| 引用本文： |
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章一才,郭言,施映,周羁,薛郁.相互拖拽对爆炸式同步的影响[J].广西科学,2017,24(4):340-343. [点击复制]
- ZHANG Yicai,GUO Yan,SHI Ying,ZHOU Ji,XUE Yu.Effects of Mutual Entrainment on Explosive Synchronization[J].Guangxi Sciences,2017,24(4):340-343. [点击复制]
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| 摘要: |
| [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sin β,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。 |
| 关键词: Kuramoto模型 同步 无标度网络 星形网络 相互拖拽 |
| DOI：10.13656/j.cnki.gxkx.20170713.001 |
| 投稿时间：2017-05-15修订日期：2017-06-13 |
| 基金项目:国家自然科学基金项目(11262003),广西自然科学基金项目(20140593)和广西研究生创新项目(YCSZ2012013)资助。 |
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| Effects of Mutual Entrainment on Explosive Synchronization |
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ZHANG Yicai1, GUO Yan1, SHI Ying1, ZHOU Ji1, XUE Yu1,2
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| (1.School of Physical Science and Technology, Guangxi University, Nanning, Guangxi, 530004, China;2.Guangxi Key Laboratory for the Relativistic Astrophysics, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| [Objective] Based on Kuramoto model, we explored the effect of the entrainment factors (sin β) on the explosive synchronization.[Methods] Based on Kuramoto model in the complex network and by introducing the entrainment factors (sin β), we carried out the Kuramoto model with the entrainment factors (sin β) in the scale-free network for numerical simulation and made a theoretical analysis in the star networks.[Results] When β∈(0, π/2), the synchronization will be advanced. When β∈(-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. |
| Key words: Kuramoto model synchronization scale-free network star network mutual entrainment |
