Robustness and Fragility of Evolving Networks with a New Local Synchronization Preferential Mechanism

摘要

In complex network, the preferential attachment mechanism which originated from the BA model is one of the essentials to improve the synchronizability. First of all, the synchronizability of a class of continuous-time dynamical networks is investigated in the paper. Then some local-world network models, such as the local-world networks, the local-world synchronization-optimal networks and the local-world node deleting evolving network, are introduced. And we have proposed a local-world synchronization-preferential growth topology model. The view have been validated that synchronizability is always improved as the maximum betweenness centrality is reduced. Furthermore, it has been found that the synchronizability of the dynamical network with the local-world synchronization-preferential mechanism is robust against not only the random removal of vertices but also the specific removal of those most connected vertices.