{
  "annotation_id": "c2a4be04-b8dc-49fa-af44-8b0e565df46c",
  "date_created": "2026-03-02T18:01:24.520000Z",
  "date_modified": "2026-03-02T18:01:24.520000Z",
  "file_hash": "d6519269445641fa307231c735f00fa0c4bf46a8265ca87012dada8fac23c4ce",
  "private": false,
  "record": {
    "abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part, assuming a sinusoidal field variation, we\nconsider the analytical treatment of the effects of insertion devices on beam\ndynamics. We investigate via wavelet approach a dynamical model which has\npolynomial nonlinearities and variable coefficients. We construct the\ncorresponding wavelet representation. As examples we consider wigglers and\nundulator magnets. We consider the further modification of our variational\napproach which may be applied in each scale.",
    "arxiv_id": "physics/9904041",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "title": "Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion   Devices on Beam Dynamics",
    "url": "https://arxiv.org/abs/physics/9904041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5075aac8-e1ea-4751-a3ef-739c8403a666",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}