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On the Dynamics of the Singularly Perturbed Rational Maps

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.

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