{
  "annotation_id": "7bd6f186-41ce-4d34-957d-edfe5c6320df",
  "date_created": "2026-03-02T18:00:29.164000Z",
  "date_modified": "2026-03-02T18:00:29.164000Z",
  "file_hash": "7f81c82bce8876940efc0c5831c8f2db5b5b8fc5ce8d4fe4c23e36b6cdb1e8a3",
  "private": false,
  "record": {
    "abstract": "A two dimensional model is introduced to study pattern formation, secondary\ninstabilities and the transition to spatiotemporal chaos (weak turbulence) in\nparametric surface waves. The stability of a periodic standing wave state above\nonset is studied against Eckhaus, zig-zag and transverse amplitude modulations\n(TAM) as a function of the control parameter $\\varepsilon$ and the detuning. A\nmechanism leading to a finite threshold for the TAM instability is identified.\nNumerical solutions of the model are in agreement with the stability diagram,\nand also reveal the existence of a transition to spatiotemporal chaotic states\nat a finite $\\varepsilon$. Power spectra of temporal fluctuations in the\nchaotic state are broadband, decaying as a power law of the frequency\n$\\omega^{-z}$ with $z \\approx 4.0$.",
    "arxiv_id": "patt-sol/9311005",
    "authors": [
      "Wenbin Zhang",
      "Jorge Vinals"
    ],
    "categories": [
      "patt-sol",
      "chao-dyn",
      "cond-mat",
      "nlin.CD",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.74.690",
    "journal_ref": "Phys. Rev. Lett. 74, 690 (1995)",
    "title": "Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface   Waves",
    "url": "https://arxiv.org/abs/patt-sol/9311005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e79ec196-f283-47bc-9432-52648b62cde8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}