Geodesic
Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 1, pp. 59-66

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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
Mots-clés : bifurcations of Liouville tori. 
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     author = {P. E. Ryabov and S. V. Sokolov},
     title = {Phase {Topology} of {Two} {Vortices} of {Identical} {Intensities} in a {Bose} {\textendash} {Einstein} {Condensate}},
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P. E. Ryabov; S. V. Sokolov. Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 1, pp. 59-66. http://geodesic.mathdoc.fr/item/ND_2019_15_1_a5/