title: Synchronization on Erdös-Rényi networks.
abstract: In this Brief Report, by analyzing the spectral properties of the Laplacian matrix of Erdös-Rényi networks, we obtained the critical coupling strength of the complete synchronization analytically. In particular, for any size of the networks, when the average degree is greater than a threshold and the coupling strength is large enough, the networks can synchronize. Here, the threshold is determined by the value of the maximal Lyapunov exponent of each dynamical unit.
authors.affiliation: Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China.
authors.forename: Baihua
authors.initials: B
authors.lastname: Gong
authors.forename: Lei
authors.initials: L
authors.lastname: Yang
authors.forename: Kongqing
authors.initials: K
authors.lastname: Yang