{
  "annotation_id": "d2a5acd6-41ce-4f83-b894-424719db7483",
  "date_created": "2026-03-02T18:00:32.108000Z",
  "date_modified": "2026-03-02T18:00:32.108000Z",
  "file_hash": "85e6eecc7ed9d5b75e25865265ce255efebbb04318f4bddf25368f22804524d6",
  "private": false,
  "record": {
    "abstract": "We present the applications of variation -- wavelet analysis to\npolynomial/rational approximations for orbital motion in transverse plane for a\nsingle particle in a circular magnetic lattice in case when we take into\naccount multipolar expansion up to an arbitrary finite number and additional\nkick terms. We reduce initial dynamical problem to the finite number (equal to\nthe number of n-poles) of standard algebraical problems. We have the solution\nas a multiresolution (multiscales) expansion in the base of compactly supported\nwavelet basis.",
    "arxiv_id": "physics/0008045",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.comp-ph"
    ],
    "title": "Multiresolution Representation for Orbital Dynamics in Multipolar Fields",
    "url": "https://arxiv.org/abs/physics/0008045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1acab4c4-e03c-4159-a807-50b9b38b6a5d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}