Sensitivity analysis of spiking neuron synapse

This paper researches on the sensitivity of spiking neuron synapse caused by the input perturbation. Due to the discontinuous character of the response function in real number space the discussion of the sensitivity is divided into two parts according to the different value of the neuron running time. One part is deriving a computational formula for the sensitivity which is defined as a mathematical expectation of absolute output deviation due to the input perturbation. Another part is analyzing the probability of response change caused by the perturbation. With these results it´s possible to investigate the working mechanism of the spiking neuron from a special aspect.