On the non-escaping set of \(e^{2\pi i\theta} \sin (z)\)

DOI10.1007/s11856-008-1011-4zbMath1152.37018OpenAlexW2090641624MaRDI QIDQ940771

Gaofei Zhang

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1011-4

zbMATH Keywords

Julia setSiegel diskFatou setescaping set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Quadratic rational maps with a 2-cycle of Siegel disks ⋮ Topological characterisation of rational maps with Siegel disks

Cites Work

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• On the dynamics of \(e^{2 \pi i \theta} \sin (z)\)
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• The dynamics of rational transforms: the topological picture

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