相互拖拽对爆炸式同步的影响

Effects of Mutual Entrainment on Explosive Synchronization

【目的】在Kuramoto模型基础上,研究拖拽因子对复杂网络中爆炸式同步的影响。【方法】在无标度网络的Kuramoto模型基础上,引入拖拽因子sinβ,并对具有拖拽因子的Kuramoto模型进行数值模拟,同时在星形网络上对其进行理论分析。【结果】当拖拽因子的β值在(0,π/2)时可以使同步提前,当拖拽因子的β值在(-π/2,0)时,则会使同步退后。【结论】相互拖拽作用对无标度网络及星形网络的爆炸式同步有较大影响,通过调节拖拽因子的β值,可以有效控制同步的提前与退后。

【Objective】Based on Kuramoto model,we explored the effect of the entrainment factors（sinβ）on the explosive synchronization.【Methods】Based on Kuramoto model in the complex network and by introducing the entrainment factors（sinβ）,we carried out the Kuramoto model with the entrainment factors（sinβ）in the scale-free network for numerical simulation and made a theoretical analysis in the star networks.【Results】Whenβ∈（0,π/2）,the synchronization will be advanced.Whenβ ∈（-π/2,0）,the synchronization will be delayed.【Conclusion】The mutual entrainment has a great effect on the explosive synchronization of the scale-free network and the star network,the advancement and backward of synchronization can be effectively controlled by adjusting the value of entrainment factors.