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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Special Issue: 200th birthday of Hermann von Helmholtz
Dynamics of a Circular Cylinder and Two Point Vortices
in a Perfect Fluid
Sergey M. Ramodanova, Sergey V. Sokolovb a Financial University under the Government of the Russian Federation,
Department of Data Analysis and Machine Learning,
4th Veshnyakowski pr. 4, 125993 Moscow, Russia
b Moscow Institute of Physics and Technology (State University),
Institutskiy per. 9, Dolgoprudny, 141701 Moscow, Russia
Аннотация:
We study a mechanical system that consists of a 2D rigid body interacting
dynamically with two point vortices in an unbounded volume of an incompressible, otherwise
vortex-free, perfect fluid. The system has four degrees of freedom. The governing equations can
be written in Hamiltonian form, are invariant under the action of the group $E(2)$ and thus, in
addition to the Hamiltonian function, admit three integrals of motion. Under certain restrictions
imposed on the system’s parameters these integrals are in involution, thus rendering the system
integrable (its order can be reduced by three degrees of freedom) and allowing for an analytical
analysis of the dynamics.
Ключевые слова:
point vortices, Hamiltonian systems, reduction.
Поступила в редакцию: 05.08.2021 Принята в печать: 03.11.2021
Образец цитирования:
Sergey M. Ramodanov, Sergey V. Sokolov
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1138
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