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The dynamics of three vortex sources

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To the anniversaries of our friends and outstanding scientists D. V.Treschev and S.V.Bolotin

Abstract

In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.

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Authors and Affiliations

  1. Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia

    Ivan A. Bizyaev, Alexey V. Borisov & Ivan S. Mamaev

  2. Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S. Kovalevskoi 16, Ekaterinburg, 620990, Russia

    Alexey V. Borisov

  3. Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudnyi, 141700, Russia

    Ivan S. Mamaev

Authors
  1. Ivan A. Bizyaev
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  2. Alexey V. Borisov
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  3. Ivan S. Mamaev
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Correspondence to Ivan A. Bizyaev.

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Bizyaev, I.A., Borisov, A.V. & Mamaev, I.S. The dynamics of three vortex sources. Regul. Chaot. Dyn. 19, 694–701 (2014). https://doi.org/10.1134/S1560354714060070

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  • DOI: https://doi.org/10.1134/S1560354714060070

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