{
  "annotation_id": "8f66c188-2da5-434b-9561-32949dce3e4f",
  "date_created": "2026-03-02T18:01:21.749000Z",
  "date_modified": "2026-03-02T18:01:21.749000Z",
  "file_hash": "273c5558e0e8e77e75f13f8972ab565a9552205ceebe0108a36a35cf836de48c",
  "private": false,
  "record": {
    "abstract": "From a kinematical point of view, the geometrical information of hamiltonian\nchaos is given by the (un)stable directions, while the dynamical information is\ngiven by the Lyapunov exponents. The finite time Lyapunov exponents are of\nparticular importance in physics. The spatial variations of the finite time\nLyapunov exponent and its associated (un)stable direction are related. Both of\nthem are found to be determined by a new hamiltonian of same number of degrees\nof freedom as the original one. This new hamiltonian defines a flow field with\ncharacteristically chaotic trajectories. The direction and the magnitude of the\nphase flow field give the (un)stable direction and the finite time Lyapunov\nexponent of the original hamiltonian. Our analysis was based on a $1{1\\over 2}$\ndegree of freedom hamiltonian system.",
    "arxiv_id": "physics/9803006",
    "authors": [
      "X. Z. Tang",
      "A. H. Boozer"
    ],
    "categories": [
      "physics.class-ph",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "doi": "10.1016/S0375-9601(97)00797-4",
    "journal_ref": "Physics Letters A 236 (1997) 476-482",
    "title": "Hamiltonian structure of Hamiltonian chaos",
    "url": "https://arxiv.org/abs/physics/9803006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9a7e3b2e-b4b5-446d-9852-985b0284e3a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}