5.0SYApr 17
On the Contraction of Excitable SystemsAlessandro Cecconi, Michelangelo Bin, Lorenzo Marconi et al.
We study the contraction of Hodgkin-Huxley model and its role in the reliability of spike timings. Without input, the model is contractive in the region of physiological interest. With impulsive synaptic inputs, contraction is retained provided that the input events are sparse enough. Contraction is lost when the input firing rate is too high. Spike timings are shown to be reliable in the contracting regime.