Dynamics of Three Vortices on a Sphere
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This paper is concerned with the dynamics of vortices on a sphere. It is shown that, as a result of reduction, the problem reduces to investigating a system with a nonlinear Poisson bracket. The topology of a symplectic leaf in the case of three vortices is studied.
Keywordspoint vortices space of constant curvature nonlinear Poisson bracket reduction
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