Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities

>Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, Γ1=Γ2=Γ3=1, and Γ4 is a real parameter. We give the exact number of relative equilibria and bifurcation values. We also study the relative equilibria in the vortex rhombus problem.

Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:1407.7151 [math-ph]

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