Point vortex equilibria related to Bessel polynomials

The method of polynomials is used to construct two families of stationary point vortex configurations. The vortices are placed at the reciprocals of the zeroes of Bessel polynomials. Configurations that translate uniformly, and configurations that are completely stationary, are obtained in this way.

Saved in:
Bibliographic Details
Published in:Regular & chaotic dynamics 2016-05, Vol.21 (3), p.249-253
Main Author: O’Neil, Kevin A.
Format: Article
Language:English
Subjects:
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The method of polynomials is used to construct two families of stationary point vortex configurations. The vortices are placed at the reciprocals of the zeroes of Bessel polynomials. Configurations that translate uniformly, and configurations that are completely stationary, are obtained in this way.
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S1560354716030011