{
  "annotation_id": "bf281766-aa56-440d-a690-721dfcebb2ad",
  "date_created": "2026-03-02T18:01:07.360000Z",
  "date_modified": "2026-03-02T18:01:07.360000Z",
  "file_hash": "d839724b876b1761bbf24e58b29b59a2af8b782117674bd17db66bdfd4637dda",
  "private": false,
  "record": {
    "abstract": "Coupled nonlinear systems under certain conditions exhibit phase\nsynchronization, which may change for different frequency bands or with\npresence of additive system noise. In both cases, Fourier filtering is\ntraditionally used to preprocess data. We investigate to what extent the phase\nsynchronization of two coupled R\\\"{o}ssler oscillators depends on (1) the\nbroadness of their power spectrum, (2) the width of the band-pass filter, and\n(3) the level of added noise. We find that for identical coupling strengths,\noscillators with broader power spectra exhibit weaker synchronization. Further,\nwe find that within a broad band width range, band-pass filtering reduces the\neffect of noise but can lead to a spurious increase in the degree of\nsynchronization with narrowing band width, even when the coupling between the\ntwo oscillators remains the same.",
    "arxiv_id": "physics/0604039",
    "authors": [
      "Limei Xu",
      "Zhi Chen",
      "Kun Hu",
      "H. Eugene Stanley",
      "Plamen Ch. Ivanov"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevE.73.065201",
    "journal_ref": "Phys. Rev. E 73, 065201(R) (2006)",
    "title": "Spurious detection of phase synchronization in coupled nonlinear   oscillators",
    "url": "https://arxiv.org/abs/physics/0604039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a0ef0f37-3fa1-484e-862a-a0c2b39eb72c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}