摘要
Ｒｏｕｔｈ—Ｈｕｒｗｉｔｚ判别法对于低维动力系统Ｈｏｐｆ分岔点的分析是方便的，但对高维动力系统的讨论是相当复杂．作者通过直接应用Ｈｏｐｆ分岔定理．得到了Ｈｏｐｆ分岔点满足的一般性参数方程．
The determination of parameter conditions for Hopf bifurcation points of dynamical system is usually carried out by using Routh-Hurwitz method.This method is convenient for the analysis of Hopf bifurcation poins of the low dimensional dynamical systems but is complicated for those of high ones,By directly applying the Hopf bifurcation theorem,a general parameter equation which is satisfied by the Hopf bifurcation points is identified.
关键词
动力系统
郝普夫分岔
R-H判别法
dynamical system
Hopf bifurcation
Routh-Hurwitz method
