NUMERICAL COMPUTATION OF SYMMETRY-BREAKING BIFURCATION POINTS

被引：4

作者：

ATTILI, BS

机构：

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1993年 / 35卷

关键词：

D O I：

10.1017/S0334270000007293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider symmetry-breaking bifurcation points which arise in parameter-dependent nonlinear equations of the form f (x,lambda) = 0. These types of bifurcation points are connected to pitchfork bifurcation points. A direct method is used to compute such points. Multiple shooting is used to discretise the two-point boundary-value problems to obtain a finite-dimensional problem.

引用

页码：103 / 113

页数：11

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