{
  "id": "1510.07205",
  "version": "v1",
  "published": "2015-10-25T04:04:11.000Z",
  "updated": "2015-10-25T04:04:11.000Z",
  "title": "Chemical Reaction Systems with a Homoclinic Bifurcation: an Inverse Problem",
  "authors": [
    "Tomislav Plesa",
    "Tomas Vejchodsky",
    "Radek Erban"
  ],
  "comment": "Submitted to Mathematical Models and Methods in Applied Sciences",
  "categories": [
    "math.DS",
    "q-bio.MN"
  ],
  "abstract": "An inverse problem framework for constructing reaction systems with prescribed properties is presented. Kinetic transformations are defined and analysed as a part of the framework, allowing an arbitrary polynomial ordinary differential equation to be mapped to the one that can be represented as a reaction network. The framework is used for construction of specific two- and three-dimensional bistable reaction systems undergoing a supercritical homoclinic bifurcation, and the topology of their phase spaces is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-25T04:04:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chemical reaction systems",
      "homoclinic bifurcation",
      "arbitrary polynomial ordinary differential equation",
      "bistable reaction systems undergoing",
      "three-dimensional bistable reaction systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}