摘要
在动力系统的规范形理论基础上,用内积法研究了Hopf分岔系统的规范形,对矩阵表示法进行了改进,研究了Hopf分岔系统的规范形系数与原系统的关系,得出比传统规范形更简化的一个表达式.
The normal form of Hopf bifurcation system was studied by normal form theory of dynamic system. The higher order normal form of Hopf bifurcation system was computed with the inner product method, and the method of matrix representation was extended. It was obtained that a normal form of Hopf bifurcation system was simpler than the conventional normal form.
出处
《天津师范大学学报（自然科学版）》
CAS
2006年第2期38-40,共3页
Journal of Tianjin Normal University：Natural Science Edition
基金
国家自然科学基金项目(10372068)
关键词
HOPF分岔
规范形
内积法
Hopf bifurcation
normal form
inner product method
