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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2010 Volume 6, Number 2, Pages 307–326 (Mi nd41)

This article is cited in 2 papers

Qualitative analysis of relative motion of three vortices

A. I. Gudimenko, A. D. Zakharenko

Pacific Oceanological Institute of the Far Eastern Branch of RAS

Abstract: Qualitative structure of relative motion of three point vortices on the unbounded plain is studied. A classification of phase portraits is proposed.

Keywords: point vortices, relative equilibria, stability, algebraic reduction.

UDC: 517.928, 532.517.43, 532.527

MSC: 37N10, 76B47

Received: 23.02.2010



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