磁控二氧化钛忆阻混沌系统及其电路设计

Magnetic controlled titanium dioxide memristor chaotic system and its circuit design

忆阻器是一种非线性电子元件,可以作为混沌系统的非线性部分,为了提高混沌系统的信号随机性和复杂度,构建了一个磁控二氧化钛忆阻混沌系统。从系统的对称性、耗散度、平衡点稳定性、Lyapunov指数谱和维数、功率谱、庞加莱截面等方面来研究该混沌系统的内在动力学特性。采用双参数影响下的混沌图和复杂度分析方法得到了系统的最优参数范围,同时搭建了基于Multisim的忆阻混沌电路,采用改进型模块化设计来产生混沌信号。实验仿真结果表明,该忆阻混沌系统在最优参数范围下的多稳态共存特性显著,具有丰富的动力学行为,模拟电路验证了该忆阻混沌系统的可实现性,为进一步研究忆阻器混沌系统在图像、音频、文本保密处理中的应用提供了实验基础。

Memristor is a nonlinear electronic component,which can be used as the nonlinear part of a chaotic system.To improve the randomness of signal and the complexity of chaotic system,a magnetically controlled titanium dioxide memristor chaotic system was constructed.The internal dynamic characteristics of the chaotic system was studied by symmetry,dissipation,stability of equilibrium point,spectrum and dimension of Lyapunov exponent,power spectrum and Poincare cross section.The optimal parameters of the system was obtained by using the chaos diagram under the influence of two parameters and the complexity analysis method.Meanwhile,a memristor chaotic circuit was built based on Multisim,and the improved modular design was used to generate the chaotic signal.The simulation results show that the memristor chaotic system has rich dynamic behaviors and remarkable multi stable coexistence characteristics under the optimal parameters.The simulation circuit verifies the realization of the memristor chaotic system,which provides experimental basis for further research on their applications in image,audio and text security processing.