ALGORITHM FOR EVALUATION OF COMPLEX BIFURCATION POINTS IN ORDINARY DIFFERENTIAL-EQUATIONS

被引：12

作者：

KUBICEK, M

机构：

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1980年 / 38卷 / 01期

关键词：

D O I：

10.1137/0138008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A straightforward iteration technique is suggested for evaluation of Hopf's (complex) bifurcation points in ordinary differential equations. Newton method is used to solve resulting system of nonlinear equations. Evaluation of eigenvalues of the Jacobian matrix of the right-hand sides is not requested. Numerical results for a problem taken from chemical engineering are presented.

引用

页码：103 / 107

页数：5