Abstract: In order to further explore the practical application value of chaotic circuit system, we take the nonlinear chaotic circuit as the research object, established a new kind of chaotic circuit system with multiple memristor elements, and introduced its application about circuit fault detection of tracked tractor. Through the nonlinear theory analysis of the chaotic characteristics of the system, the normative type and the bifurcation theorem are combined, and the supercritical Hopf bifurcation of the system occurs around the timedelay bifurcation point τ=τ0=0.785 4, and when the value of the hysteresis parameter τ continues to increase, the attractor state of the system will change from stable to chaotic (τ>1.57). Based on the numerical sensitivity of chaotic system to delay parameter, the delay chaotic system is applied to the fault detection of engine circuit of tracked tractor， according to the feedback signal value τm、τ、τn three sizes of early warning, τm<τ<τn fault warning, τ over τm、τn fault alarm and the circuit detection block diagram and flow chart are given.

Key words: nonlinear system, fault detection, memristor, bifurcation, chaotic circuit

摘要： 为进一步探究混沌电路系统的实际应用价值，以非线性混沌电路为研究对象，建立一类含多个忆阻原件的新型混沌电路系统，并研究其在履带式拖拉机电路故障检测方向的应用。通过非线性理论分析系统的混沌特性，将规范型和分岔定理相结合，通过仿真计算得到系统在时滞分岔点τ=τ0=0.785 4附近发生了超临界Hopf分岔，且当时滞参量τ的值持续增加时，系统吸引子状态会由稳定变为混沌(τ>1.57)。利用混沌系统对时滞参量的数值敏感性，将时滞混沌系统应用于履带式拖拉机发动机电路故障检测中，根据反馈信号值τm、τ、τn三者大小进行预警，τm<τ<τn故障预警，τ越过τm、τn故障警报，并给出具体的电路检测框图及检测流程图。

关键词: 非线性系统, 故障检测, 忆阻器, 分岔, 混沌电路