{
  "annotation_id": "b10ae141-7c77-4c43-8530-3d65abeac07c",
  "date_created": "2026-03-02T18:00:39.486000Z",
  "date_modified": "2026-03-02T18:00:39.486000Z",
  "file_hash": "e0f41661ee9ccc23ff68ed9577d2e796393da7ca4e03db4b61ffaed59f41bef5",
  "private": false,
  "record": {
    "abstract": "We consider modeling for strong-strong beam-beam interactions beyond\npreceding linearized/perturbative methods such as soft gaussian approximation\nor FMM (HFMM) etc. In our approach discrete coherent modes, discovered before,\nand possible incoherent oscillations appear as a result of\nmultiresolution/multiscale fast convergent decomposition in the bases of\nhigh-localized exact nonlinear modes represented by wavelets or wavelet packets\nfunctions. The constructed solutions represent the full multiscale spectrum in\nall internal hidden scales from slow to fast oscillating eigenmodes. Underlying\nvariational method provides algebraical control of the spectrum.",
    "arxiv_id": "physics/0206053",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.comp-ph",
      "physics.plasm-ph"
    ],
    "title": "Nonlinear Localized Coherent Spectrum of Beam-Beam Interactions",
    "url": "https://arxiv.org/abs/physics/0206053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e3a3cb2-d59d-471f-af8c-354cabe8ad52",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}