{
  "annotation_id": "0a1078e8-8808-4f83-8bc6-0e93f25a153e",
  "date_created": "2026-03-02T18:00:28.873000Z",
  "date_modified": "2026-03-02T18:00:28.873000Z",
  "file_hash": "e40010a308bf19c76c6af9d955e20a37ba41a287ab7a344a9dd00cfa61934e1c",
  "private": false,
  "record": {
    "abstract": "The formation of localized structures in the chlorine dioxide-idodine-malonic\nacid (CDIMA) reaction-diffusion system is investigated numerically using a\nrealistic model of this system. We analyze the one-dimensional patterns formed\nalong the gradients imposed by boundary feeds, and study their linear stability\nto symmetry-breaking perturbations (Turing instability) in the plane transverse\nto these gradients. We establish that an often-invoked simple local linear\nanalysis which neglects longitudinal diffusion is inappropriate for predicting\nthe linear stability of these patterns. Using a fully nonuniform analysis, we\ninvestigate the structure of the patterns formed along the gradients and their\nstability to transverse Turing pattern formation as a function of the values of\ntwo control parameters: the malonic acid feed concentration and the size of the\nreactor in the dimension along the gradients. The results from this\ninvestigation are compared with existing experiments.",
    "arxiv_id": "patt-sol/9806006",
    "authors": [
      "S. Setayeshgar",
      "M. C. Cross"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.58.4485",
    "title": "Turing Instability in a Boundary-fed System",
    "url": "https://arxiv.org/abs/patt-sol/9806006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b8a435d-1438-43cb-ae6e-87303eddd47c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}