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The period for a Quasiperiodic trajectory to pass through the same point in a Surface of Section. If the rotation number is Irrational, the trajectory will densely fill out a curve in the Surface of Section. If the rotation number is Rational, it is called the Winding Number, and only a finite number of points in the Surface of Section will be visited by the trajectory.
See also Quasiperiodic Function, Surface of Section, Winding Number (Map)