Influence of noise in FHN model with varying parameters

How much influence could noise take in FHN neuron which is exposed to a weak periodic signal is deeply affected by its bifurcation parameter. By a series of simulations, the authors derive the effective region of the bifurcation parameter, in which system could be influenced by noise apparently. Ulteriorly, it is divided into three part, namely, suprathreshold, subthreshold and canard effective region. In the first one, noise takes the inhibiting function to information transmitting in the neuron; in the mid one, the noise with certain intensity could enhance the transmitting, and with the bifurcation parameter being closer to the bifurcation point, this influence will be more distinct; in the third region, the two phenomenon mentioned above will emerge depending on the location of bifurcation parameter. In addition, in this paper, the authors point out that the bifurcation parameter must locate in the small effective region near the bifurcation point to produce stochastic resonance.