This article is cited in 1 paper

A Qualitative Analysis of a Joint Dynamics of Kirchhoff and a Point Vortices

V. G. Lebedev

Physical Faculty, Department of Theoretical Physics, Udmurt State University, Universitetskaya, 1, Izhevsk, 426034

Abstract: The integrable problem of a joint motion of a point vortex and the Kirchhoff one is considered. The reduction of the system is carried out in algebraic variables. The phase portrait of the system is constructed, the points of relative equilibrium are investigated. The solutions relevant to elliptic fixed points are found in absolute coordinates. Nonintegrability of interaction of a vortex spot with two point vortices is proved for the restricted problem.

MSC: 76C05

Received: 21.08.1999

Language: English

DOI: 10.1070/RD1999v004n03ABEH000119

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