随机共振
人工神经网络
乘性噪声
乘法函数
噪音(视频)
高斯分布
双稳态
统计物理学
物理
绝热过程
概率密度函数
高斯噪声
计算机科学
应用数学
数学
算法
数学分析
量子力学
统计
人工智能
信号传递函数
数字信号处理
模拟信号
图像(数学)
计算机硬件
作者
Li Xu,Gang Zhang,Lujie Bi,Zhaorui Li,Xiaofeng Wu
出处
期刊:Physica Scripta
[IOP Publishing]
日期:2023-12-29
卷期号:99 (1): 015250-015250
标识
DOI:10.1088/1402-4896/ad1733
摘要
Abstract This paper investigates the occurrence of stochastic resonance in the three-dimensional Hindmarsh-Rose (HR) neural model driven by both multiplicative and additive Gaussian noise. Firstly, the three-dimensional HR neural model is transformed into the one-dimensional Langevin equation of the HR neural model using the adiabatic elimination method, and the effects of HR neural model parameters on the potential function are analyzed. Secondly the Steady-state Probability Density (SPD), the Mean First-Passage Time (MFPT), and the Signal-to-Noise Ratio ( SNR ) of the HR neural model are derived, based on two-state theory. Then, the effects of different parameters ( a , b , c , s ), noise intensity, and the signal amplitude on these metrics are analyzed through theoretical simulations, and the behavior of particles in a potential well is used to analyze how to choose the right parameters to achieve high-performance stochastic resonance. Finally, numerical simulations conducted with the fourth-order Runge–Kutta algorithm demonstrate the superiority of the HR neural model over the classical bistable stochastic resonance (CBSR) in terms of performance. The peak SNR of the HR neural model is 0.63 dB higher than that of the CBSR system. Simulation results indicate that the occurrence of stochastic resonance occur happens in HR neural model under different values of parameters. Furthermore, under certain conditions, there is a ‘suppress’ phenomenon that can be produced by changes in noise, which provides great feasibilities and practical value for engineering application.
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