{
  "annotation_id": "9ca4878a-3409-4432-944e-c8e291b83d76",
  "date_created": "2026-03-02T18:00:39.486000Z",
  "date_modified": "2026-03-02T18:00:39.486000Z",
  "file_hash": "d3e1045d6639916d544d7c7bef458910c4a508be7ec30c35888be20a8f7d0a1e",
  "private": false,
  "record": {
    "abstract": "We consider some reduction from nonlinear Vlasov-Maxwell equation to rms/rate\nequations for second moments related quantities. Our analysis is based on\nvariational wavelet approach to rational (in dynamical variables)\napproximation. It allows to control contribution from each scale of underlying\nmultiscales and represent solutions via multiscale exact nonlinear eigenmodes\n(waveletons) expansions. Our approach provides the possibility to work with\nwell-localized bases in phase space and best convergence properties of the\ncorresponding expansions without perturbations or/and linearization procedures.",
    "arxiv_id": "physics/0206052",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.comp-ph",
      "physics.plasm-ph"
    ],
    "title": "RMS/Rate Dynamics via Localized Modes",
    "url": "https://arxiv.org/abs/physics/0206052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc3809b5-65d9-4d24-b98b-5187b1d51da3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}