{
  "annotation_id": "79043902-0c54-4e5e-a4f3-ae213cee3bac",
  "date_created": "2026-03-02T18:00:35.975000Z",
  "date_modified": "2026-03-02T18:00:35.975000Z",
  "file_hash": "4cc1e66248549dcf9fa6353f444d1925ea46ca60e49b93a5a8e51099d4ef37a7",
  "private": false,
  "record": {
    "abstract": "We present the applications of methods from nonlinear local harmonic analysis\nin variational framework to calculations of nonlinear motions in\npolynomial/rational approximations (up to any order) of arbitrary n-pole\nfields. Our approach is based on the methods provided possibility to work with\ndynamical beam/particle localization in phase space, which gives representions\nvia exact nonlinear high-localized eigenmodes expansions and allows to control\ncontribution to motion from each scale of underlying multiscale structure.",
    "arxiv_id": "physics/0106010",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph",
      "quant-ph"
    ],
    "journal_ref": "Conf.Proc.C0106181:1790-1792,2001",
    "title": "Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions",
    "url": "https://arxiv.org/abs/physics/0106010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13cc2882-ed2b-45ae-a51f-2800e733e715",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}