{
  "abstract": "Higher-order networks exhibit rich critical phenomena that cannot be captured by traditional pairwise models. Here, we develop an analytical dimension-reduction framework that maps higher-order networked dynamics onto an effective low-dimensional system, allowing accurate prediction of tipping boundaries, bistability regions, and the nature of phase transitions. We demonstrate the power of this framework across a range of dynamical processes, revealing distinct effects of higher-order interactions on transition continuity and hysteresis. Furthermore, we find that system resilience exhibits a profound dependence on the alignment between pairwise and higher-order connectivity, with assortative mixing enhancing tipping toward active states. Our findings establish a general theory for understanding the critical transitions in higher-order networks, offering new insights for anticipating and managing systemic risk in complex systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04692",
  "author_total": 4,
  "authors": [
    {
      "name": "Jia-Jie Qin"
    },
    {
      "name": "Jack Murdoch Moore"
    },
    {
      "name": "Xiaozhu Zhang"
    },
    {
      "name": "Gang Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dt1d0gxj603tp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04692",
  "fulltext_url": null,
  "id": "dt1d0gxj603tp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04692",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "nlin.AO"
    ],
    [
      "arxiv",
      "physics.soc-ph"
    ],
    [
      "openalex",
      "3109|Complex Network Analysis Techniques"
    ]
  ],
  "openalex": "W7211876662",
  "pdf_url": "https://arxiv.org/pdf/2609.04692",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dt1d0gxj603tp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04692",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04692"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Low-Dimensional Phase Diagram of Higher-Order Networked Systems",
  "title_text": "Low-Dimensional Phase Diagram of Higher-Order Networked Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:14Z",
  "url": "https://research.draconitic.com/paper/dt1d0gxj603tp",
  "venue": "arXiv",
  "versions": []
}