New periodic solutions for three or four identical vortices on a plane and a sphere
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.nlin/0507058,
title = {New periodic solutions for three or four identical vortices on a plane and a sphere},
author = {A. V. Borisov and I. S. Mamaev and A. A. Kilin},
journal= {arXiv preprint arXiv:nlin/0507058},
year = {2007}
}
Comments
15 pages, 6 figures