{
  "annotation_id": "438a9e31-77e3-4fdd-af3d-21bba52255c4",
  "date_created": "2026-03-02T18:00:28.609000Z",
  "date_modified": "2026-03-02T18:00:28.609000Z",
  "file_hash": "1bf6ed3e7168e2e28183dd166e3e23525fb00f9fb7c5b2a6af6835285f81e147",
  "private": false,
  "record": {
    "abstract": "We study the stationary states of networks consisting of weakly coupled\nbistable units. We prove the existence of a high multiplicity of stable steady\nstates in networks with very general inter-unit dynamics. We present a method\nfor estimating the critical coupling strength below which these stationary\nstates persist in the network. In some cases, the presence of time-independent\nlocalized states in the system can be regarded as a `propagation failure\u0027\nphenomenon. We analyse this type of behaviour in the case of diffusive networks\nwhose elements are described by one or two variables and give concrete\nexamples.",
    "arxiv_id": "patt-sol/9501003",
    "authors": [
      "R S MacKay",
      "J A Sepulchre"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Multistability in networks of weakly coupled bistable units",
    "url": "https://arxiv.org/abs/patt-sol/9501003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6ab1d4a-059f-4fad-b998-3ca7c5ba2cd7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}