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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 6, Pages 713–732
DOI: https://doi.org/10.1134/S1560354722060089
(Mi rcd1189)
 

This article is cited in 2 scientific papers (total in 2 papers)

Alexey Borisov Memorial Volume

Dynamics of Two Vortex Rings in a Bose – Einstein Condensate

Elizaveta M. Artemovaa, Alexander A. Kilinab

a Ural Mathematical Center, Udmurt State University, ul. Universitetskaya 1, 426034 Izhevsk, Russia
b Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S. Kovalevskoi 16, 620990 Ekaterinburg, Russia
Citations (2)
References:
Abstract: In this paper, we consider the dynamics of two interacting point vortex rings in a Bose – Einstein condensate. The existence of an invariant manifold corresponding to vortex rings is proved. Equations of motion on this invariant manifold are obtained for an arbitrary number of rings from an arbitrary number of vortices. A detailed analysis is made of the case of two vortex rings each of which consists of two point vortices where all vortices have same topological charge. For this case, partial solutions are found and a complete bifurcation analysis is carried out. It is shown that, depending on the parameters of the Bose – Einstein condensate, there are three different types of bifurcation diagrams. For each type, typical phase portraits are presented.
Keywords: Bose – Einstein condensate, point vortices, vortex rings, bifurcation analysis.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-88
FEWS-2020-000
The work of A. A. Kilin (Sections 1–5) was performed at the Ural Mathematical Center (Agreement No. 075-02-2022-889). This work of E. M. Artemova (Section 6) was supported by the framework of the state assignment or the Ministry of Science and Higher Education (No. FEWS- 2020-0009) and was supported in part by the Moebius Contest Foundation for Young Scientists.
Received: 15.08.2022
Accepted: 17.10.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: Elizaveta M. Artemova, Alexander A. Kilin, “Dynamics of Two Vortex Rings in a Bose – Einstein Condensate”, Regul. Chaotic Dyn., 27:6 (2022), 713–732
Citation in format AMSBIB
\Bibitem{ArtKil22}
\by Elizaveta M. Artemova, Alexander A. Kilin
\paper Dynamics of Two Vortex Rings in a Bose – Einstein Condensate
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 6
\pages 713--732
\mathnet{http://mi.mathnet.ru/rcd1189}
\crossref{https://doi.org/10.1134/S1560354722060089}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4519675}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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