{
  "annotation_id": "d683b9ba-55d1-4101-b15b-e246dff794e2",
  "date_created": "2026-03-02T18:00:53.556000Z",
  "date_modified": "2026-03-02T18:00:53.556000Z",
  "file_hash": "c3c0943061e7323c89ae850ed87eb72f502195730554d5afd66f978e90c3d90a",
  "private": false,
  "record": {
    "abstract": "The statistics of transitions between the metastable states of a periodically\ndriven bistable Brownian oscillator are investigated on the basis of a\ntwo-state description by means of a master equation with time-dependent rates.\nThe results are compared with extensive numerical simulations of the Langevin\nequation for a sinusoidal driving force. Very good agreement is achieved both\nfor the counting statistics of the number of transitions and the residence time\ndistribution of the process in either state. The counting statistics\ncorroborate in a consistent way the interpretation of stochastic resonance as a\nsynchronisation phenomenon for a properly defined generalized Rice phase.",
    "arxiv_id": "physics/0409065",
    "authors": [
      "Peter Talkner",
      "Lukasz Machura",
      "Michael Schindler",
      "Peter Hanggi",
      "Jerzy Luczka"
    ],
    "categories": [
      "physics.data-an",
      "math.ST",
      "stat.TH"
    ],
    "doi": "10.1088/1367-2630/7/1/014",
    "journal_ref": "New Journal of Physics 7 (2005) 14",
    "title": "Statistics of transition times, phase diffusion and synchronization in   periodically driven bistable systems",
    "url": "https://arxiv.org/abs/physics/0409065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1bd1c476-0ea0-4f03-9102-6e3953353aa8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}