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    Reduction and chaotic behavior of point vortices on a plane and a sphere

    2005, Vol. 1, No. 2, pp.  233-246

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

    We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied to the vortex dynamics, it requires substantial modification. Reduction of four vortices on a sphere is given in more detail. We also use the Poincare surface-of-section technique to perform the reduction a four-vortex system on a sphere.



    Keywords: reduction, point vortex, equations of motion, Poincare map
    Citation: Borisov A. V., Kilin A. A., Mamaev I. S., Reduction and chaotic behavior of point vortices on a plane and a sphere, Rus. J. Nonlin. Dyn., 2005, Vol. 1, No. 2, pp.  233-246
    DOI:10.20537/nd0502006


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