{
  "abstract": "Period doubling is a robust feature of systems subjected to time-dependent parameter modulation, which manifests among a variety of fields including physics, chemistry, and biology. When the parameter is modulated in space, an analogous behavior can occur, characterized by the emergence of patterns with a wavelength twice that of the underlying modulation. Here, we consider the case of a system depending both on time and space. Using a simple mechanical model, here a vibrating strip, we show that such a modulation yields a dynamics richer than in the classical (i.e., purely temporal or spatial) case. In particular, instead of standard period doubling, we report a dual subharmonic response exhibiting occurrences of tristability. These features are captured within a unified framework, which further reveals that the frequency content of the response can be tuned via the ratio of the system size to the modulation length scale, a control parameter that can be adjusted through the strip's material properties, length, or tension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 6,
  "authors": [
    {
      "name": "E. Duval"
    },
    {
      "name": "F. Pétrélis"
    },
    {
      "name": "V. Tournat"
    },
    {
      "name": "J. Asnacios"
    },
    {
      "name": "S. Fauve"
    },
    {
      "name": "M. Lanoy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0fbtbnaadzxwb.bib",
  "cited_by": 0,
  "doi": "10.1103/qdqp-d295",
  "fulltext_url": null,
  "id": "0fbtbnaadzxwb",
  "issns": [
    "2470-0045",
    "2470-0053"
  ],
  "landing_url": "https://hal.science/hal-05767750v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7168188242",
  "pdf_url": "https://hal.science/hal-05767750/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-07",
  "publisher": "American Physical Society (APS)",
  "ris": "https://research.draconitic.com/paper/0fbtbnaadzxwb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:54Z",
      "native_id": "hal-05767750",
      "source": "hal",
      "url": "https://hal.science/hal-05767750v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Spatiotemporal parametric instabilities in a soft strip",
  "title_text": "Spatiotemporal parametric instabilities in a soft strip",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:54Z",
  "url": "https://research.draconitic.com/paper/0fbtbnaadzxwb",
  "venue": "Physical Review E",
  "versions": []
}