{
  "annotation_id": "81a40e9c-f8c7-4089-81c5-68dc0105421a",
  "date_created": "2026-03-02T18:00:35.979000Z",
  "date_modified": "2026-03-02T18:00:35.979000Z",
  "file_hash": "e7ae4a1e628352f584a7299af17ab0dafe05e4fe38b670748802397acbdca15f",
  "private": false,
  "record": {
    "abstract": "We present the applications of nonlinear local harmonic analysis methods to\nthe modelling of beam-beam interaction. Our approach is based on methods\nprovided the possibility to work with dynamical beam localization in phase\nspace. The consideration of Fokker-Planck or Vlasov-Maxwell models is based on\na number of anzatzes, which reduce initial problems to a number of dynamical\nsystems (with constraints) and on variational-wavelet approach to\npolynomial/rational approximations for reduced nonlinear dynamics. We calculate\ncontribution to full dynamics (partition function) from all underlying\nsubscales via nonlinear eigenmodes decomposition.",
    "arxiv_id": "physics/0106006",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph",
      "quant-ph"
    ],
    "title": "Modelling of Beam-Beam Effects in Multiscales",
    "url": "https://arxiv.org/abs/physics/0106006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d93d7483-6613-41c1-a5da-4d07d49ee4ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}