fedbe2474",
  "date_created": "2026-03-02T18:01:30.958000Z",
  "date_modified": "2026-03-02T18:01:30.958000Z",
  "file_hash": "bc2996adb09c247f5c9d920eed21dec2302f80eaa1f946777ccfecde2554ad0a",
  "private": false,
  "record": {
    "abstract": "The effect of small-amplitude noise on excitable systems with large\ntime-scale separation is analyzed. It is found that small random perturbations\nof the fast excitatory variable result in the onset of a quasi-deterministic\nlimit cycle behavior, absent without noise. The limit cycle is established at a\ncritical value of the amplitude of the noise, and its period is nontrivially\ndetermined by the relationship between the noise amplitude and the time scale\nratio. It is argued that this effect might provide a mechanism by which the\nfunction of biological systems operating in noisy environments can be robustly\ncontrolled by the level of the noise.",
    "arxiv_id": "q-bio/0312013",
    "authors": [
      "Cyrill B. Muratov",
      "Eric Vanden-Eijnden",
      "Weinan E"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.NC"
    ],
    "title": "Noise-driven transition to quasi-deterministic limit cycle dynamics in   excitable systems",
    "url": "https://arxiv.org/abs/q-bio/0312013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22f1c914-fc60-4f40-9b0e-d7eaa7ca61d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}