{
  "annotation_id": "03ca35a4-af48-4596-9dd1-9bc6b583a5a7",
  "date_created": "2026-03-02T18:01:31.481000Z",
  "date_modified": "2026-03-02T18:01:31.481000Z",
  "file_hash": "a401ac6f2ebbc3e8db98de0d7234270340178b3a0c199e370bcc57ace427e0f8",
  "private": false,
  "record": {
    "abstract": "We analyze the stability of standing pulse solutions of a neural network\nintegro-differential equation. The network consists of a coarse-grained layer\nof neurons synaptically connected by lateral inhibition with a non-saturating\nnonlinear gain function. When two standing single-pulse solutions coexist, the\nsmall pulse is unstable, and the large pulse is stable. The large single-pulse\nis bistable with the ``all-off\u0027\u0027 state. This bistable localized activity may\nhave strong implications for the mechanism underlying working memory. We show\nthat dimple pulses have similar stability properties to large pulses but double\npulses are unstable.",
    "arxiv_id": "q-bio/0407014",
    "authors": [
      "Yixin Guo",
      "Carson C. Chow"
    ],
    "categories": [
      "q-bio.NC",
      "q-bio.QM"
    ],
    "title": "Existence and Stability of Standing Pulses in Neural Networks: II   Stability",
    "url": "https://arxiv.org/abs/q-bio/0407014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a880ac84-d7a1-4d26-abed-6d6291c5c617",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}