2014/07/26 by Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:76F20 #msc:74F10
published as Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 22:189-209, November 2015 · 21 pages, 4 figures. arXiv admin note: text overlap with arXiv:1301.6194 by other authors
arxiv created 2014/07/26 · arxiv updated 2017/10/10
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.