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Bifurcation Diagram of the Two Vortices in a Bose–Einstein Condensate with Intensities of the Same Signs

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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.

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Correspondence to S. V. Sokolov.

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Original Russian Text © S.V. Sokolov, P.E. Ryabov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 480, No. 6, pp. 652–656.

The article was translated by the authors.

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Sokolov, S.V., Ryabov, P.E. Bifurcation Diagram of the Two Vortices in a Bose–Einstein Condensate with Intensities of the Same Signs. Dokl. Math. 97, 286–290 (2018). https://doi.org/10.1134/S1064562418030249

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  • DOI: https://doi.org/10.1134/S1064562418030249

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