{
  "annotation_id": "494cf22a-ec90-4518-bf4c-ea9957b332c4",
  "date_created": "2026-03-02T18:00:32.657000Z",
  "date_modified": "2026-03-02T18:00:32.657000Z",
  "file_hash": "469f7faedb31abd3bd6ae10c09300488c1f0816e4d511aaa3e27bab23017a4f9",
  "private": false,
  "record": {
    "abstract": "We investigate parametric autoresonance: a persisting phase locking which\noccurs when the driving frequency of a parametrically excited nonlinear\noscillator slowly varies with time. In this regime, the resonant excitation is\ncontinuous and unarrested by the oscillator nonlinearity. The system has three\ncharacteristic time scales, the fastest one corresponding to the natural\nfrequency of the oscillator. We perform averaging over the fastest time scale\nand analyze the reduced set of equations analytically and numerically.\nAnalytical results are obtained by exploiting the scale separation between the\ntwo remaining time scales which enables one to use the adiabatic invariant of\nthe perturbed nonlinear motion.",
    "arxiv_id": "physics/0101100",
    "authors": [
      "Evgeniy Khain",
      "Baruch Meerson"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevE.64.036619",
    "title": "Parametric autoresonance",
    "url": "https://arxiv.org/abs/physics/0101100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9ff2eb5a-8bd8-4515-b0f4-a4b8f4325591",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}