{
  "id": "2103.01092",
  "version": "v1",
  "published": "2021-03-01T15:57:20.000Z",
  "updated": "2021-03-01T15:57:20.000Z",
  "title": "A new amplitude-frequency formula for non-conservative oscillators",
  "authors": [
    "Andrés García"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper formalize the existence's proof of first-integrals for any second order ODE, allowing to discriminate periodic orbits. Up to the author's knowledge, such a powerful result is not available in the literature providing a tool to determine periodic orbits/limit cycles in the most general scenario.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-01T15:57:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amplitude-frequency formula",
      "non-conservative oscillators",
      "determine periodic orbits/limit cycles",
      "second order ode",
      "discriminate periodic orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}