{
  "id": "1805.02873",
  "version": "v1",
  "published": "2018-05-08T07:49:13.000Z",
  "updated": "2018-05-08T07:49:13.000Z",
  "title": "The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems",
  "authors": [
    "Antonio Algaba",
    "Cristóbal García",
    "Manuel Reyes"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We solve the analytic integrability problem for diferential systems in the plane whose origin is an isolated singularity and the first homogeneous component is a quadratic Lotka-Volterra type. As an application, we give the analytically integrable systems of a class of systems $\\dot{x}= x(P1+P2)$; $\\dot{y}= y(Q1+Q2)$; being Pi,Qi homogeneous polynomials of degree i.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-08T07:49:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "analytic integrability problem",
      "homogeneous quadratic lotka-volterra systems",
      "perturbations",
      "quadratic lotka-volterra type",
      "diferential systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}