{
  "annotation_id": "d1a027cd-9b42-4987-a5eb-41c23eca1f9a",
  "date_created": "2026-03-02T18:00:29.445000Z",
  "date_modified": "2026-03-02T18:00:29.445000Z",
  "file_hash": "c0032e7bd26d1325cb8109df8bf4083b9e3e1f499ee44c0b8f8482e5111e2c1c",
  "private": false,
  "record": {
    "abstract": "We consider a curved chain of nonlinear oscillators and show that the\ninterplay of curvature and nonlinearity leads to a symmetry breaking when an\nasymmetric stationary state becomes energetically more favorable than a\nsymmetric stationary state. We show that the energy of localized states\ndecreases with increasing curvature, i.e. bending is a trap for nonlinear\nexcitations. A violation of the Vakhitov-Kolokolov stability criterium is found\nin the case where the instability is due to the softening of the Peierls\ninternal mode.",
    "arxiv_id": "patt-sol/9907003",
    "authors": [
      "Yu. B. Gaididei",
      "S. F. Mingaleev",
      "P. L. Christiansen"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.62.R53",
    "journal_ref": "Phys. Rev. E 62, R53-R56 (2000).",
    "title": "Curvature-induced symmetry breaking in nonlinear Schrodinger models",
    "url": "https://arxiv.org/abs/patt-sol/9907003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9e7a6378-ac12-4cfe-94e9-7a3e693bbf78",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}