{
  "annotation_id": "573d93b3-49f0-4a6e-947e-aed968a608e0",
  "date_created": "2026-03-02T18:00:35.977000Z",
  "date_modified": "2026-03-02T18:00:35.977000Z",
  "file_hash": "7c42d91e86ae52968def359c01e4953b64bcc018d787ed6bcd5c7392f82ce2c1",
  "private": false,
  "record": {
    "abstract": "The consideration of transverse dynamics of relativistic space-charge\ndominated beams and halo growth due to bunch oscillations is based on\nvariational approach to rational (in dynamical variables) approximation for rms\nenvelope equations. It allows to control contribution from each scale of\nunderlying multiscales and represent solutions via exact nonlinear eigenmodes\nexpansions. Our approach is based on methods provided possibility to work with\nwell-localized bases in phase space and good convergence properties of the\ncorresponding expansions.",
    "arxiv_id": "physics/0106009",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph",
      "quant-ph"
    ],
    "title": "Nonlinear Dynamics of High-Brightness Beams",
    "url": "https://arxiv.org/abs/physics/0106009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "427cdead-6122-43d4-8376-15ba76dda10e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}