Geodesic
The dynamics of three vortex sources
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 3, pp. 319-327

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In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.
Keywords: integrability, shape sphere, reduction, homothetic configurations.
Mots-clés : vortex sources 
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     title = {The dynamics of three vortex sources},
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}
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Ivan A. Bizyaev; Alexey V. Borisov; Ivan S. Mamaev. The dynamics of three vortex sources. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 3, pp. 319-327. http://geodesic.mathdoc.fr/item/ND_2014_10_3_a5/