2016/09/08 by Michael Yampolsky, Yampolsky, Michael, Jonguk Yang +1
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1609.02600
openalex publication_date 2016/09/08 · openalex created_date 2022/09/28 · openalex updated_date 2026/07/28
As was recently shown by the first author and others, golden-mean Siegel disks of sufficiently dissipative complex quadratic Hénon maps are bounded by topological circles. In this paper we investigate the geometric properties of such curves, and demonstrate that they cannot be C1-smooth.