Singularly perturbed vector fields

被引：25

作者：

Bykov, V. ^{[1
]}

Goldfarb, I. ^{[2
]}

Gol'dshtein, V. ^{[2
]}

机构：

[1] Univ Karlsruhe, Inst Tech Thermodynam, Kaiserstr 12, D-7500 Karlsruhe, Germany

[2] Ben Gurion Univ Negev, Dept Mat, Beer Sheva, Israel

来源：

INTERNATIONAL WORKSHOP ON MULTI-RATE PROCESSES AND HYSTERESIS | 2006年 / 55卷

关键词：

D O I：

10.1088/1742-6596/55/1/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A geometrically invariant concept of singularly perturbed systems of ordinary differential equations (singularly perturbed vector fields) is proposed in this paper. Singularly perturbed vector fields can be represented locally as singularly perturbed systems (for corresponding coordinate system choice. The paper focuses on possible ways of fast and slow directions/manifolds evaluations. A special algorithm for the evaluation is proposed. The algorithm is called as a global quasi-linearization procedure. A practical application of the proposed algorithm for numerical simulations is the main issue of the paper.

引用

页码：28 / +

页数：3

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