{
  "id": "1907.13225",
  "version": "v1",
  "published": "2019-07-30T21:18:52.000Z",
  "updated": "2019-07-30T21:18:52.000Z",
  "title": "Global Attractors for Hindmarsh-Rose Equations in Neurodynamics",
  "authors": [
    "Chi Phan",
    "Yuncheng You",
    "Jianzhong Su"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Global dynamics of the diffusive and partly diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in neurodynamics are investigated in this paper. The existence of global attractors as well as the regularity are proved through various uniform estimates showing the dissipative properties and the asymptotically compact characteristics, especially for the partly diffusive Hindmarsh-Rose equations by means of the Kolmogorov-Riesz theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-30T21:18:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global attractors",
      "partly diffusive hindmarsh-rose equations",
      "neurodynamics",
      "three-dimensional bounded domain",
      "global dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}