Synchronization of complex networks has been widely studied. The current study of synchronization relies on the network coupling matrix and system parameters. They are the basis of the network structure and dynamical equations. However, this information is often incomplete or even unknown. To overcome these systematic difficulties, a simple synchronization stability boundary equation is reported and novel spontaneous synchronization phenomena in the grid is discovered. The results show that both synchronization stability boundary and spontaneous synchronization are network-independent, while revealing the origin and mechanism of spontaneous synchronization of individuals with the suppression. The correctness and validity of the results are ensured by mathematical proofs and experimental evidence. These results may have a profound impact on the interdisciplinary study of synchronization and provide a unified approach to analyzing the synchronization stability of power grids.
Yuan Yu (Thu,) studied this question.