Based on the three-dimensional memristive Hindmarsh–Rose model, the effects of Gaussian colored noise and electromagnetic induction on memory function of the memristor and neural firing states are investigated in this paper. It is found that the memory function of memristor can be suppressed by a higher signal frequency, while enhanced by a relatively larger coefficient of the memristor. The memory function of memristor is destroyed by larger values of noise intensity and correlation rate between noises. The neural firing state can be transformed from the spiking state to the chaotic state with the increase of noise intensity or correlation rate. The firing states transition induced by the higher electromagnetic induction intensity is opposite to that by the stronger Gaussian colored noise.

中文翻译：

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有色噪声和电磁感应驱动的忆阻Hindmarsh-Rose模型的记忆功能

本文基于3D忆阻Hindmarsh-Rose模型，研究了高斯有色噪声和电磁感应对忆阻器记忆功能和神经放电状态的影响。发现忆阻器的记忆功能可以通过较高的信号频率来抑制，而通过忆阻器相对较大的系数来增强。忆阻器的记忆功能被较大的噪声强度和噪声之间的相关率值破坏。随着噪声强度或相关率的增加，神经放电状态可以从尖峰状态转变为混沌状态。由较高的电磁感应强度引起的激发态转变与由较强的高斯色噪声引起的激发态转变相反。