摘要
采用规范形理论讨论方程组dx1 dt =1 -x1 x22dx2dt =αx2 (x1 x2 - 1 )的Hopf分支 。
In this paper, we discuss the hopf bifurcation of a nonlinear system in bio-chemical reactions. The system is dx_1dt=1-x_1x^2_2dx_2dt=αx_2(x_1x_2-1)In the system,we obtain not only the sufficient condition for occurrence of the hopf bifurcation but also the stability of the hopf bifurcation.
出处
《咸宁学院学报》
2003年第6期21-22,共2页
Journal of Xianning University
关键词
HOPF分支
规范形
轨道渐近稳定
Hopf bifurcation
Canonical form
Robitally asymptotic stability