2 papers
math.DS2017
A criterion to generate carpet Julia sets
Fei Yang
It was known that the Sierpiński carpets can appear as the Julia sets in the families of some rational maps. In this article we present a criterion that guarantees the existence of…
math.DS2016
Singular perturbations with multiple poles of the simple polynomials
Yingqing Xiao, Fei Yang
In this article, we study the dynamics of the following family of rational maps with one parameter: \begin{equation*} f_λ(z)= z^n+\frac{λ^2}{z^n-λ}, \end{equation*} where …