A novel asynchronous digital spiking neuron model and its various neuron-like bifurcations and responses

A novel spiking neuron model whose nonlinear dynamics is described by an asynchronous cellular automaton is presented. The model can be implemented by a simple digital sequential logic circuit but can exhibit various neuron-like bifurcations and responses. Using the Poincaré mapping technique, it is clarified that the model can reproduce major bifurcation mechanisms of excitabilities and spikings of biological and model neurons. It is also clarified that the model can reproduce major excitatory responses of the neurons.