Liu Yue, Li Hui, Guo Shu-Xu, Iu Herbert Ho-Ching
Department of Electrical and Electronic Engineering, Changchun University of Technology, Changchun 130012, China.
College of Electronic Science and Engineering, Jilin University, Changchun 130012, China.
Micromachines (Basel). 2022 Aug 17;13(8):1330. doi: 10.3390/mi13081330.
The Chua corsage memristor (CCM) is considered as one of the candidates for the realization of biological neuron models due to its rich neuromorphic behaviors. In this paper, a universal model for -lobe CCM memristor is proposed. Moreover, a novel small-signal equivalent circuit with one capacitor is derived based on the proposed model to determine the edge of chaos and obtain the zero-pole diagrams and analyze the frequency response and oscillation mechanism of the -lobe CCM system, which are discussed in detail. In view of existence of the edge of chaos, the frequency response and the oscillation mechanism of the simplest oscillator is analysed using the proposed model. Finally, the proposed model has exhibited some essential neural oscillation, including the stable limit cycle, supercritical Hopf bifurcation, spiking and bursting oscillation. This study also reveals a previously undiscovered behavior of bursting oscillation in a CCM system.
蔡氏腕带忆阻器(CCM)因其丰富的神经形态行为而被视为实现生物神经元模型的候选者之一。本文提出了一种用于多叶CCM忆阻器的通用模型。此外,基于所提出的模型推导了一种新颖的单电容小信号等效电路,以确定混沌边缘,获得零极点图,并分析多叶CCM系统的频率响应和振荡机制,将对其进行详细讨论。鉴于混沌边缘的存在,使用所提出的模型分析了最简单振荡器的频率响应和振荡机制。最后,所提出的模型展现出了一些基本的神经振荡,包括稳定极限环、超临界霍普夫分岔、尖峰和爆发振荡。本研究还揭示了CCM系统中一种先前未被发现的爆发振荡行为。