{
  "abstract": "We show that negative feedback alone generates the diversity of self-organized shapes usually attributed to scale-dependent activation-inhibition. For a broad class of kernels, pairwise competition models only generate hexagonal spot arrays. Higher-order terms eliminate this restriction and promote stripes and gaps. Combining individual-based simulations and nonlinear analysis, we derive the pattern-selection thresholds and construct the full state diagram, including an unusual spots-stripes-spots sequence. Spot patterns are thus not a reliable indicator of proximity to a tipping point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29725",
  "author_total": 3,
  "authors": [
    {
      "name": "David Pinto-Ramos"
    },
    {
      "name": "Anudeep Surendran"
    },
    {
      "name": "Ricardo Martinez-Garcia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/07sn49g0c1xd7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29725",
  "fulltext_url": null,
  "id": "07sn49g0c1xd7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29725",
  "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",
      "physics.bio-ph"
    ],
    [
      "openalex",
      "2739|Mathematical and Theoretical Epidemiology and Ecology Models"
    ]
  ],
  "openalex": "W7214297740",
  "pdf_url": "https://arxiv.org/pdf/2609.29725",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/07sn49g0c1xd7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.29725",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29725"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.bio-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.AO",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Higher-Order Competition as a Minimal Mechanism for Spatial Pattern Diversity in Population Dynamics",
  "title_text": "Higher-Order Competition as a Minimal Mechanism for Spatial Pattern Diversity in Population Dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/07sn49g0c1xd7",
  "venue": "arXiv",
  "versions": []
}