Synchronization in weighted NW small world network

We investigate how to improve the synchronizability of N-W small world network. For a NW small world network, larger networks have better synchronization property and increasing of adding probability p means better synchronization. Simply by changing the local link weights while conserving the topological structure, the synchronizability was improved. Our theoretical analysis and extensive simulations show that the weight of N-W network influence not only the synchronizability, but also the converging speed. As the weight was added, the converging speed become fast than those unweighted network.