The dynamics of three vortex sources


    2014, Vol. 10, No. 3, pp.  319-327

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

    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.
    Keywords: integrability, vortex sources, shape sphere, reduction, homothetic configurations
    Citation: Bizyaev I. A., Borisov A. V., Mamaev I. S., The dynamics of three vortex sources, Rus. J. Nonlin. Dyn., 2014, Vol. 10, No. 3, pp.  319-327
    DOI:10.20537/nd1403006


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