中文摘要：

由HP实验室研制的无源忆阻器得到的荷控二次型忆阻器模型,与有源磁控分段线性和三次光滑忆阻器模型相比,更符合实际.利用此模型并基于蔡氏混沌电路演化而来的拓扑对偶结构设计了一种新型忆阻器四阶混沌电路.理论分析、仿真及电路实现表明,该电路具有依赖于忆阻器初始状态的复杂动力学行为,也会产生随时间和系统参数变化的状态转移等非线性动力学现象,在相轨图中出现＂涡眼＂和＂环眼＂.

英文摘要：

Compared with active piecewise linear（ PWL） and cubic smooth memristor model adopted in most memristor-based chaotic circuits,charge-control quadratic memristor model is more practical,which is derived from a passive device fabricated by HP Labs.Based on the model and a topological dual structure of Chua ＇s chaotic circuit,a memristor-based fourth-order chaotic circuit was designed. As is verified by theoretical analysis,simulation and circuit realizations,the charge-control quadratic memristor-based chaotic circuit has complex dynamical behaviors relying on initial state of memristor. Meanwhile,non-linear dynamical phenomenon of state transition is generated along with variation of initial state,time and system parameters. An eye of scroll and an eye of limit cycle are observed in phase diagrams of chaotic circuits.