{
  "id": "2011.04634",
  "version": "v1",
  "published": "2020-11-09T18:44:07.000Z",
  "updated": "2020-11-09T18:44:07.000Z",
  "title": "Dynamics of two excitatory coupled neuron-like phase models",
  "authors": [
    "A. G. Korotkov",
    "T. A. Levanova",
    "M. A. Zaks",
    "G. V. Osipov"
  ],
  "comment": "14 pages, 13 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "A simple model of neuron-like ensemble is proposed. Within it, we consider dynamics of two excitable neurons interacting via the excitatory coupling. In the parameter space of the model, the regions of, respectively, in-phase, anti-phase synchronous behaviour and of quiescence are determined. Bifurcation transitions between all these states are studied in details.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-09T18:44:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "excitatory coupled neuron-like phase models",
      "simple model",
      "parameter space",
      "anti-phase synchronous behaviour",
      "bifurcation transitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}