Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid


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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.

Sobre autores

A. Borisov

Udmurt State University; Kalashnikov Izhevsk State Technical University

Autor responsável pela correspondência
Email: borisov@rcd.ru
Rússia, Izhevsk; Izhevsk

P. Ryabov

Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science

Email: borisov@rcd.ru
Rússia, Dolgoprudny, Moscow oblast; Moscow

S. Sokolov

Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science

Email: borisov@rcd.ru
Rússia, Dolgoprudny, Moscow oblast; Moscow

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