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Massive evaluation and analysis of Poincaré recurrences

Ivan I. Shevchenko; Guillaume Rollin; Alexander V. Melnikov; José Lages


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{
  "inLanguage": {
    "alternateName": "eng", 
    "@type": "Language", 
    "name": "English"
  }, 
  "description": "<p>We present a novel numerical method aimed to characterize global behaviour, in particular chaotic diffusion, in dynamical systems. It is based on an analysis of the Poincar&eacute; recurrence statistics on massive grids of initial data or values of parameters. We concentrate on Hamiltonian systems, featuring the method separately for the cases of bounded and non-bounded phase spaces. The embodiments of the method in each of the cases are specific. This new method allows one to construct, in some approximation, charts of local diffusion timescales.</p>", 
  "license": "https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Institute of Applied Astronomy, RAS, 191187 Saint Petersburg, Russia", 
      "@id": "https://orcid.org/0000-0002-9706-0557", 
      "@type": "Person", 
      "name": "Ivan I. Shevchenko"
    }, 
    {
      "affiliation": "Institut UTINAM, OSU THETA, CNRS, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Besan\u00e7on 25030, France", 
      "@type": "Person", 
      "name": "Guillaume Rollin"
    }, 
    {
      "affiliation": "Tomsk State University, 634050 Tomsk, Russia", 
      "@type": "Person", 
      "name": "Alexander V. Melnikov"
    }, 
    {
      "affiliation": "Institut UTINAM, OSU THETA, CNRS, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Besan\u00e7on 25030, France", 
      "@id": "https://orcid.org/0000-0001-5965-8876", 
      "@type": "Person", 
      "name": "Jos\u00e9 Lages"
    }
  ], 
  "url": "https://zenodo.org/record/3228905", 
  "datePublished": "2019-05-25", 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.3228905", 
  "@id": "https://doi.org/10.5281/zenodo.3228905", 
  "@type": "SoftwareSourceCode", 
  "name": "Massive evaluation and analysis of Poincar\u00e9 recurrences"
}
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