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, vortex sources, shape sphere, reduction, homothetic configurations
Citation:
Bizyaev I. A., Borisov A. V., Mamaev I. S., The Dynamics of Three Vortex Sources, Regular and Chaotic Dynamics,
2014, Volume 19, Number 6,
pp. 694-701