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Herman ring

The Julia set of the cubic rational function e2πitz2(z−4)/(1−4z) with t=.6151732... chosen so that the rotation number is (√5−1)/2, which has a Herman ring (shaded).

In the mathematical discipline known as complex dynamics, the Herman ring is a Fatou component[1] where the rational function is conformally conjugate to an irrational rotation of the standard annulus.

  1. ^ John Milnor, Dynamics in one complex variable: Third Edition, Annals of Mathematics Studies, 160, Princeton Univ. Press, Princeton, NJ, 2006.

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