Geodesic
Dynamics of perturbed singular configuration of three point vortices
Russian journal of nonlinear dynamics, Tome 4 (2008) no. 4, pp. 429-441.

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Motion of three point vortices in a perturbed singular configuration is studied numerically and analytically. Several cases of the motion are analyzed according to location of the vorticity center to the orbit of one of the vortices. For each of these cases the trajectories of vortices are calculated.
Keywords: point vortices, asymptotic behavior. 
@article{ND_2008_4_4_a3,
     author = {A. I. Gudimenko},
     title = {Dynamics of perturbed singular configuration of three point vortices},
     journal = {Russian journal of nonlinear dynamics},
     pages = {429--441},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2008_4_4_a3/}
}
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A. I. Gudimenko. Dynamics of perturbed singular configuration of three point vortices. Russian journal of nonlinear dynamics, Tome 4 (2008) no. 4, pp. 429-441. http://geodesic.mathdoc.fr/item/ND_2008_4_4_a3/