Email this article Bifurcation Analysis of the Dynamics of Two Vortices in a Bose–Einstein Condensate. The Case of Intensities of Opposite Signs
- Authors: Sokolov S.V.1,2, Ryabov P.E.2,3,4
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Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Institute of Machines Science
- Financial University under the Government of the Russian Federation
- Udmurt State University
- Issue: Vol 22, No 8 (2017)
- Pages: 976-995
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218854
- DOI: https://doi.org/10.1134/S1560354717080068
- ID: 218854
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Abstract
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.
About the authors
Sergei V. Sokolov
Moscow Institute of Physics and Technology (State University); Institute of Machines Science
Author for correspondence.
Email: sokolovsv72@mail.ru
Russian Federation, Institutskiy per. 9, Dolgoprudny, Moscow Region, 141701; Maly Kharitonyevsky per. 4, Moscow, 101990
Pavel E. Ryabov
Institute of Machines Science; Financial University under the Government of the Russian Federation; Udmurt State University
Email: sokolovsv72@mail.ru
Russian Federation, Maly Kharitonyevsky per. 4, Moscow, 101990; Leningradsky prosp. 49, Moscow, 125993; ul. Universitetskaya 1, Izhevsk, 426034
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