ITERATES OF MEROMORPHIC FUNCTIONS III - PREPERIODIC DOMAINS

被引:79
作者
BAKER, IN
KOTUS, J
YINIAN, L
机构
[1] Department of Mathematics, Imperial College, London
[2] Institute of Mathematics, Technical University of Warsaw
[3] Institute of Mathematics, Academia Sinica, Beijing
关键词
D O I
10.1017/S0143385700006386
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper discusses the connectivity of periodic and preperiodic domains in the stable set in, the iteration of a meromorphic function. The connectivity of an invariant component has one of the values 1, 2, infinity. Examples are constructed to show that the connectivity of a preperiodic component may take any value.
引用
收藏
页码:603 / 618
页数:16
相关论文
共 27 条
[1]  
Baker I.N., Shankar H., Mathematical Essays Dedicated to A. J. Macintyre, pp. 33-35, (1970)
[2]  
Baker I.N., Wandering domains in the iteration of entire functions, Proc. London Math. Soc., 49, 3, pp. 563-576, (1984)
[3]  
Baker I.N., Wandering domains for analytic maps of the punctured plane, Ann. Acad. Sci., 12, pp. 191-198, (1987)
[4]  
Baker I.N., Chuang C.T., Iteration of Entire Functions: An Introductory Survey, Lectures on Complex Analysis, pp. 1-17, (1988)
[5]  
Baker I.N., Kotus J., Yinian L.F.C., Iterates of meromorphic functions I, Ergod. Th. & Dynam. Sys., 11, 2, pp. 241-248, (1991)
[6]  
Baker I.N., Kotus J., Yinian L.F.C., Iterates of meromorphic functions II, J. London Math. Soc., 4, 2, pp. 267-278, (1990)
[7]  
Bhattacharyya P., (1969)
[8]  
Coddington E., Levinson N., Theory of Ordinary Differential Equations, (1955)
[9]  
Cornfeld I.P., Fomin S.V., Sinai Ya.G., Ergodic Theory, (1982)
[10]  
Devaney R.L., Keen L., Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative, Ann. Scient. Ec. Norm. Sup., 22, 4, pp. 55-79, (1989)