{
  "annotation_id": "606abbd1-460e-4d8f-8478-36e2fb2ad961",
  "date_created": "2026-03-02T18:01:00.753000Z",
  "date_modified": "2026-03-02T18:01:00.753000Z",
  "file_hash": "bef1a07fff3307bae8961d0ef18ec2def72085202e13476c99ebe51c17daf331",
  "private": false,
  "record": {
    "abstract": "We demonstrate in numerical experiments that estimators of strength and\ndirectionality of coupling between oscillators based on modeling of their phase\ndynamics [D.A. Smirnov and B.P. Bezruchko, Phys. Rev. E 68, 046209 (2003)] are\nwidely applicable. Namely, although the expressions for the estimators and\ntheir confidence bands are derived for linear uncoupled oscillators under the\ninfluence of independent sources of Gaussian white noise, they turn out to\nallow reliable characterization of coupling from relatively short time series\nfor different properties of noise, significant phase nonlinearity of the\noscillators, and non-vanishing coupling between them. We apply the estimators\nto analyze a two-channel human intracranial epileptic electroencephalogram\n(EEG) recording with the purpose of epileptic focus localization.",
    "arxiv_id": "physics/0506117",
    "authors": [
      "D. A. Smirnov",
      "M. B. Bodrov",
      "J. L. Perez Velazquez",
      "R. A. Wennberg",
      "B. P. Bezruchko"
    ],
    "categories": [
      "physics.data-an",
      "physics.med-ph"
    ],
    "doi": "10.1063/1.1938487",
    "title": "Estimation of coupling between oscillators from short time series via   phase dynamics modeling: limitations and application to EEG data",
    "url": "https://arxiv.org/abs/physics/0506117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c549b9d6-5d24-4e70-b929-99437243210e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}