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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2008 Volume 4, Number 4, Pages 429–441 (Mi nd247)

This article is cited in 4 papers

Dynamics of perturbed singular configuration of three point vortices

A. I. Gudimenko

V. I. Il'ichev Pacific Oceanological Institute of the Far Eastern Branch of RAS

Abstract: Motion of three point vortices in a perturbed singular configuration is studied numerically and analytically. Several cases of the motion are analyzed according to location of the vorticity center to the orbit of one of the vortices. For each of these cases the trajectories of vortices are calculated.

Keywords: point vortices, asymptotic behavior.

UDC: 517.928 532.517.43 532.527

MSC: 37N10, 37D45, 76B47, 76E20, 76U05

Received: 25.07.2008



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