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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive
Dal'nevost. Mat. Zh., 2010 Volume 10, Number 2, Pages 106–116 (Mi dvmg63)
A study of relative equilibria of three vortices

A. I. Gudimenko, A. D. Zakharenko

Pacific Oceanological Institute of the Far Eastern Branch of RAS

Abstract: The positions of relative equilibrium of three point vortices on the unbounded plain according to their type and stability are fully classified.

Key words: point vortices, relative equilibria, stability, algebraic reduction.

UDC: 517.928, 532.517.43, 532.527

MSC: Primary 37N10; Secondary 76B47

Received: 11.02.2010


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