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Complex dynamics of a non-volatile memcapacitor-aided hyperchaotic oscillator
Nonlinear Dynamics ( IF 5.2 ) Pub Date : 2020-06-18 , DOI: 10.1007/s11071-020-05722-3
Wei Zhou , Guangyi Wang , H. H. C. Iu , Yiran Shen , Yan Liang

To explore memcapacitors and their characteristics in chaotic oscillators, this paper proposes a logarithmic charge-controlled memcapacitor model. Using power-off plot analysis, we show that the memcapacitor possesses continuous non-volatile characteristic. Also, its dynamic route map shows the memcapacitor can rapidly switch from one memcapacitance to another by applying a single voltage pulse. Based on the memcapacitor model, we design a chaotic oscillator, which can exhibit some complex dynamic characteristics, such as chaos, hyperchaos and various coexisting attractors. The multistable coexisting oscillation of the system is further analyzed by using phase portraits, basins of attraction and double-bifurcation diagrams. Symmetric coexistence attractors with infinite homogeneity and heterogeneity are also found, which can evolve into hyperchaos under certain initial conditions. Finally, the chaotic oscillator is verified by numerical simulations and digital signal processor experiments.



中文翻译:

非易失性电容器辅助超混沌振荡器的复杂动力学

为了探索混沌电容器中的电容器及其特性,本文提出了一个对数电荷控制的电容器模型。使用断电图分析,我们表明该电容器具有连续的非易失性特性。而且,其动态路径图显示,通过施加单个电压脉冲,该电容器可以迅速从一种电容器转换为另一种电容器。基于memcapacitor模型,我们设计了一个混沌振荡器,它可以表现出一些复杂的动态特性,例如混沌,超混沌和各种共存吸引子。通过使用相图,吸引盆和双分叉图进一步分析了系统的多稳态共存振荡。还发现了具有无限同质性和异质性的对称共存吸引子,在某些初始条件下会演变为超混沌。最后,通过数值模拟和数字信号处理器实验对混沌振荡器进行了验证。

更新日期:2020-06-18
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