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一类非线性神经网络系统的超阈值随机共振现象
Suprathreshold stochastic resonance of a non-linear multilevel threshold neuronal networks system
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摘要: 超闽值随机共振可用来解释一些生物现象．本文对一类非线性多阈值神经网络模型的超阈值随机共振现象进行了探讨．首先推导出了系统输出互信息的表达式，然后分析了系统参数及噪声对互信息量的影响．通过数值计算发现，在阈值系统的信息传递过程中，根据乘性噪声和加性噪声对系统信息传递影响的不同，对系统的阈值进行恰当选取是至关重要的．此外，还发现系统的阈值单元数目越多，超闽值随机共振现象就越容易出现．Abstract: Suprathreshold stochastic resonance can be used to explain some biologic phenomena. In this paper, the suprathreshold stochastic resonance of a non-linear multilevel threshold neuronal network system is studied. The expression of the mutual information is derived, and the effects of the noise intensity and the system parameter on mutual information are discussed. The numerical computation results show that in the process of information transmission the selection of the threshold is very important according to the different effects of additive noise and multiplicative noise on system. Moreover, we also find that the more the number of devices, the more apparent the phenomenon of suprathreshold stochastic resonance is.
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