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Classification of Stationary Configurations of Four Identical Point Vortices

Kim, Woojin
arXiv (OAI Expanded) · Papers
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dynamical-systems
We find and classify every stationary configuration of the system of four identical point vortices in the plane. Up to the natural symmetries of the system, there are exactly three configurations, which are relative equilibria: a square, a collinear configuration, and an equilateral triangle with a
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