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

    2017, Volume 22, Number 8, pp.  976–995

    Author(s): Sokolov S. V., Ryabov P. E.

    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
    Citation: Sokolov S. V., Ryabov P. E., Bifurcation Analysis of the Dynamics of Two Vortices in a Bose – Einstein Condensate. The Case of Intensities of Opposite Signs, Regular and Chaotic Dynamics, 2017, Volume 22, Number 8, pp. 976–995
    DOI: 10.1134/S1560354717080068



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