Nonlinear physics and mechanics
Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
P. E. Ryabovabc, S. V. Sokolovdb
a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Machines Science, Russian Academy of Sciences, Maly Kharitonyevsky per. 4, Moscow, 101990 Russia
c Financial University under the Government of the Russian Federation, Leningradsky prosp. 49, Moscow, 125993 Russia
d Moscow Institute of Physics and Technology (State University), Institutskiy per. 9, Dolgoprudny, Moscow Region, 141701 Russia
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.
Vortex dynamics, Bose – Einstein condensate, completely integrable Hamiltonian systems, bifurcation diagram of momentum mapping, bifurcations of Liouville tori
|Ministry of Education and Science of the Russian Federation
|Russian Foundation for Basic Research
|The work of S.V. Sokolov (Sections 1, 2) was carried out at MIPT under project 5–100 for state support for leading universities of the Russian Federation and also partially support by RFBR grants 16-01-00809, 18-01-00335 and 18-29-10051. The work of P.E.Ryabov (Sections 3, 4) was supported by RFBR grants 16-01-00170 and 17-01-00846 and was carried out within the framework of the state assignment of the Ministry of Education and Science of Russia (1.2404.2017/4.6).
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MSC: 76M23, 37J35, 37J05, 34A05
P. E. Ryabov, S. V. Sokolov, “Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate”, Nelin. Dinam., 15:1 (2019), 59–66
Citation in format AMSBIB
\by P. E. Ryabov, S. V. Sokolov
\paper Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
\jour Nelin. Dinam.
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