Chaos Synchronization in Time-Dependent Duplex Networks

Though the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodically between two single-layer networks. The alternations between two layers are characterized by the offset strength and the switching frequency . We find that there are two dynamical regimes depending on . For high , the critical for the stable complete synchronization is independent of and the fast-switching approximation suggests that the time-dependent duplex networks can be approximated by the time-independent duplex networks with effective coupling strength. For low , the critical depends on nonmonotonically. At extremely low , the estimation of the critical can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations.