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Dispersion of the Arnold’s Asymptotic Ergodic Hopf Invariant and a Formula for Its Calculation

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Abstract

The main result of the paper is the formula that calculates the dispersion of the asymptotic Hopf invariant of a magnetic field. The paper contain examples, which describe magnetic fields in a conductive medium.

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Acknowledgements

The work of P.M. Akhmet’ev was supported by Russian Foundation for Basic Research (RFBR GFEN_a19-52-53045) and the work of I.V. Vyugin was supported by the Russian Science Foundation (grant no. 18-41-05003).

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Authors and Affiliations

  1. National Research University “Higher School of Economics”, Moscow, Moscow, Russia

    P. M. Akhmet’ev & I. V. Vyugin

  2. IZMIRAN, Troitsk, Moscow region, Russia

    P. M. Akhmet’ev

  3. Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia

    I. V. Vyugin

Authors
  1. P. M. Akhmet’ev
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  2. I. V. Vyugin
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Correspondence to P. M. Akhmet’ev.

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Akhmet’ev, P.M., Vyugin, I.V. Dispersion of the Arnold’s Asymptotic Ergodic Hopf Invariant and a Formula for Its Calculation. Arnold Math J. 6, 199–211 (2020). https://doi.org/10.1007/s40598-020-00144-w

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  • DOI: https://doi.org/10.1007/s40598-020-00144-w

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