A Memristor Chaotic Circuit Based on Wien-bridge Oscillator
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摘要: 该文采用文氏桥振荡器和磁通控制的分段线性忆阻器,设计了一种新的单一参数控制的混沌电路。通过调节控制参数,该系统在忆阻器的非线性作用下,通过倍周期分岔产生了混沌和超混沌现象。利用常规的动力学分析手段研究了电路参数变化时系统的动力学特性,例如平衡点稳定性分析,李雅普诺夫指数谱和分岔图。为了验证电路的正确性,该文采用集成运放和压控开关实现了一个分段线性磁控忆阻器的模拟等效电路,并将该系统应用于提出的混沌电路,Pspice仿真结果与理论分析完全吻合。Abstract: A novel chaotic circuit with a single bifurcation parameter is presented in this paper. The circuit is composed of a Wien-Bridge oscillator and a piecewise-linear memristor. By adjusting the system parameter, the proposed circuit performs chaotic and hyper-chaotic behaviors from doubling-periodic. The dynamic properties of the new circuit are demonstrated via universal dynamics analysis methods such as equilibria stability, Lyapunov exponent spectra and bifurcation diagrams. An equivalent circuit which realizes the action of three segments piecewise linear flux- controlled memristor is proposed and employed to the chaotic circuit. The Pspice simulation results of the resultant circuit are consistent with theoretical analysis.
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Key words:
- Chaotic circuit /
- Memristor /
- PieceWise-Linear (PWL) /
- Wien-bridge oscillator
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