A new meminductor based hyperchaotic oscillator and its mathematical model were presented. Meanwhile, some basic dynamic properties such as equilibrium point and stability were analyzed. Through Lyapunov exponents and bifurcation diagram and other commonly used dynamic analysis methods, the system’s dynamic characteristics were analyzed, and observed several special dynamic phenomena, such as coexisting attractor. Then, the circuit was implemented through the DSP platform and the results confirm the validity of the theoretical analysis. Combined the analysis of theory and simulation, it shows that the new meminductor based hyperchaotic system has abundant dynamic characteristics. The complex dynamic behaviors in the new system enrich the related research of the meminductive circuits.

提出了一种新型的基于介导的超混沌振荡器及其数学模型。同时，分析了平衡点和稳定性等基本动力学特性。通过利雅普诺夫指数和分叉图等常用的动力学分析方法，对系统的动力学特性进行了分析，观察了几种特殊的动力学现象，如吸引子共存。然后，该电路通过DSP平台实现，结果证实了理论分析的正确性。结合理论分析和仿真分析，表明基于新型电感器的超混沌系统具有丰富的动态特性。新系统中复杂的动力学行为丰富了磁感应电路的相关研究。