Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths.
Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths.
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DOI：
10.1103/physreve.89.012910
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Di Yuan;Mei Zhang;Junzhong Yang
中科院分区：
文献类型：
--
作者：
Di Yuan;Mei Zhang;Junzhong Yang
作为一个典范模型，Kuramoto模型为研究非全同振子之间的同步提供了一个平台。在这项工作中，我们考虑了由正耦合强度的顺应者和负耦合强度的逆应者组成的Kuramoto模型。我们介绍了振子的固有频率分布与耦合强度之间的关系。我们考虑了三种不同类型的关联。我们发现这种关联产生了丰富的动力学结果，例如不同类型的行波态，最有趣的是，另一种类型的非定常态：振荡的π态。
As a paradigmatic model, the Kuramoto model has provided a platform for investigating synchronization among nonidentical oscillators. In this work, we consider the Kuramoto model consisting of conformists with positive coupling strength and contrarians with negative coupling strength. We introduce the correlation between the distributions of natural frequencies and the coupling strengths of oscillators. Three different types of correlations are considered. We find rich dynamics result from the correlation such as different types of traveling wave states and, most interestingly, another type of nonstationary state: an oscillating π state.