连接密度对于均匀网络上耦合映象同步方式和同步时间的影响

The effect of connection density on the synchronization dynamics and synchronization time in homogeneous networks

通过修改随机网络的连接概率,研究了网络的连接密度对于均匀网络上的同步方式和同步时间的影响,发现稠密的网络上同步时间与耦合强度关系是单调的.进一步揭示了连接密度产生这种影响的机制,即在稠密的网络上,弱耦合Logistic映象具有与强耦合Logistic映象相同的同步方式,于是随着耦合强度的变化,不出现两种同步方式的转变以及相应的同步慢化.

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.