16 citations · 44 across the 12 of their papers we have counts for
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math.DS2017★ 12 cited
Symmetries and choreographies in families bifurcating from the polygonal relative equilibrium of the -body problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We use numerical continuation and bifurcation techniques in a boundary value setting to follow Lyapunov families of periodic orbits. These arise from the polygonal system of bo…
math.AP2017★ 4 cited
Bifurcations of multi-vortex configurations in rotating Bose--Einstein condensates
C. García-Azpeitia, D. E. Pelinovsky
We analyze global bifurcations along the family of radially symmetric vortices in the Gross--Pitaevskii equation with a symmetric harmonic potential and a chemical potential un…