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

DOI10.1134/S0001434616050217zbMath1404.37065MaRDI QIDQ325544

Alexey V. Borisov, Pavel E. Ryabov, Sergei V. Sokolov

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

integrabilityHamiltonian systembifurcation complex

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Vortex flows for incompressible inviscid fluids (76B47)

Related Items (8)

Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke ⋮ Bifurcation diagram of the two vortices in a Bose-Einstein condensate with intensities of the same signs ⋮ Bifurcation analysis of the dynamics of two vortices in a Bose-Einstein condensate. the case of intensities of opposite signs ⋮ Bifurcation diagram of one generalized integrable model of vortex dynamics ⋮ Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate ⋮ Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate ⋮ Qualitative analysis of the dynamics of a balanced circular foil and a vortex ⋮ Dynamics of a circular cylinder and two point vortices in a perfect fluid

Cites Work

• Unnamed Item
• Falling motion of a circular cylinder interacting dynamically with a point vortex
• Topological analysis of an integrable system related to the rolling of a ball on a sphere
• Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
• Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface
• An integrability of the problem on motion of cylinder and vortex in the ideal fluid
• Bifurcation analysis and the Conley index in mechanics
• Dynamics of a circular cylinder interacting with point vortices
• Bifurcation sets in an integrable problem on motion of a rigid body in fluid.
• The problem of two fixed centers: bifurcations, actions, monodromy
• Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya's method
• Dynamic interaction of point vortices and a two-dimensional cylinder
• Topology and stability of integrable systems
• Lie algebras in vortex dynamics and celestial mechanics. IV.

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