Taylor approximation of invariant fiber bundles for nonautonomous difference equations

被引：16
|
作者：
Pötzsche, C
Rasmussen, M
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Augsburg, Dept Math, D-86135 Augsburg, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 07期
关键词：
Taylor approximation; invariant manifold; nonautonomous difference equation; reduction principle;
D O I：
10.1016/j.na.2004.10.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Invariant fiber bundles generalize invariant manifolds to nonautonomous difference equations. In this paper we develop a method to calculate their Taylor approximation, which is of crucial importance, e.g. for an application of the reduction principle in a nonautonomous setting. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：1303 / 1330
页数：28
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