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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2016 Volume 21, Issue 3, Pages 249–253 (Mi rcd76)

This article is cited in 2 papers

Point Vortex Equilibria Related to Bessel Polynomials

Kevin A. O'Neil

Department of Mathematics, The University of Tulsa, 800 Tucker Dr., Tulsa, OK, 74104, USA

Abstract: 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.

Keywords: point vortex, equilibrium, polynomial method.

MSC: 76B47, 37F10, 34M15

Received: 20.01.2016
Accepted: 23.03.2016

Language: English

DOI: 10.1134/S1560354716030011



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