一类对偶电路系统的稳定性分析

Stability Analysis of a Class of Dual Circuit System

通过对蔡氏对偶电路的研究,建立并研究了一类对偶电路的数学模型,分析系统平衡点的稳定性,证明了一个三阶自治电路能够产生非线性动力学行为,根据劳斯-赫尔维茨稳定性判据,讨论并得出了电阻和电感在一定条件下对应系统的稳定状态.

Through the research on the dual circuit of Chua,a mathematical model of a class of dual circuit is established and studied,and the stability of the system equilibrium point is analyzed.It is proved that a third-order autonomous circuit can produce nonlinear dynamic behavior.According to the Routh Hurwitz stability criterion,the stable state of the system corresponding to the parameters under certain conditions is discussed and obtained.