Cluster Synchronization of Coupled Semiconductor Lasers Network with Complex Topology

The cluster synchronization of mutually-coupled semiconductor lasers (SLs) network with complex topology is theoretically and numerically investigated, in which stable zero-lag synchronization could be achieved between different SLs within same cluster. It is shown that the symmetry of SLs network topology is an underlying mechanism for the formation of SLs clusters. Different SLs clusters can exhibit different local dynamics and, most importantly, synchronized SLs clusters could coexist with unsynchronized ones. We also discussed the influence of the significant parameters of SLs on the stability of cluster synchronization. The numerical results show that two key internal parameters of SLs, the linewidth-enhancement factor and gain saturation coefficient, play important roles on the SLs network dynamics. It is also shown that, from the point view of symmetry, the self-feedback strength of SLs can play a particularly important role on the formation of SLs cluster. Moreover, the existence of symmetry-induced cluster synchronization is verified in different types of SLs networks topologies (random network and Nepal power grid network), indicating the universality of proposed results. Our results suggest a new insight into the research of synchronized dynamics in complex delay-coupled SLs networks.