The Dynamics of Vortex Sources in a Deformation Flow

    2016, Volume 21, Number 3, pp.  367-376

    Author(s): Bizyaev I. A., Borisov A. V., Mamaev I. S.

    This paper is concerned with the dynamics of vortex sources in a deformation flow. The case of two vortex sources is shown to be integrable by quadratures. In addition, the relative equilibria (of the reduced system) are examined in detail and it is shown that in this case the trajectory of vortex sources is an ellipse.
    Keywords: integrability, vortex sources, reduction, deformation flow
    Citation: Bizyaev I. A., Borisov A. V., Mamaev I. S., The Dynamics of Vortex Sources in a Deformation Flow, Regular and Chaotic Dynamics, 2016, Volume 21, Number 3, pp. 367-376
    DOI: 10.1134/S1560354716030084



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