Burst Synchronization in a Small-World Neuronal Network with Coupling Delays

Abstract

In this paper, burst synchronization is studied in a heterogeneous small-world neuronal network of non-identical Hindmarsh-Rose (HR) neurons with coupling delays. We study the effect of time delays and coupling strength. It is observed that the network with optimal delay can achieve both burst synchronization and phase synchronization much easily when the coupling strength is sufficiently large. On the contrary, the network cannot achieve burst synchronization or phase synchronization even with sufficiently large coupling strength and some delays. It is also found that the network can achieve burst synchronization but not phase synchronization with some delays and coupling strength. Moreover, we study the effect of noise on burst synchronization.