A. V. Borisov, V. G. Lebedev, “Dynamics of three vortices on a plane and a sphere — II. General compact case”, Regul. Chaotic Dyn., 1998, Volume 3, Issue 2,Pages <nobr>99

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

A. V. Borisov^a, V. G. Lebedev^b

^a Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorob'ievy gory, Moscow, Russia, 119899
^b Physical Faculty, Department of Theoretical Physics, Udmurt State University, Universitetskaya, 1, Izhevsk, Russia, 426034

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.

MSC: 76C05

Received: 15.08.1998

Language: English

DOI: 10.1070/RD1998v003n02ABEH000075