On PZ type Siegel disks of the sine family
Copyright policy )On PZ type Siegel disks of the sine family
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 $-{\it\pi}/2$.
- Nanjing University China (People's Republic of)
- Nanjing University China (People's Republic of)
Siegel disk, Jordan curve, Quasiconformal mappings in the complex plane, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, rotation number
Siegel disk, Jordan curve, Quasiconformal mappings in the complex plane, Small divisors, rotation domains and linearization in holomorphic dynamics, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, rotation number
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