{
  "abstract": "We show that linear-growth-rate heterogeneity combined with complex global coupling can generate quasiperiodicity and chaos in a finite population of Stuart-Landau oscillators with identical natural frequencies and no Kerr-type nonlinear frequency shift. Lyapunov spectra identify limit cycles, quasiperiodic tori, and chaotic attractors, while the order-parameter amplitude exhibits signatures consistent with period-doubling-like transitions towards chaos. We further derive a finite-size invariant manifold of vanishing-order-parameter phase-locked solutions represented by closed polygons with fixed side lengths and demonstrate their configuration-dependent transverse stability. Ensemble sampling reveals pronounced coexistence among polygonal and ordinary phase-locked cycles, quasiperiodic tori, and chaotic attractors. An amplitude-time rescaling identifies the leading parameter approximately organizing the regime boundaries and the similar bifurcation and multistability patterns. These results advance our understanding of collective dynamics in amplitude-inclusive oscillator networks by revealing how heterogeneity and complex coupling jointly shape dynamical complexity, bifurcation structure, and multistability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08239",
  "author_total": 2,
  "authors": [
    {
      "name": "Luekai Zhao"
    },
    {
      "name": "Nariya Uchida"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/07b9b6mcs0z26.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08239",
  "fulltext_url": null,
  "id": "07b9b6mcs0z26",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08239",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7220981934",
  "pdf_url": "https://arxiv.org/pdf/2610.08239",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/07b9b6mcs0z26.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.08239",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08239"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators",
  "title_text": "Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/07b9b6mcs0z26",
  "venue": "arXiv",
  "versions": []
}