Transition to synchronization in a Kuramoto model with the first- and second-order interaction terms.
Transition to synchronization in a Kuramoto model with the first- and second-order interaction terms.
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DOI：
10.1103/physreve.89.032917
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发表时间：
2014-03
期刊：
影响因子：
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通讯作者：
K. Li;Shen Ma;Haihong Li;Junzhong Yang
中科院分区：
文献类型：
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作者：
K. Li;Shen Ma;Haihong Li;Junzhong Yang
我们研究了一个包含一阶和二阶相互作用项的仓本模型。结果表明，该模型表现出多吸引子的共存性，不同的吸引子可以用振子的相位分布来刻画。通过对前向延拓和后向延拓两种情形下的跃迁图的研究，发现具有单峰相位分布的同步态是最稳定的，而具有均匀双峰相位分布的团簇同步态是最不稳定的。给出了该模型在参数空间中的相图。
We investigate a Kuramoto model incorporated with the first-order and the second-order interaction terms. We show that the model displays the coexistence of multiattractors and different attractors may be characterized by the phase distributions of oscillators. By investigating the transition diagrams in both forward continuation and backward continuation, we find that the synchronous state with unimodal phase distribution is the most stable one while the state in cluster synchrony with evenly distributed bimodal phase distribution is the least stable one. We also present the phase diagram of the model in the parameter space.