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arXiv · 1812.11749

Phase Topology of Two Vortices of the Identical Intensities in Bose-Einstein Condensate

Pavel E. Ryabov·Sergei V. Sokolov
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Abstract

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 detected bifurcation of three Liouville tori into one. Such a bifurcation was found in the integrable case of Goryachev-Chaplygin-Sretensky in the rigid body dynamics.

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Pavel E. Ryabov, Sergei V. Sokolov. 2018-12-31. Phase Topology of Two Vortices of the Identical Intensities in Bose-Einstein Condensate. https://arxiv.org/abs/1812.11749

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