Chaos Synchronization in Time-Dependent Duplex Networks

Abstract EN

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 A and the switching frequency ω.

We find that there are two dynamical regimes depending on ω.

For high ω, the critical A for the stable complete synchronization is independent of ω 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 ω, the critical A depends on ω nonmonotonically.

At extremely low ω, the estimation of the critical A can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations.