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Transition to instability of the leapfrogging vortex quartet
We show via analytical perturbation theory that the leapfrogging vortex quartet becomes unstable exactly at the critical ratio $\alpha= \phi^{-2}.$
Roy Goodman
,
Brandon Behring
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arXiv
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as
leapfrogging
orbits. …
Brandon Behring
,
Roy Goodman
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arXiv
Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates
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 …
Roy Goodman
,
Panos Kevrekidis
,
Ricardo Carretero Gónzalez
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