This paper investigates the dynamics of a point vortex and a balanced circular foil
in an ideal fluid. An explicit reduction to quadratures is performed. A bifurcation diagram is
constructed and a classification of the types of integral manifolds is carried out. The stability
of critical solutions is studied in which the foil and the vortex move in a circle or in a straight
line.
Keywords:
point vortex, ideal fluid, bifurcation diagram, stability, relative equilibria
Citation:
Bizyaev I. A., Mamaev I. S., Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex, Regular and Chaotic Dynamics,
2021, Volume 26, Number 6,
pp. 658-674