ASYMPTOTIC-BEHAVIOR OF STABLE MANIFOLDS

被引：10

作者：

FECKAN, M

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 02期

关键词：

D O I：

10.2307/2048352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relation between local stable manifolds of an ordinary differential equation and its discretization is studied. We show that a local stable manifold of a hyperbolic fixed point of an ordinary differential equation is the limit of local stable manifolds of the same fixed point of its discretizations as the discretization parameter h > 0 approaches 0.

引用

页码：585 / 593

页数：9

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