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Quasi-periodic motions of vortex systems. (English) Zbl 1194.76028

Summary: The dynamics of systems of vortices are considered. It is shown that in the phase space of the system of any finite number of vortices there exists a set of initial conditions of positive measure for which the motion of vortices is quasi-periodical. In the appendix written by S.L. Ziglin the non-integrability of the four-vortex system is demonstrated.

MSC:

76B47 Vortex flows for incompressible inviscid fluids
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References:

[1] Novikov, E. A., Zh. Eksp. Teor. Fis., 68, 1868 (1975)
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