{
  "annotation_id": "f0d6a12e-01bc-4dae-8b70-c0a12c971981",
  "date_created": "2026-03-02T18:00:32.483000Z",
  "date_modified": "2026-03-02T18:00:32.483000Z",
  "file_hash": "4894814fe6583cdb82daf75e9d18b8fe98a70ecab5f7530ae9e5819ca193670c",
  "private": false,
  "record": {
    "abstract": "A generalized Lyapunov method is outlined which predicts global stability of\na broad class of dissipative dynamical systems. The method is applied to the\ncomplex Lorenz model and to the Navier-Stokes equations. In both cases one\nfinds compact domains in phase space which contain the omega sets of all\ntrajectories, in particular the fixed points, limit cycles, and strange\nattractors.",
    "arxiv_id": "physics/0101025",
    "authors": [
      "Alexander Rauh"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "journal_ref": "Nonlinear Phenomena in Complex Systems, 2:1 (1999) 78-82",
    "title": "Global stability of systems related to the Navier-Stokes equations",
    "url": "https://arxiv.org/abs/physics/0101025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "34b9817c-6962-4009-a84c-f970e57731ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}