{
  "id": "1101.0342",
  "version": "v1",
  "published": "2011-01-01T14:43:22.000Z",
  "updated": "2011-01-01T14:43:22.000Z",
  "title": "Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements",
  "authors": [
    "K. Okumura",
    "M. Shiino"
  ],
  "comment": "8 pages, 4 figures",
  "journal": "Lecture Notes in Computer Science 6443, 486 (2010)",
  "doi": "10.1007/978-3-642-17537-4_60",
  "categories": [
    "cond-mat.dis-nn",
    "nlin.CD"
  ],
  "abstract": "We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field model allows us to study the effects of noise without approximations only by dealing with deterministic nonlinear dynamics . We find the similarity, with respect to the occurrence of oscillations involving subcritical Hopf bifurcations, between the systems of an excitable element with applied constant currents and mean-field coupled excitable elements with noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-01T14:43:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "analytical approach",
      "noise effects",
      "applied constant currents",
      "synchronization",
      "nonlinear fokker-planck equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.0342O"
    }
  }
}