Local connectivity of Julia sets for a family of biquadratic polynomials  

作　　者：Jing L~(1+) Wei-yuan QIU~2 ~1 Department of Basic Education,Shanghai Maritime University,Shanghai 200000,China ~2 Department of Mathematics,Fudan University,Shanghai 200433,China 

出　　处：《Science China Mathematics》2007年第10期1477-1492,共16页中国科学：数学（英文版）

基　　金：This work was partially supported by the National Natural Science Foundation of China(Grant No.10571028)

摘　　要：The local connectivity of Julia sets for the family of biquadratic polynomials f_c(z)= (z^2-2c^2)z^2 with a parameter c is discussed.It is proved that for any parameter c,the boundary of the immediately attracting domain of f_c is a Jordan curve.

关 键 词：biquadratic polynomials Julia sets local connectivity 

分 类 号：O174.14[理学—数学]