Reduction and chaotic behavior of point vortices on a plane and a sphere
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied to the vortex dynamics, it requires substantial modification. Reduction of four vortices on a sphere is given in more detail. We also use the Poincare surface-of-section technique to perform the reduction a four-vortex system on a sphere.
Keywords
Cite
@article{arxiv.nlin/0507057,
title = {Reduction and chaotic behavior of point vortices on a plane and a sphere},
author = {A. V. Borisov and A. A. Kilin and I. S. Mamaev},
journal= {arXiv preprint arXiv:nlin/0507057},
year = {2007}
}
Comments
10 pages, 3 figures