摘要
提出了动力系统中稳定流形和不稳定流形的一种实用的快速算法,可以求得稳定流形和不稳定流形的直观图像,从而从几何角度研究动力系统的动态行为和稳定性区域的边界特征.算法由两步构成:①在不稳定流形上求得一些分布均匀的点,以精确反映流形的每个细节;②借助三角形剖分或二维单纯形剖分利用①的算法将这些点画出直观流形图像.
A practical and efficient computation method for stable and unstable manifolds is proposed. Pictures of unstable（stable）manifolds are obtained easily. Thus one can investigate geometrically dynamics of a dynamical system and features of stability regions. The algorithm consists of two steps ： Firstly, calculate on well distributed points in the unstable manifold by means of integration so that details of the unstable manifold are shown. Secondly, draw a picture of the manifold with these points by means of triangle partition.
出处
《计算物理》
EI
CSCD
北大核心
2005年第6期549-554,共6页
Chinese Journal of Computational Physics
基金
重庆邮电学院微电子学与固体电子学学科基金
新世纪优秀人才支持计划资助项目
