{
  "annotation_id": "c74badcc-cadf-4c31-8b33-891e985ba361",
  "date_created": "2026-03-02T18:00:28.845000Z",
  "date_modified": "2026-03-02T18:00:28.845000Z",
  "file_hash": "3c267301a17166887b8bd3abbe9a0fa79f2d2a9f4274283e2035fc78f8adfb0b",
  "private": false,
  "record": {
    "abstract": "If a magnetic field normal to the surface of a magnetic fluid is increased\nbeyond a critical value a spontaneous deformation of the surface arises (normal\nfield instability). The instability is subcritical and leads to peaks of a\ncharacteristic shape. We investigate the neighborhood of this instability\nexperimentally under the influence of a temporal modulation of the magnetic\nfield. We use a small vessel, where only one peak arises. The modulation can\neither be stabilizing or destabilizing, depending on the frequency and\namplitude. We observe a cascade of odd-numbered response-periods up to period\n11, and also a domain of even-numbered periods. We propose a minimal model\ninvolving a cutoff-condition which captures the essence of the experimental\nobservations.\n  PACS: 47.20.-k, 47.20.Ky, 75.50.Mm\n  Keywords: magnetic fluid; nonlinear oscillator; subharmonic response; surface\ninstability;",
    "arxiv_id": "patt-sol/9703003",
    "authors": [
      "Thomas Mahr",
      "Ingo Rehberg"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0167-2789(97)80019-X",
    "title": "Nonlinear Dynamics of a Single Ferrofluid-Peak in an Oscillating   Magnetic Field",
    "url": "https://arxiv.org/abs/patt-sol/9703003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0231bc66-f750-404b-9a13-e89329a2cbef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}