Neuronal Synchronization over Networks with Small-world Property

Abstract

In this paper the synchronization behavior of Hindmarsh-Rose neuron models over networks with small-world property is addressed. As network structure, a model proposed by Newman and Watts is considered and the synchronizability is obtained both by numerically solving the differential equations and by the master-stability-function method. In addition to diffusive electrical couplings, the effect of having excitatory chemical connections is also addressed and the complementary role of chemical synapses to the electrical one in providing complete synchrony in the network is shown.