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Dokl. Akad. Nauk, 2018, Volume 480, Number 6, Pages 652–656 (Mi dan47144)  

Bifurcation diagram of the two vortices in a Bose–Einstein condensate with intensities of the same signs

S. V. Sokolova, P. E. Ryabovbc

a Federal state unitary enterprise "All-russian scientific-research institute of mineral resources named after N. M. Fedorovsky", Moscow
b Financial University under the Government of the Russian Federation
c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

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.

DOI: https://doi.org/10.7868/S0869565218180044


English version:
Doklady Mathematics, 2018, 97:3, 286–290

Bibliographic databases:

UDC: 532.5.031, 517.938.5

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