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Fracmemristor chaotic oscillator with multistable and antimonotonicity properties.
Journal of Advanced Research ( IF 10.7 ) Pub Date : 2020-06-17 , DOI: 10.1016/j.jare.2020.05.025
Haikong Lu 1 , Jiri Petrzela 2 , Tomas Gotthans 2 , Karthikeyan Rajagopal 3 , Sajad Jafari 4 , Iqtadar Hussain 5
Affiliation  

Memristor is a non-linear circuit element in which voltage-current relationship is determined by the previous values of the voltage and current, generally the history of the circuit. The nonlinearity in this component can be considered as a fractional-order form, which yields a fractional memristor (fracmemristor). In this paper, a fractional-order memristor in a chaotic oscillator is applied, while the other electronic elements are of integer order. The fractional-order range is determined in a way that the circuit has chaotic solutions. Also, the statistical and dynamical features of this circuit are analyzed. Tools like Lyapunov exponents and bifurcation diagram show the existence of multistability and antimonotonicity, two less common properties in chaotic circuits.



中文翻译:

具有多稳态和反单调性的Fracmemristor混沌振荡器。

忆阻器是一种非线性电路元件,其中电压-电流关系由电压和电流的先前值(通常是电路的历史记录)确定。该分量中的非线性可以认为是分数阶形式,从而产生分数忆阻器(frammemristor)。在本文中,应用了混沌振荡器中的分数阶忆阻器,而其他电子元件为整数阶。以电路具有混沌解的方式确定分数阶范围。同样,分析了该电路的统计和动态特性。Lyapunov指数和分叉图之类的工具显示了多重稳定性和反单调性的存在,这是混沌电路中两个较不常见的特性。

更新日期:2020-06-17
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