Email this article Bifurcation Diagram of the Two Vortices in a Bose–Einstein Condensate with Intensities of the Same 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 97, No 3 (2018)
- Pages: 286-290
- Section: Mathematical Physics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225515
- DOI: https://doi.org/10.1134/S1064562418030249
- ID: 225515
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Abstract
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.
About the authors
S. V. Sokolov
Moscow Institute of Physics and Technology (State University); Institute of Machines Science
Author for correspondence.
Email: sokolovsv72@mail.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141701; Moscow, 101990
P. E. Ryabov
Institute of Machines Science; Financial University under the Government of the Russian Federation; Udmurt State University
Email: sokolovsv72@mail.ru
Russian Federation, Moscow, 101990; Moscow, 125993; Izhevsk, 426034
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