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Neural behaviors and nonlinear dynamics of a rotate-and-fire digital spiking neuron

A rotate-and-fire digital spiking neuron is a wired system of shift registers that is suitable for electronic circuit implementation and on-chip learning. By adjusting the wiring pattern among the registers, the neuron can generate spike-trains with various spike patterns. An iterative map which can analytically describe the neuron dynamics is derived. Using the map, it is show that the neuron can exhibit a typical neuron-like bifurcation phenomenon and various neuron-like responses such as class I excitability, class II excitability, integrator-type response, and resonator-type response.