{
  "id": "1502.03074",
  "version": "v1",
  "published": "2015-02-10T20:29:58.000Z",
  "updated": "2015-02-10T20:29:58.000Z",
  "title": "Integrability via Reversibility",
  "authors": [
    "Maciej P. Wojtkowski"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "A class of left-invariant second order reversible systems with functional parameter is introduced which exhibits the phenomenon of robust integrability: an open and dense subset of the phase space is filled with invariant tori carrying quasi-periodic motions, and this behavior persists under perturbations within the class. Real-analytic volume preserving systems are found in this class which have positive Lyapunov exponents on an open subset, and the complement filled with invariant tori.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-10T20:29:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant tori carrying quasi-periodic motions",
      "left-invariant second order reversible systems",
      "reversibility",
      "real-analytic volume preserving systems",
      "robust integrability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150203074W"
    }
  }
}