P. E. Ryabov, S. V. Sokolov, “Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate”, Rus. J. Nonlin. Dyn., 2019, том 15, номер 1,страницы 59

Эта публикация цитируется в 9 статьях

Nonlinear physics and mechanics

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

P. E. Ryabov^abc, S. V. Sokolov^db

^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

Аннотация: 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.

Ключевые слова: Vortex dynamics, Bose – Einstein condensate, completely integrable Hamiltonian systems, bifurcation diagram of momentum mapping, bifurcations of Liouville tori.

MSC: 76M23, 37J35, 37J05, 34A05

Поступила в редакцию: 31.12.2018
Принята в печать: 13.02.2019

Язык публикации: английский

DOI: 10.20537/nd190106