2016/04/24 by Gaidashev, Denis, Radu, Remus, Yampolsky, Michael
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.07069
We use hyperbolicity of golden-mean renormalization of dissipative Hénon-like maps to prove that the boundaries of Siegel disks of sufficiently dissipative quadratic complex Hénon maps with golden-mean rotation number are topological circles. Conditionally on an appropriate renormalization hyperbolicity property, we derive the same result for Siegel disks of Hénon maps with all eventually periodic rotation numbers.