中文摘要：

研究蔡氏电路的稳定性．利用系统系数矩阵的特征、基本解矩阵性质、同胚映射及Schwartz不等式等知识，讨论系统的平衡点的存在性及它的指数稳定性，并给出其判定的充分条件．

英文摘要：

The stability of fourth - order Chua＇ s circuit system is investigated. For this system, some sufficient conditions ensuring the existence and exponential stability of the equilibrium point are derived by using homeomorphism mapping,property of coefficient matrix and analytical techniques.