Geodesic
Bifurcation Analysis of the Motion of a Cylinder and a Point Vortex in an Ideal Fluid
Matematičeskie zametki, Tome 99 (2016) no. 6, pp. 848-854.

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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.
Keywords: Hamiltonian system, integrability
Mots-clés : bifurcation complex. 
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A. V. Borisov; P. E. Ryabov; S. V. Sokolov. Bifurcation Analysis of the Motion of a Cylinder and a Point Vortex in an Ideal Fluid. Matematičeskie zametki, Tome 99 (2016) no. 6, pp. 848-854. http://geodesic.mathdoc.fr/item/MZM_2016_99_6_a3/

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