{
  "annotation_id": "ce3510cf-2073-43b2-92dd-f56c37f92439",
  "date_created": "2026-03-02T18:01:00.911000Z",
  "date_modified": "2026-03-02T18:01:00.911000Z",
  "file_hash": "04495d0b50c3ff0d076414a762bb961d6366e5ad0160565f2dfa45e89029920e",
  "private": false,
  "record": {
    "abstract": "An approach is presented for coupled chaotic systems, estimating an inferior\nbound value for the absolute phase difference, in order to say that phase\nsynchronization is present. This approach shows that synchronicity in phase\nimplies synchronicity in the time of events. This is used to derive an equation\nto detect phase synchronization, based on the absolute difference between the\ntime of these events. A phase based on the vector field is also introduced. It\ncan be used to calculate the frequency of attractors with non-coherent phase\ndynamics.",
    "arxiv_id": "physics/0507090",
    "authors": [
      "M. S. Baptista",
      "T. Pereira",
      "J. Kurths"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "journal_ref": "Physica D 216, 260 (2006)",
    "title": "Inferior Bounds for Phase Synchronization",
    "url": "https://arxiv.org/abs/physics/0507090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e6ef39d-62d8-4a1d-be24-758d3db147e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}