摘要
首先给出n维自治系统在平衡点处弱散射和散射的定义,同时得出了弱散射一个充分条件,利用此条件证明所有的鞍点都是散射点.最后证明了系统在平衡点处散射的一个判据和充要条件.
In this paper,the definitions of scattering and weak scattering on the equilibrium points of n-dimensional autonomous system are first given.Meanwhile,a sufficient condition on weak scattering is obtained.By using this result,it is proved that all saddle points are weak scattering points.Finally,we give a criterion and a sufficient and necessary condition on scattering point.
出处
《西南民族大学学报（自然科学版）》
CAS
2012年第1期29-33,共5页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金(10671134)
关键词
(非线性)自治系统
弱散射点
散射点
鞍点
autonomous system
weak scattering point
scattering point
saddle point
