The flow of a DAE near a singular equilibrium

被引：20

作者：

Beardmore, RE

Laister, R

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Univ W England, Sch Math Sci, Bristol BS16 1QY, Avon, England

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2002年 / 24卷 / 01期

关键词：

Lipschitz solutions; nonhyperbolic equilibrium; quasi-invariant manifolds;

D O I：

10.1137/S0895479800378660

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the differential- algebraic equation ( DAE) taxonomy by assuming that the linearization of a DAE about a singular equilibrium has a particular index- 2 Kronecker normal form. A Lyapunov Schmidt procedure is used to reduce the DAE to a quasilinear normal form which is shown to posses quasi- invariant manifolds which intersect the singularity. In turn, this provides solutions of the DAE which pass through the singularity.

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页码：106 / 120

页数：15

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