Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid
- Авторы: Borisov A.V.1,2, Ryabov P.E.3,4, Sokolov S.V.3,4
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Учреждения:
- Udmurt State University
- Kalashnikov Izhevsk State Technical University
- Moscow Institute of Physics and Technology (State University)
- Blagonravov Institute for Machine Science
- Выпуск: Том 99, № 5-6 (2016)
- Страницы: 834-839
- Раздел: Short Communications
- URL: https://journals.rcsi.science/0001-4346/article/view/149439
- DOI: https://doi.org/10.1134/S0001434616050217
- ID: 149439
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Аннотация
We consider an integrable Hamiltonian system describing the motion of a circular cylinder and a vortex filament in an ideal fluid. We construct bifurcation diagrams and bifurcation complexes for the case in which the integral manifold is compact and for various topological structures of the symplectic leaf. The types of motions corresponding to the bifurcation curves and their stability are discussed.
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Об авторах
A. Borisov
Udmurt State University; Kalashnikov Izhevsk State Technical University
Автор, ответственный за переписку.
Email: borisov@rcd.ru
Россия, Izhevsk; Izhevsk
P. Ryabov
Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science
Email: borisov@rcd.ru
Россия, Dolgoprudny, Moscow oblast; Moscow
S. Sokolov
Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science
Email: borisov@rcd.ru
Россия, Dolgoprudny, Moscow oblast; Moscow
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