非线性电容双涡卷混沌电路的Hopf分岔

Hopf Bifurcation in the Nonlinear Capacitor Double Scroll Chaotic Circuit

对一个非线性电容双涡卷混沌电路的方程 ,利用中心流形定理和Hopf分岔理论讨论了电路产生Hopf分岔的条件 ,得到中心流形、小振幅周期解的渐近表达式 ,同时给出了周期解稳定性判据。

The nonlinear capacitor double scroll circuit is considered. The bifurcation phenomena are discussed by using Hopf bifurcation and center manifold theorems. Hopf bifurcation can occur in some values of circuit parameters. The asymptotic formulas for the center manifold and the periodic solution with small amplitude have been given. The stable criterion of the periodic solution has been obtained.