Bifurcation Diagram of the Two Vortices in a Bose–Einstein Condensate with Intensities of the Same Signs


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This paper deals with the problem of motion of a system of two point vortices in a Bose–Einstein condensate enclosed in a cylindrical trap. Bifurcation diagram is analytically determined for the intensities of one sign and bifurcations of Liouville tori are investigated. We obtain explicit formulas for determining the type of critical trajectories, which allow us to investigate the stability of the obtained solutions.

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S. Sokolov

Moscow Institute of Physics and Technology (State University); Institute of Machines Science

编辑信件的主要联系方式.
Email: sokolovsv72@mail.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141701; Moscow, 101990

P. Ryabov

Institute of Machines Science; Financial University under the Government of the Russian Federation; Udmurt State University

Email: sokolovsv72@mail.ru
俄罗斯联邦, Moscow, 101990; Moscow, 125993; Izhevsk, 426034

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