中文摘要：

采用忆阻器替换分段线性电阻的方法，在Matsumoto；Chua和Kobayashi（MCK）提出的四阶混沌电路基础上，设计了一个含有忆阻器的五阶对称混沌电路，建立了五阶忆阻混沌电路的数学模型。采用常规动力学分析方法，分析了五阶忆阻混沌电路的平衡点集及其稳定性、Lyapunov指数。采用常规元器件，构建了五阶忆阻混沌电路的仿真模型，并进行了电路仿真实验。理论分析和仿真实验结果表明，设计的五阶忆阻混沌电路具有丰富的混沌行为，丰富了忆阻混沌电路的设计与应用。

英文摘要：

A five order symmetry chaotic circuit including memoristor was designed by adopting the method which memoristor replace the piecewise-linear resistance. Based on the four order chaotic circuit proposed by Matsumoto, Chua and Kobayashi （MCK）, the model of five order memoristor circuit was built. Conventional dynamics analysis method was used to analyze the equilibrium point set, stability and Lyapunov exponent. Conventional components were used to build simulation model of five order memoristor chaotic circuit and carry out circuit simulation experiments. Theoretical analysis and simulation experimental results show that five order memoristor chaotic circuit designed has rich chaotic behavior, which widen the design and application of memoristor chaos circuit.