Volterra series for Hodgkin-Huxley and Fitzhugh-Nagumo neuron models
The peculiarity of Volterra series use as to comparison with classical models of nonlinear dynamical systems in the form of nonlinear differential equations is that Volterra series directly evaluates output signal of the system by multidimensional convolution of input signal. Kernels of Volterra series can be considered as generalization of impulse response of linear systems to nonlinear ones. The choice of certain components of Volterra series enables to take into account nonlinear peculiarities of different orders.