{
  "annotation_id": "69569d68-ae01-435c-bb8c-7a831759d89c",
  "date_created": "2026-03-02T18:00:29.401000Z",
  "date_modified": "2026-03-02T18:00:29.401000Z",
  "file_hash": "686ff67ecda8b6e17aa5a1bc2246e321ec46471b9adaeb7638b903842b8dc569",
  "private": false,
  "record": {
    "abstract": "To describe the dynamics of a single peak of the Rosensweig instability a\nmodel is proposed which approximates the peak by a half-ellipsoid atop a layer\nof magnetic fluid. The resulting nonlinear equation for the height of the peak\nleads to the correct subcritical character of the bifurcation for static\ninduction. For a time-dependent induction the effects of inertia and damping\nare incorporated. The results of the model show qualitative agreement with the\nexperimental findings, as in the appearance of period doubling, trebling, and\nhigher multiples of the driving period. Furthermore a quantitative agreement is\nalso found for the parameter ranges of frequency and induction in which these\nphenomena occur.",
    "arxiv_id": "patt-sol/9910003",
    "authors": [
      "Adrian Lange",
      "Heinz Langer",
      "Andreas Engel"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0167-2789(00)00018-X",
    "journal_ref": "Physica D, 140 (2000) 294",
    "title": "Dynamics of a Single Peak of the Rosensweig Instability in a Magnetic   Fluid",
    "url": "https://arxiv.org/abs/patt-sol/9910003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5133f9a-ed7c-410b-9396-b2dd04caa44e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}