Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh–Rose neurons

Periodic states with functional phase relation are found for extremely weak coupling in the coupled Hindmarsh–Rose (HR) neurons model and the coupled Pikovsky circuit model where all oscillators take a same orbit while the phases of different oscillators have functional relation. By analyzing a periodically forced chaotic neuron, the phase distribution of various oscillators of the coupled HR neurons system is obtained. The response curves of phase distribution correspond to different spike lock. For the Pikovsky circuit model, similar phase distribution is also obtained.