On synchronous preference of complex dynamical networks

The synchrony preferential mechanism in complex networks is investigated in a novel synchronization-preferential growing network model proposed. Compared with the BA scale-free model [A.L. Barabási, H. Jeong, R. Albert, Physica A 272 (1999) 173.] and the synchronization-optimal network model [J. Fan, X.F. Wang, Physica A 349 (2005) 443], the synchronization-preferential model is more robust against both random and specific removal of vertices although the former two models exhibit a stronger synchronizability. It is, therefore, concluded that the preferential attachment mechanism which originated from the BA model is one of the essentials to improve the synchronization robustness in complex network against both random failures and specific attacks.