摘要
讨论含单参数的常微分方程两点边值问题,用局部延拓方法跟踪求出正则的解枝,当解枝上遇到折叠点时,局部延拓方法不再有效,给出了结合多重打靶法的拟弧长延拓方法的具体算法,从而顺利通过了折叠点,计算出了整个解枝。
We study the computation of the solution branch of two - point boundary value problems of ODEs with one parameter. The multiple shooting method are used to compute the regular solution branch. The usual continuation method is not valid near the singular fold points on the solution branch. We propose the pseudo arclength continuation method and algorithm for the multiple shooting, which can successfully compute the whole solution branch over the singular folds.
出处
《上海师范大学学报（自然科学版）》
2007年第5期5-9,共5页
Journal of Shanghai Normal University(Natural Sciences)
基金
国家自然科学基金(10671130)
上海市教委科研基金(05DZ07)
上海市重点学科建设项目(T0401)
上海市科委重点项目(06JC14092).
关键词
常微分方程
边值问题
折叠点
拟弧长延拓
多重打靶法
ODEs
two -point boundary value problem
fold bifurcation
pseudo arclength continuation
multiple shooting
