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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 8, Pages 976–995
DOI: https://doi.org/10.1134/S1560354717080068 (Mi rcd303) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

Sergei V. Sokolovab, Pavel E. Ryabovacd

a Institute of Machines Science, Russian Academy of Sciences, Maly Kharitonyevsky per. 4, Moscow, 101990 Russia
b Moscow Institute of Physics and Technology (State University), Institutskiy per. 9, Dolgoprudny, Moscow Region, 141701 Russia
c Financial University under the Government of the Russian Federation, Leningradsky prosp. 49, Moscow, 125993 Russia
d Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (12)
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DOI: https://doi.org/10.1134/S1560354717080068
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.
Keywords: integrable Hamiltonian systems, Bose – Einstein condensate, point vortices, bifurcation analysis.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 16-01-00809
16-01-00170
17-01-00846-a
The work of S.V. Sokolov (Sections 1–6) was carried out at MIPT under project 5–100 for state support for leading universities of the Russian Federation and also partially support by RFBR grants 16-01-00809. The work of P.E.Ryabov (Sections 4–6) was supported by RFBR grants 16-01-00170 and 17-01-00846-a.
Received: 15.09.2017
Accepted: 27.11.2017
Bibliographic databases:
Document Type: Article
MSC: 70E05, 70E17, 37J35, 34A05
Language: English
Citation: Sergei V. Sokolov, Pavel E. Ryabov, “Bifurcation Analysis of the Dynamics of Two Vortices in a Bose – Einstein Condensate. The Case of Intensities of Opposite Signs”, Regul. Chaotic Dyn., 22:8 (2017), 976–995
Citation in format AMSBIB
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\by Sergei V. Sokolov, Pavel E. Ryabov
\paper Bifurcation Analysis of the Dynamics of Two Vortices in a Bose – Einstein Condensate. The Case of Intensities of Opposite Signs
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 8
\pages 976--995
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\crossref{https://doi.org/10.1134/S1560354717080068}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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