Successive Lag Synchronization for Multilayer Complex Networks With Multiple Weights
Yunxiang Xia, Xiwei Liu
Abstract
A multilayer complex network model with multiple and directed weights is firstly proposed in this brief. Then, under suitable coupling protocols in virtue of time lags, the successive lag synchronization (SLS) among layers can be realized, which is a new type of dynamical behavior for complex networks. Especially, when there is no time lag among layers, SLS becomes complete synchronization. This model can bridge the gap between complete synchronization for reducible coupling matrices, cluster synchronization, classical SLS, etc. Sufficient conditions for SLS are obtained by the re-arranging variables’ order technique, which is recently developed for networks with multiple weights. Finally, numerical simulations are given to verify our results.