【摘要】 模仿文[2]的方法,将正平衡点坐标很复杂的系统转化为正平衡点坐标很简单的系统,为研究此系统的Hopf,An分支创造了条件,从而证明了系统x·=A-Bx-xy2,y·=Bx+xy2-my2m-A)至多是一阶n+y2的正平衡点M(AB+y20稳定焦点,改进了文[1]的工作.更多还原

【Abstract】 We follow the article to simplify the complicated coordinates of the positive equilibrium of the system of (x)·=A-Bx-xy~2,(y)·=Bx+xy~2-my~2n+y~2 ,and prove that the positive equilibrium of this system is at most a one-degree stable focus. Then we improve the work of article.更多还原