The dynamics of three vortex sources
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.
Keywordsintegrability vortex sources shape sphere reduction homothetic configurations
MSC2010 numbers37N05 76M23
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