Bifurcations of Liouville Tori in a System of Two Vortices of Positive Intensity in a Bose–Einstein Condensate
- Autores: Ryabov P.1,2,3
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Afiliações:
- Financial University under the Government of the Russian Federation
- Institute of Machines Science, Russian Academy of Sciences
- Udmurt State University
- Edição: Volume 99, Nº 2 (2019)
- Páginas: 225-229
- Seção: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225664
- DOI: https://doi.org/10.1134/S1064562419020364
- ID: 225664
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Resumo
A completely Liouville integrable Hamiltonian system with two degrees of freedom that describes the dynamics of two vortex filaments in a Bose–Einstein condensate enclosed in a harmonic trap is considered. For a pair of vortices of positive intensity, a bifurcation of three Liouville tori into a single one is detected. Such a bifurcation was previously found in the Goryachev–Chaplygin–Sretensky integrable case in rigid body dynamics. For an integrable perturbation of the intensity ratio parameter, the identified bifurcation proves to be unstable, which leads to bifurcations of the type of two tori into one and vice versa.
Sobre autores
P. Ryabov
Financial University under the Governmentof the Russian Federation; Institute of Machines Science, Russian Academy of Sciences; Udmurt State University
Autor responsável pela correspondência
Email: peryabov@fa.ru
Rússia, Moscow, 125993; Moscow, 119334; Izhevsk, 426034