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.
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页码：103 / 113
页数：11
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