{
  "id": "1707.04569",
  "version": "v1",
  "published": "2017-07-14T17:34:30.000Z",
  "updated": "2017-07-14T17:34:30.000Z",
  "title": "Stability in Chaos",
  "authors": [
    "Greg Huber",
    "Marc Pradas",
    "Alain Pumir",
    "Michael Wilkinson"
  ],
  "comment": "6 pages, 4 figures",
  "categories": [
    "nlin.CD"
  ],
  "abstract": "Intrinsic instability of trajectories characterizes chaotic dynamical systems. We report here that trajectories can exhibit a surprisingly high degree of stability, over a very long time, in a chaotic dynamical system. We provide a detailed quantitative description of this effect for a one-dimensional model of inertial particles in a turbulent flow using large-deviation theory. Specifically, the determination of the entropy function for the distribution of finite-time Lyapunov exponents reduces to the analysis of a Schr\\\"odinger equation, which is tackled by semi-classical methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-14T17:34:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite-time lyapunov exponents reduces",
      "trajectories characterizes chaotic dynamical systems",
      "intrinsic instability",
      "one-dimensional model",
      "inertial particles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}