On the Dynamics of the Singularly Perturbed Rational Maps

作     者：Lian Rong DING 

作者机构：Institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2010年第26卷第2期

页      面：265-276页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

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

主　　题：Julia set Sierpinski curve bifurcation locus 

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.