{
  "abstract": "Linear response is cheap to measure; the bistability boundaries it organizes are not. For a passive network with one localized cubic, the driving-point receptance $G$ fixes the period-one cusp set at fundamental-harmonic order: cusps lie on a fixed phase contour of $G$, a tangency of that contour under parameter variation creates a pair, and its curvature separates a gap opening from an isolated loop. For a two-mode absorber the linear prediction locates a benchmark birth coupling to $0.3\\%$, and to $0.03\\%$ once a third-harmonic correction of scale $|G(3Ω)/G(Ω)|$ is included.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11574",
  "author_total": 1,
  "authors": [
    {
      "name": "Kanchan Sarkar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/66y88gex753na.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11574",
  "fulltext_url": null,
  "id": "66y88gex753na",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11574",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.app-ph"
    ],
    [
      "arxiv",
      "physics.class-ph"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7212238098",
  "pdf_url": "https://arxiv.org/pdf/2609.11574",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/66y88gex753na.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11574",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11574"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Linear Response Predicts Cusp-Pair Births in Networks with a Localized Cubic",
  "title_text": "Linear Response Predicts Cusp-Pair Births in Networks with a Localized Cubic",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/66y88gex753na",
  "venue": "arXiv",
  "versions": []
}