Figure 1. A graphical illustration of the chronotron problem for a neuron with 2 synapses.

(A) The dynamics of the membrane potential . The numbered arrows indicate the timings when the membrane potential reaches the firing threshold and spikes are fired. (B) The dynamics of the two components of . (C) The trajectory of . Spikes are generated when the trajectory reaches the spike-generating hyperplane, which is here a line. The chronotron problem is solved by adjusting the location of the spike-generating hyperplane, through changes in , such that the timings of the fired spikes are the target ones. The numbered arrows indicate the generation of spikes at the times when the spike-generating line is reached. The neuron has .