Coherence Resonance of Excitable Chaotic Spiking Hindmarsh-Rose Neuron Model

Abstract

In contrast to the previous researches on coherence resonance (CR), which have dealt with CR of periodic spiking neuron model, in this paper the characteristic of CR of chaotic neuron model, is researched. Whether CR of chaotic excitable neuron model can occur typically is of particular importance in neurophysiology, where CR is positive effect on transmission of neural information because noise can make the unordered chaotic spiking series of neurons more ordered. Here we show, based on a physical analysis and numerical evidence, that CR in the chaotic region of system bifurcation parameter can occur in the Hind marsh-Rose (HR) neuron model. Different from the previous results about CR that the occurrence and characterisitc of CR are dependent on the distance between the bifurcation point and bifurcation parameter, the occurrence and characterisitc of CR in this case are independent on the value of bifurcation parameter. CR in this case, which is relevant to an experimental phenomenon observed in neural electro physiology experiment, can be expected to occur commonly in other chaotic spiking neuron model.