摘要
采用规范形理论和Dulac定理讨论了系统dxdt=1-xnyndydt=α(xnyn-y)(n≥4)的Hopf分支,得到了此系统的Hopf分支的存在范围及其稳定性的结论,是对已有结果的推广.
In this paper,we discuss the hopf bifurcation for the systemdxdt=1-x^ny^ndydt=α(x^ny^n-y) (n≥4)by using the theory of canonical and Dulac.We obtain the sufficient condition of the stability and the bound of the existence of the hopf bifurcation.The outcome of reference is one that shown some improvement to the outcome which is in existence.
出处
《咸宁学院学报》
2006年第6期3-5,共3页
Journal of Xianning University
基金
咸宁学院校级资助项目(KL0526)
关键词
HOPF分支
规范形
渐近稳定
Hopf Bifurcation
Canonical form
Asymptotic stability
