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2005, 2005(Special): 110-120. doi: 10.3934/proc.2005.2005.110

New periodic solutions for three or four identical vortices on a plane and a sphere

A.V. Borisov 1, , I.S. Mamaev 1, and  A.A. Kilin 1,

1. 

Institute of Computer Science, Udmurt State University, 426034 Izhevsk

Received  September 2004 Revised  April 2005 Published  September 2005

In this paper we describe new classes of periodic solutions for point vortices on a plane and a sphere. They correspond to similar solutions (so-called choreographies) in celestial mechanics.
Keywords: choreographies, vortex dynamics, reduction., periodic solutions.
Mathematics Subject Classification: 37N10, 76B4.
Citation: A.V. Borisov, I.S. Mamaev, A.A. Kilin. New periodic solutions for three or four identical vortices on a plane and a sphere. Conference Publications, 2005, 2005 (Special) : 110-120. doi: 10.3934/proc.2005.2005.110
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