This article is cited in 8 papers

Absolute choreographies of point vortices on a sphere

K.G. Tronin

Institute of Computer Science, Udmurt State University, 1 Universitetskaya str., 426034 Izhevsk, Russia

Abstract: New periodic solutions to the problem of three and four identical vortices on a sphere are specified. These solutions correspond to choreographies of vortices on a plane. We also describe different methods to construct choreographies for an arbitrary number of vortices. The most interesting methods are based on splitting of the static symmetrical vortex configurations on a sphere.

Keywords: absolute choreographies, point vortices.

MSC: 37N05, 70F10

Received: 10.05.2005
Accepted: 30.07.2005

Language: English

DOI: 10.1070/RD2006v011n01ABEH000338

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