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On PZ type Siegel disks of the sine family
Published online by Cambridge University Press: 10 November 2014
Abstract
We prove that for typical rotation numbers $0<{\it\theta}<1$, the boundary of the Siegel disk of
$f_{{\it\theta}}(z)=e^{2{\it\pi}i{\it\theta}}\sin (z)$ centered at the origin is a Jordan curve which passes through exactly two critical points
${\it\pi}/2$ and
$-{\it\pi}/2$.
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- Research Article
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- © Cambridge University Press, 2014
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