{
  "id": "2002.01516",
  "version": "v1",
  "published": "2020-02-04T19:38:19.000Z",
  "updated": "2020-02-04T19:38:19.000Z",
  "title": "On the global attractivity of non-autonomous neural networks with a distributed delay",
  "authors": [
    "Leonid Berezansky",
    "Elena Braverman"
  ],
  "comment": "21 pages; submitted",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a system of several nonlinear equations with a distributed delay and obtain absolute asymptotic stability conditions, independent of the delay. The ideas of the proofs are based on the notion of a strong attractor. The results are applied to Hopfield neural networks, Nicholson's blowflies type system, and compartment models of population dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-04T19:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K20",
      "34K25",
      "92B20",
      "37C70"
    ],
    "keywords": [
      "non-autonomous neural networks",
      "distributed delay",
      "global attractivity",
      "absolute asymptotic stability conditions",
      "nicholsons blowflies type system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}