The effect of connection density on the synchronization time and synchronization dynamics of coupled Logistic maps on random networks are investigated by changing the connection probability. It can be found that different from the dilute networks the relation between synchronization time and the coupling strength between maps is monotonic on dense networks. The mechanism of the effect of connection density is also investigated. On dense networks, the weakly coupled maps have the same synchronization dynamics with the strongly coupled maps. So with the increase of coupling strength, the transition of synchronization dynamics and the critical slowing down of synchronization will not appear.

synchronization time; synchronization dynamics; random networks; connection density