{
  "annotation_id": "bde51655-3cde-43cb-b2db-b861394ebf83",
  "date_created": "2026-03-02T18:00:28.839000Z",
  "date_modified": "2026-03-02T18:00:28.839000Z",
  "file_hash": "7a11b95974458e4892b0a4a38f768d2dcb4194daf166613cbebed5e36b5c756d",
  "private": false,
  "record": {
    "abstract": "The dynamical systems of the form $\\ddot\\bold r=\\bold F (\\bold r,\\dot\\bold\nr)$ in $\\Bbb R^n$ accepting the normal shift are considered. The concept of\nweak normality for them is introduced. The partial differential equations for\nthe force field $\\bold F(\\bold r,\\dot\\bold r)$ of the dynamical systems with\nweak and complete normality are derived.",
    "arxiv_id": "patt-sol/9404001",
    "authors": [
      "A. Yu. Boldin",
      "R. A. Sharipov"
    ],
    "categories": [
      "patt-sol",
      "alg-geom",
      "astro-ph",
      "math.AG",
      "nlin.PS"
    ],
    "doi": "10.1007/BF01016762",
    "journal_ref": "Dokladi Akademii Nauk. 334(1994), No. 2, P. 165-167",
    "title": "Multidimensional Dynamical Systems Accepting the Normal Shift",
    "url": "https://arxiv.org/abs/patt-sol/9404001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2004249-7282-4049-9b80-e46ea6ff2b38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}