摘要
生化反应系统具有重要的意义.本文采用规范形理论讨论了方程组dxdt=1-xy3dydt=axy3-ay的hopf分支,简洁地得到了此方程组hopf分支存在的条件及其稳定性的结论,是对现有方法的有益补充.
It has important significance about dynamical system in biochemistry reaction. With the method of canonical form, we discuss the system
{dx/dt=1-xy^3
dy/dt=axy^3-ay
and obtain the sufficient condition of occurrence of hopf bifurcation and the stability of the hopf bifurcation which is a beneficial complement to existing methods.
出处
《咸宁学院学报》
2009年第6期94-95,共2页
Journal of Xianning University
基金
咸宁学院资助项目(KY0867)
关键词
动力系统
稳定性
HOPF分支
Dynamical system
Stability
Hopf bifurcation
Liapunov function
