Reduction and chaotic behavior of point vortices on a plane and a sphere

A.V. Borisov; A.A. Kilin; I.S. Mamaev

doi:10.3934/proc.2005.2005.100

Article Contents

2005, Volume 2005: 100-109. Doi: 10.3934/proc.2005.2005.100 open access

This issue Previous Article Bifurcations of self-similar solutions of the Fokker-Plank equations Next Article New periodic solutions for three or four identical vortices on a plane and a sphere

Reduction and chaotic behavior of point vortices on a plane and a sphere

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

Received: August 31, 2004

Revised: March 31, 2005

Published: August 2005

Abstract Related Papers Cited by

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 Poincaré surface-of-section technique to perform the reduction a four-vortex system on a sphere.

Keywords:

Mathematics Subject Classification: 37N10, 76B47.

Citation:

Article Metrics

HTML views() PDF downloads(64) Cited by(0)

Reduction and chaotic behavior of point vortices on a plane and a sphere

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Reduction and chaotic behavior of point vortices on a plane and a sphere

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content