摘要
在鞍结分岔的参数范围内证明了具有鞍结分岔的二次系统都存在同宿轨道 ,得到了同宿轨道的解析表达式及其幅值与分岔参数的关系 .当参数随时间慢变经过鞍结分岔值时 ,分析了分岔对于参数变化率的敏感依赖性 。
It was proved that there exist homoclinic trajectories of a quadratic system in the range of the parameter of the saddle node bifurcation. The analytic expression for each homoclinic trajectory and the relation between the amplitude of the homoclinic trajectory and the bifurcation parameter were obtained. As the bifurcation parameter varies slowly with time passing through the saddle node bifurcation value, the sensitive dependence of the bifurcation on the changing rate of the parameter was analyzed and a new method for predicting the bifurcation value was given.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第3期391-394,共4页
Journal of Shanghai Jiaotong University
基金
中国博士后科学基金 ( No.2 8)
上海市科技与发展基金 ( 98JC14 0 32 )
国家自然科学基金 ( 19872 0 10 )资助项目
关键词
同宿分岔
时变分岔
动力学
鞍结分岔
二次系统
saddle node bifurcation
homoclinic bifurcation
time dependent bifurcation
