On the global stable manifold

被引：8

作者：

Abbondandolo, Alberto ^{[1
]}

Majer, Pietro ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

STUDIA MATHEMATICA | 2006年 / 177卷 / 02期

关键词：

stable manifold theorem; Banach manifold; hyperbolic fixed point; attractor;

D O I：

10.4064/sm177-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.

引用

页码：113 / 131

页数：19

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