Dynamics of Three Vortices on a Sphere


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This paper is concerned with the dynamics of vortices on a sphere. It is shown that, as a result of reduction, the problem reduces to investigating a system with a nonlinear Poisson bracket. The topology of a symplectic leaf in the case of three vortices is studied.

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Alexey Borisov

Udmurt State University; Moscow Institute of Physics and Technology

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Email: borisov@rcd.ru
俄罗斯联邦, ul. Universitetskaya 1, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700

Ivan Mamaev

Moscow Institute of Physics and Technology; Izhevsk State Technical University

Email: borisov@rcd.ru
俄罗斯联邦, Institutskii per. 9, Dolgoprudnyi, 141700; ul. Studencheskaya 7, Izhevsk, 426069

Alexander Kilin

Udmurt State University; Moscow Institute of Physics and Technology

Email: borisov@rcd.ru
俄罗斯联邦, ul. Universitetskaya 1, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700

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