Delay-induced order in pulse-coupled bifurcating neurons

This paper studies dynamics of pulse-coupled bifurcating neurons with delay. Before the coupling, the neuron can exhibit chaotic/periodic behavior by repeating integrate-and-fire behavior between the threshold and sinusoidal base signal. After the coupling, the system can exhibit various bifurcation phenomena. Especially, we have found an interesting phenomenon: chaotic behavior of single neuron can be changed into periodic behavior of coupled system by a delay effect. This delay-induced order and related bifurcation can be analyzed precisely using the mapping procedure. Presenting a simple equivalent circuit, basic phenomena are confirmed experimentally.