{
  "annotation_id": "df2a5339-f1c6-4d62-8a6d-bd4d41b9f71d",
  "date_created": "2026-03-02T18:00:43.062000Z",
  "date_modified": "2026-03-02T18:00:43.062000Z",
  "file_hash": "4d0e2150690f16186cd651b3554af2860197aa557991a606968234d11b0d43bb",
  "private": false,
  "record": {
    "abstract": "A fast and efficient numerical-analytical approach is proposed for modeling\ncomplex behaviour in the BBGKY--hierarchy of kinetic equations. Our\ncalculations are based on variational and multiresolution approaches in the\nbasis of polynomial tensor algebras of generalized coherent states/wavelets. We\nconstruct the representation for hierarchy of reduced distribution functions\nvia the multiscale decomposition in highly-localized eigenmodes. Numerical\nmodeling shows the creation of various internal structures from localized\nmodes, which are related to localized or chaotic type of behaviour and the\ncorresponding patterns (waveletons) formation. The localized pattern is a model\nfor energy confinement state (fusion) in plasma.",
    "arxiv_id": "physics/0212066",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.plasm-ph",
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "doi": "10.1142/9789812705129_0043",
    "title": "BBGKY Dynamics: from Localization to Pattern Formation",
    "url": "https://arxiv.org/abs/physics/0212066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b83c735-ea09-4b42-bb0a-212251bf9911",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}