Synchronization of a class of small-world networks via drivingly coupled scheme

Synchronization is a ubiquitous phenomenon in nature. This paper aims at further investigates the synchronization of a class of small-world networks via drivingly coupled scheme. In detail, based on the Master Stability Method, we further discuss the distributions of eigenvalues λ₂ and λ_n of coupling matrixes for realizing the synchronization of small-world networks via drivingly coupled scheme. It indicates that the distributions of eigenvalues λ₂ and λ_n are largely determined by the degree distributions of the networks. A numerical example is then given to illustrate the above phenomenon.