中文摘要：

作为第四个基本电路元件,忆阻器非常适合实现混沌电路.采用浮地忆阻器实现了一个超混沌系统,通过调节系统参数,该系统在忆阻器的非线性作用下产生了混沌和超混沌现象.采用常规的动力学分析手段,如平衡点的稳定性、李氏指数谱和分岔图研究了电路参数变化时系统的动力学特性.为了验证电路的动力学行为,采用通用的电子器件实现了一个分段线性浮地磁控忆阻器的模拟等效电路并应用到提出的混沌电路中,Pspice仿真结果与理论分析完全吻合.

英文摘要：

As the fourth basic circuit element,memristor is very suitable for realizing chaotic circuits.A hyper-chaotic circuit based on a floating memristor is presented in this paper.By adjusting the system parameter the circuit performs chaotic and hyper-chaotic behaviors from double periodicity.The dynamic properties of the new hyper-chaotic circuit are demonstrated via universal dynamic analysis methods such as equilibria stability,Lyapunov exponent spectra and bifurcation diagrams.An equivalent circuit realizing the action of three segments piecewise linear floating flux-controlled memristor is proposed and employed to the chaotic circuit.The Pspice simulation results of the resultant circuit are well consistent with theoretical analysis.