{
  "abstract": "Chimera states, characterized by the coexistence of synchronized and desynchronized dynamics in identical oscillators, are typically studied in systems with pairwise interactions. Recent studies have shown that purely higher-order interactions can support chimera states. Here, we show that breathing chimera states arise in a model governed solely by a triadic phase interaction, whose intrinsic $π$-symmetry permits bimodal phase distributions. We construct a bimodal Ott-Antonsen reduction that incorporates an asymmetry parameter via prescribed asymmetric initial conditions, thereby achieving an exact low-dimensional description of the macroscopic dynamics. This allows us to derive an analytic condition for the emergence of chimera states and identify a bifurcation to a breathing chimera regime characterized by persistent oscillations. Furthermore, the reduced dynamics can be expressed as a Riccati-type equation, providing a geometric interpretation of the chimera state as a closed periodic orbit in the complex plane. Our results establish purely triadic coupling as a minimal higher-order mechanism for chimera formation and provide a tractable framework for studying symmetry-broken collective dynamics in systems dominated by many-body interactions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.28017",
  "author_total": 5,
  "authors": [
    {
      "name": "Sudo Yi"
    },
    {
      "name": "Gug Young Kim"
    },
    {
      "name": "Mi Jin Lee"
    },
    {
      "name": "S. -W. Son"
    },
    {
      "name": "B. Kahng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2dhk73fch34f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.28017",
  "fulltext_url": null,
  "id": "b2dhk73fch34f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.28017",
  "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.AO"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.soc-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.28017",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2dhk73fch34f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2607.28017",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.28017"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.AO",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Breathing chimera states from purely triadic interactions",
  "title_text": "Breathing chimera states from purely triadic interactions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/b2dhk73fch34f",
  "venue": "arXiv",
  "versions": []
}