Bifurcations of Multi-Vortex Configurations in Rotating Bose–Einstein Condensates

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 µ under the steady rotation with frequency Ω$${\Omega}$$. The families are constructed in the small-amplitude limit when the chemical potential µ is close to an eigenvalue of the Schrö