Coherence resonance and synchronication of Hindmarsh-Rose neurons with noise

Noise effects on coherence resonance and synchronization of Hindmarsh-Rose (HR) neu model are studied. The coherence resonance of a single HR neuron with Gaussian white ndded to membrane potential is investigated in situations before, near and after the Hopf bifuion, separately, with the external direct current as a bifurcation parameter. It is shown that ehough there is no coupling between neurons, uncoupled identical HR neurons driven by a comm noise can achieve complete synchronization when the noise intensity is higher than a critical va Furthermore, noise also enhances complete synchronization of weakly coupled neurons. It is cluded that synchronization in bursting neurons is easier to be induced than in spiking ones,oupling enhances the sensitivity of synchronization of neurons to noise stimulus.