摘要
In this article, we investigate the dynamical properties of fλ（z） =λzke2, for λ（≠0） ∈Cand k≥2. We will show that the boundaries of some （or all ） Fatou components are Jordan curves and the Julia sets are Sierpinski carpet, and they are locally connected for some certain λ.
In this article,we investigate the dynamical properties of fλ(z)=λzkez,for λ(≠0)∈C and k≥2.We will show that the boundaries of some (or all) Fatou components are Jordan curves and the Julia sets are Sierpinski carpet,and they are locally connected for some certain λ.
基金
National Natural Science Foundation of China(No.10871089)
