ON DETECTING STATIONARY BIFURCATIONS

被引：15

作者：

Seydel, R. ^{[1
]}

机构：

[1] Univ Ulm, Dept Numer Anal, D-7900 Ulm, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 02期

关键词：

D O I：

10.1142/S0218127491000257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Locating stationary bifurcations amounts to measuring the singularity of parameter-dependent Jacobian matrices. A well-known example of a measure of singularity is the determinant, requiring O(n) operations to calculate when a decomposition of the matrix is available. This paper discusses an alternative for the case of rank deficiency one. An algorithm will be based on elements of the inverse Jacobian. The alternative has useful scaling properties, providing estimates of a sensitivity analysis.

引用

页码：335 / 337

页数：3

共 9 条

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[2]

Cline A. K, 1983, SIAM J SCI STAT COMP, V4, P368

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