Independently Synchronizable Groups in Networks of Delay-Coupled Semiconductor Lasers

In delay-coupled semiconductor lasers (SLs) network, we have established a scheme to separate SLs clusters into distinct groups in which the stability of cluster synchronization in each group is completely independent from that of others. The synchronization stability of these dynamical groups, termed as independently synchronizable groups , are theoretically and numerically investigated. The influences of crucial parameters in SLs networks on the stability of independently synchronizable groups are systematically evaluated. We also numerically discuss the robustness of synchronization stability against parameter mismatch, and demonstrate that the parameter mismatch between different SLs within an independent group did not affect the synchrony of other groups. Moreover, it is shown that modulation of parameters for specific group can significantly improve synchronization performance. Our results offer a new insight to explore new regimes of synchronization in SLs networks.