{
  "abstract": "Nonlinear multistable systems with limit cycles may exhibit noise-induced transitions between oscillatory states, even in parameter regimes beyond the saddle-node bifurcations that determine the existence of these limit cycles. This behavior is associated with the ghost of a saddle-node bifurcation, a well-known feature of nonlinear systems near such bifurcation points. To investigate this phenomenon, we first consider a stochastic minimal model that supports two coexisting limit cycles within a parameter interval bounded by two saddle-node bifurcations. We numerically and theoretically estimate the probability of remaining near each stable attractor as a function of both the noise intensity and the distance to the ghost structure. The model is then extended by introducing spatially localized, non-homogeneous noise with enhanced intensity in a prescribed region of phase space. This modification is intended to emulate the asymmetric structure of the Hindmarsh-Rose model, in which bursting limit cycles approach each other closely in specific regions of phase space, thereby facilitating noise-induced transitions between them.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: I. Ortega Piwonka, J. Used, J. M. Seoane, M. A. F. Sanjuán. Communications in Nonlinear Science and Numerical Simulation 163, 110839 (2026)",
  "arxiv": "2610.23235",
  "author_total": 4,
  "authors": [
    {
      "name": "Ignacio Ortega-Piwonka"
    },
    {
      "name": "Javier Used"
    },
    {
      "name": "Jesús M. Seoane"
    },
    {
      "name": "Miguel A. F. Sanjuán"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ewmk0h7afys0c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23235",
  "fulltext_url": null,
  "id": "ewmk0h7afys0c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23235",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.AO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.23235",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ewmk0h7afys0c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23235",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23235"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.AO",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Noise-induced transitions between coexisting limit cycles beyond saddle-node bifurcations",
  "title_text": "Noise-induced transitions between coexisting limit cycles beyond saddle-node bifurcations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/ewmk0h7afys0c",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.cnsns.2026.110839",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}