Exponential Dichotomy for Asymptotically Hyperbolic Two-Dimensional Linear Systems

被引：3

作者：

Liu, Weishi ^{[1
]}

Van Vleck, Erik S. ^{[1
]}

机构：

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2010年 / 22卷 / 04期

关键词：

Exponential dichotomy; Sacker-Sell spectrum; QR methods; INVARIANT SPLITTINGS; LYAPUNOV EXPONENTS; EXISTENCE; EQUATIONS; ERROR; MANIFOLDS; WAVES;

D O I：

10.1007/s10884-010-9170-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of determining the existence of exponential dichotomy for a class of linear nonautonomous ODEs. An approach is explored that combines numerical techniques with rigorous perturbation theory. It is applicable to a given problem within the class we consider. Numerical results illustrate the utility of the approach.

引用

页码：697 / 722

页数：26

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