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    Stability of new relative equilibria of the system of three point vortices in a circular domain

    2011, Vol. 7, No. 1, pp.  119-138

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

    This paper presents a topological approach to the search and stability analysis of relative equilibria of three point vortices of equal intensities. It is shown that the equations of motion can be reduced by one degree of freedom. We have found two new stationary configurations (isosceles and non-symmetrical collinear) and studied their bifurcations and stability.



    Keywords: point vortex, reduction, bifurcational diagram, relative equilibriums, stability, periodic solutions
    Citation: Borisov A. V., Mamaev I. S., Vaskina A. V., Stability of new relative equilibria of the system of three point vortices in a circular domain, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 1, pp.  119-138
    DOI:10.20537/nd1101006


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