{
  "annotation_id": "d227321c-d1fe-4ef5-90b6-83ffd4108246",
  "date_created": "2026-03-02T18:00:28.612000Z",
  "date_modified": "2026-03-02T18:00:28.612000Z",
  "file_hash": "a5c5406376018c1a49b87d5deecb2658ebf16c83af7eeede708d9e161daddc16",
  "private": false,
  "record": {
    "abstract": "A transversally driven isotropic ferromagnet being under the influence of a\nstatic external and an uniaxial internal anisotropy field is studied. We\nconsider the dissipative Landau-Lifshitz equation as the fundamental equation\nof motion and treat it in $1+1$~dimensions. The stability of the spatially\nhomogeneous magnetizations against inhomogeneous perturbations is analyzed.\nSubsequently the dynamics above threshold is described via amplitude equations\nand the dependence of their coefficients on the physical parameters of the\nsystem is determined explicitly. We find soft- and hard-mode instabilities,\ntransitions between sub- and supercritical behaviour, various bifurcations of\nhigher codimension, and present a series of explicit bifurcation diagrams. The\nanalysis of the codimension-2 point where the soft- and hard-mode instabilities\ncoincide leads to a system of two coupled Ginzburg-Landau equations.",
    "arxiv_id": "patt-sol/9501002",
    "authors": [
      "F. Matth\u00e4us",
      "H. Sauermann"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1007/BF02769989",
    "title": "Amplitude equations near pattern forming instabilities for strongly   driven ferromagnets",
    "url": "https://arxiv.org/abs/patt-sol/9501002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d85c06f-101e-4a2a-ae15-8814224e0c0b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}