Synchronizability of Generalized Two-layer Networks with Different Layer Topologies

This paper focuses on a generalized two-layer network and its synchronizability, which randomly generate different topologies at each layer. kind of can better describe some irregular networks in reality. From the master stability function method synchronization analysis, we estimate largest eigenvalue lowest nonzero supra-Laplacian matrix. Then, influence node coupling strength synchronizability is analyzed. We obtain that enhancement promote bounded unbounded regions. In end, perform numerical simulations based theoretical analysis. The results also show more nodes, stronger under region, opposite true for region. have certain guiding significance synchronous application general