ASYMPTOTIC DECOMPOSITION OF LINEAR SINGULARLY PERTURBED MULTISCALE SYSTEMS

被引：2

作者：

Cherevko, I. ^{[1
]}

Osypova, O. ^{[1
]}

机构：

[1] Yuriy Fedkovych Chernivtsi Natl Univ, DMI, 2 Kotsubinsky Str, UA-58012 Chernovtsy, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 02期

关键词：

linear singularly perturbed systems; decomposition; asymptotic decomposition; integral manifolds; PERTURBATIONS; SCALES;

D O I：

10.18514/MMN.2015.1627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a scheme which decomposes a singularly perturbed linear system with several small parameters into a block-diagonal form. The algorithm of the scheme contains k steps of a successive splitting based on the integral manifold of quick and slow variables method. The splitting substitution is defined constructively in the form of expansions by powers of small parameters.

引用

页码：729 / 745

页数：17

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