Perturbed basins of attraction

被引：9

作者：

Peters, Han ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

MATHEMATISCHE ANNALEN | 2007年 / 337卷 / 01期

关键词：

D O I：

10.1007/s00208-005-0739-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be an automorphism of C-k which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C-k. We will show that the basin of attraction of a sequence of automorphisms f(1), f(2), . . . is also biholomorphic to C-k if every f(n) is a small perturbation of the original map F.

引用

页码：1 / 13

页数：13

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