Degenerate Characteristic Directions for Maps Tangent to the Identity

被引：13

作者：

Vivas, Liz ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Dept Matemat Aplicada, Niteroi, RJ, Brazil

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2012年 / 61卷 / 06期

关键词：

DYNAMICS; INDEX;

D O I：

10.1512/iumj.2012.61.4809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F: (C-2,O) (C-2,O) be a holomorphic germ tangent to the identity. Assume F has a characteristic direction [v]. In [Hak], Hakim gives conditions to guarantee the existence of an attracting basin to the origin along [v], in the case of [v] a non-degenerate characteristic direction. In this paper, we give conditions to guarantee the existence of basins along [v] in the case of [v] a degenerate characteristic direction.

引用

页码：2019 / 2040

页数：22

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