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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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    "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>", 
    "language": "eng", 
    "title": "Massive evaluation and analysis of Poincar\u00e9 recurrences", 
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    "publication_date": "2019-05-25", 
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        "affiliation": "Institute of Applied Astronomy, RAS, 191187 Saint Petersburg, Russia", 
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        "name": "Guillaume Rollin"
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        "name": "Alexander V. Melnikov"
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        "affiliation": "Institut UTINAM, OSU THETA, CNRS, Universit\u00e9 de Bourgogne Franche-Comt\u00e9, Besan\u00e7on 25030, France", 
        "name": "Jos\u00e9 Lages"
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