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Using polar coordinates, create a system with a fixed point at the origin, and with infinitely many periodic orbits which alternate between clockwise and counterclockwise flows.

locked by Anton Geraschenko♦♦ Apr 6 2011 at 6:28

closed as too localized by Daniel Litt, Andres Caicedo, fedja, Andy Putman, Zev Chonoles Apr 5 2011 at 3:00

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