On the Dynamics of the Singularly Perturbed Rational Maps  

作　　者：Lian Rong DING 

机构地区：[1]Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第2期265-276,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10125103);the NBRP of China

摘　　要：In this paper, we study the dynamics of the family of rational maps fλ,（z） = zn - λ/zm, n ≥2, m ≥ 1,λ ∈ C. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of fλ.In this paper, we study the dynamics of the family of rational maps fλ,（z） = zn - λ/zm, n ≥2, m ≥ 1,λ ∈ C. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of fλ.

关 键 词：Julia set Sierpinski curve bifurcation locus 

分 类 号：O313[理学—一般力学与力学基础] O175.8[理学—力学]