{
  "abstract": "Several chemical and biological systems produce spontaneous spirals in their dynamical behavior, such as the Belousov-Zhabotinsky reaction in chemistry and the slime mold Dictyostelium in biology. In a previous study, such spiral wave formation was accurately replicated with a computational spatial system known as the Ideal Storage Cellular Automaton Model (ISCAM). Here, a more detailed investigation is presented of the ability of this model to generate spontaneous spirals depending on its parameter values. A dynamical systems analysis is performed, and bifurcation diagrams, phase space diagrams, and snapshots of the model's spatial dynamics are presented for a range of parameter values. This analysis reveals that spiral waves can only be sustained in the system when the parameter values of the model fall well within the regime of a so-called Neimark-Sacker bifurcation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38710",
  "author_total": 1,
  "authors": [
    {
      "name": "Wim Hordijk"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/03bekqhwtr7y3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38710",
  "fulltext_url": null,
  "id": "03bekqhwtr7y3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38710",
  "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",
      "math.DS"
    ],
    [
      "arxiv",
      "q-bio.MN"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38710",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/03bekqhwtr7y3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38710",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38710"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.MN",
      "subfield": "systems-synthetic"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Spontaneous Spirals in Spatial Systems",
  "title_text": "Spontaneous Spirals in Spatial Systems",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:56Z",
  "url": "https://research.draconitic.com/paper/03bekqhwtr7y3",
  "venue": "arXiv",
  "versions": []
}