Vortices

We show via analytical perturbation theory that the leapfrogging vortex quartet becomes unstable exactly at the critical ratio $\alpha= \phi^{-2}.$

We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as leapfrogging orbits. …

We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ordinary …