{
  "annotation_id": "f6011b74-da54-4788-aa24-17b3ee3df8f4",
  "date_created": "2026-03-02T18:00:18.730000Z",
  "date_modified": "2026-03-02T18:00:18.730000Z",
  "file_hash": "ce52b292f8fb3f3869466366bc1fd57cad42557a6600e6cf23e632cf1b85ef88",
  "private": false,
  "record": {
    "abstract": "In problems where the temporal evolution of a nonlinear system cannot be\nfollowed, a method for studying the fluctuations of spatial patterns has been\ndeveloped. That method is applied to well-known problems in deterministic chaos\n(the logistic map and the Lorenz model) to check its effectiveness in\ncharacterizing the dynamical behaviors. It is found that the indices $\\mu _q$\nare as useful as the Lyapunov exponents in providing a quantitative measure of\nchaos.",
    "arxiv_id": "nucl-th/9702025",
    "authors": [
      "Zhen Cao",
      "Rudolph C. Hwa"
    ],
    "categories": [
      "nucl-th",
      "chao-dyn",
      "hep-ph",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevE.56.326",
    "journal_ref": "Phys.Rev.E56:326-333,1997",
    "title": "Fluctuations of Spatial Patterns as a Measure of Classical Chaos",
    "url": "https://arxiv.org/abs/nucl-th/9702025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09e18ecd-7033-4c7a-8b2e-0c9cf1eec91b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}