Synchronization on Erdös-Rényi networks.
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.
Gong
Baihua
B
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China.
Yang
Lei
L
Yang
Kongqing
K