On the Dynamics of the Singularly Perturbed Rational Maps
On the Dynamics of the Singularly Perturbed Rational Maps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.