Resonance in chaotic neural networks driven by a weak sinusoid

We study the numerically stochastic resonance (SR) like behavior in chaotic neural networks driven by a weak sinusoid. This resonance phenomenon has a peak at a drive frequency like noise-induced SR. However, it has a different mechanism from noise-induced SR. A summing network can enhance the signal-to-noise ratio (SNR) of a mean field by the law of large numbers. Global coupling does not always enhance the SNR of a mean field, however, we find an enhancement by coupling on the neuron level. The global coupling network has a parameter region of a negative correlation between the SNR and the KS entropy. Increasing the drive amplitude saturates the SNR, and further increasing makes the driven chaotic system nonchaotic. These situations exhibit a similarity to the results of the driven chaotic neuron. The nearest neighbour coupling network also has a negative correlation between the SNR of one of neuron internal states and the KS entropy whenever the boundary is periodic or free