## What is/are Siegel Disks?

Siegel Disks - We study Siegel disks in the dynamics of functions from the tangent family.^{[1]}We prove the existence of Siegel disks with smooth boundaries in most families of holomorphic maps fixing the origin.

^{[2]}We show that Siegel disks of the dynamical system may either coincide or be disjoint for different fixed points.

^{[3]}(Renormalization and Siegel disks for complex Henon maps, [12]), golden-mean Siegel disks of sufficiently dissipative complex quadratic Henon maps are bounded by topological circles.

^{[4]}