Dynamics of three vortices on a plane and a sphere - II. General compact case

Abstract

Integrable problem of three vorteces on a plane and sphere are considered. The classification of Poisson structures is carried out. We accomplish the bifurcational analysis using the variables introduced in previous part of the work.

22 pages, 11 figures

References in corpus (1)

• Dynamics and statics of vortices on a plane and a sphere - I

Cited by in corpus (1)

• Lie algebras in vortex dynamics and celestial mechanics - IV