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In this poster, it is confirmed through numerically solving the network's differential equations and determining the necessary coupling strength for synchronization, that master stability function method, which gives necessary conditions for linear stability of the synchronization manifold, indeed predicts the synchronizing coupling strength correctly. We also investigate the influence of topological properties of connection graphs such as the size and probability of shortcut links in the network on the synchronizability of the networked system, i.e. the influence on the least synchronizing coupling strength. We find out that for a large class of NW networks, there is a power-law relation between the probability of long-range shortcuts and the least synchronizing coupling strength. The synchronization of electrically coupled HR neurons over clustered networks, a class of SW networks with dense inter-cluster connections but sparsely in intra-cluster linkage, is also studied. It is found out that the synchronizing coupling strength is influenced mainly by the probability of intra-cluster connections with a power-law relation. Furthermore, we consider ensembles of HR neurons with both electrical and chemical couplings and show that chemical synapses play indeed a complementary role in synchronization, while electrical coupling is the main responsible for providing complete synchrony. |
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