Email this article Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid
- Authors: Borisov A.V.1,2, Ryabov P.E.3,4, Sokolov S.V.3,4
-
Affiliations:
- Udmurt State University
- Kalashnikov Izhevsk State Technical University
- Moscow Institute of Physics and Technology (State University)
- Blagonravov Institute for Machine Science
- Issue: Vol 99, No 5-6 (2016)
- Pages: 834-839
- Section: Short Communications
- URL: https://journals.rcsi.science/0001-4346/article/view/149439
- DOI: https://doi.org/10.1134/S0001434616050217
- ID: 149439
Cite item
Open Access
Access granted
Subscription Access
Abstract
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
About the authors
A. V. Borisov
Udmurt State University; Kalashnikov Izhevsk State Technical University
Author for correspondence.
Email: borisov@rcd.ru
Russian Federation, Izhevsk; Izhevsk
P. E. Ryabov
Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science
Email: borisov@rcd.ru
Russian Federation, Dolgoprudny, Moscow oblast; Moscow
S. V. Sokolov
Moscow Institute of Physics and Technology (State University); Blagonravov Institute for Machine Science
Email: borisov@rcd.ru
Russian Federation, Dolgoprudny, Moscow oblast; Moscow
Supplementary files
