Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate

    Received 31 December 2018; accepted 13 February 2019

    2019, Vol. 15, no. 1, pp.  59-66

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

    A completely Liouville integrable Hamiltonian system with two degrees of freedom describing the dynamics of two vortex filaments in a Bose – Einstein condensate enclosed in a cylindrical trap is considered. For the system of two vortices with identical intensities a bifurcation of three Liouville tori into one is detected. Such a bifurcation is found in the integrable case of Goryachev – Chaplygin – Sretensky in rigid body dynamics.
    Keywords: Vortex dynamics, Bose – Einstein condensate, completely integrable Hamiltonian systems, bifurcation diagram of momentum mapping, bifurcations of Liouville tori
    Citation: Ryabov P. E., Sokolov S. V., Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 1, pp.  59-66
    DOI:10.20537/nd190106


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