{
  "annotation_id": "b8586e3f-780e-427a-9d4b-6f8797d2fe87",
  "date_created": "2026-03-02T18:00:32.373000Z",
  "date_modified": "2026-03-02T18:00:32.373000Z",
  "file_hash": "734406ab40e24c5db4ab0dbd13686f444d470e2654ecc780c99826022f59ea92",
  "private": false,
  "record": {
    "abstract": "A cell dynamical system model for deterministic chaos enables precise\nquantification of the round-off error growth,i.e., deterministic chaos in\ndigital computer realizations of mathematical models of continuum dynamical\nsystems. The model predicts the following: (a) The phase space trajectory\n(strange attractor) when resolved as a function of the computer accuracy has\nintrinsic logarithmic spiral curvature with the quasiperiodic Penrose tiling\npattern for the internal structure. (b) The universal constant for\ndeterministic chaos is identified as the steady-state fractional round-off\nerror k for each computational step and is equal to 1 /sqr(tau) (=0.382) where\ntau is the golden mean. (c) The Feigenbaum\u0027s universal constants a and d are\nfunctions of k and, further, the expression 2(a**2) = (pie)*d quantifies the\nsteady-state ordered emergence of the fractal geometry of the strange\nattractor. (d) The power spectra of chaotic dynamical systems follow the\nuniversal and unique inverse power law form of the statistical normal\ndistribution.",
    "arxiv_id": "physics/0008010",
    "authors": [
      "A. Mary Selvam"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "journal_ref": "Applied Mathematical Modelling, 1993, Vol.17, 642-649",
    "title": "Universal quantification for deterministic chaos in dynamical systems",
    "url": "https://arxiv.org/abs/physics/0008010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "70171e90-0365-4884-a7cf-41d741dcbd60",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}