Bifurcation Analysis of the Dynamics of Two Vortices in a Bose–Einstein Condensate. The Case of Intensities of Opposite Signs


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Аннотация

This paper is concerned with a system two point vortices in a Bose–Einstein condensate enclosed in a trap. The Hamiltonian form of equations of motion is presented and its Liouville integrability is shown. A bifurcation diagram is constructed, analysis of bifurcations of Liouville tori is carried out for the case of opposite-signed vortices, and the types of critical motions are identified.

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Sergei Sokolov

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

Хат алмасуға жауапты Автор.
Email: sokolovsv72@mail.ru
Ресей, Institutskiy per. 9, Dolgoprudny, Moscow Region, 141701; Maly Kharitonyevsky per. 4, Moscow, 101990

Pavel Ryabov

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

Email: sokolovsv72@mail.ru
Ресей, Maly Kharitonyevsky per. 4, Moscow, 101990; Leningradsky prosp. 49, Moscow, 125993; ul. Universitetskaya 1, Izhevsk, 426034

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