三阶非线性电容电路中的同宿轨道计算及混沌  

Homoclinic Orbits and Chaos in a Third-Order Circuit Containing a Nonlinear Capacitor

作　　者：李广明[1] 张洪[2] 高金峰[3] 

机构地区：[1]东莞理工学院,广东东莞523808 [2]中央民族大学,北京100081 [3]郑州大学,河南郑州450002

出　　处：《汕头大学学报（自然科学版）》2005年第4期36-42,共7页Journal of Shantou University：Natural Science Edition

摘　　要：选取一个含非线性负电容的三阶自治电路,对其状态方程所描述的向量场的特征空间几何结构进行分析与计算,利用在平衡点的实特征值和电路参数推导出电路状态空间的解析表达式及其有关的重要量,求出电路中存在的同宿轨道及同宿分岔产生的混沌,并给出模拟结果.In this paper, the quantitative nature of a third-order autonomous circuit containing a nonlinear capacitor is discussed. According to its real eigenvalues at the equilibrium and circuit parameters in every linear space, the analytical expression of the eigenspace and the important quantities in state space are shown. Based on it, the homoclinic orbits with different parameters at the equilibrium 0 and P^＋ are searched. Through computer simulation, the road to chaos from homoclinic bifurcation has been shown.

关 键 词：非线性电容 特征空间 同宿轨道 混沌 

分 类 号：TM132[电气工程—电工理论与新技术]