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Interplay of degree correlations and cluster synchronization

机译：相互作用相关性和群集同步

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摘要

We study the evolution of coupled chaotic dynamics on networks and investigate the role of degree-degree correlation in the networks' cluster synchronizability. We find that an increase in the disassortativity can lead to an increase or a decrease in the cluster synchronizability depending on the degree distribution and average connectivity of the network. Networks with heterogeneous degree distribution exhibit significant changes in cluster synchronizability as well as in the phenomena behind cluster synchronization as compared to those of homogeneous networks. Interestingly, cluster synchronizability of a network may be very different from global synchronizability due to the presence of the driven phenomenon behind the cluster formation. Furthermore, we show how degeneracy at the zero eigenvalues provides an understanding of the occurrence of the driven phenomenon behind the synchronization in disassortative networks. The results demonstrate the importance of degree-degree correlations in determining cluster synchronization behavior of complex networks and hence have potential applications in understanding and predicting dynamical behavior of complex systems ranging from brain to social systems.
机译：我们研究了网络上耦合混沌动力学的演变，并调查了网络集群同步性中程度相关性的作用。我们发现，根据网络的程度分布和平均连接，抵消的增加可能导致群集可同步性的增加或减少。具有异构度分布的网络表现出簇同步性的显着变化以及与均质网络相比的群集同步背后的现象。有趣的是，由于在群集形成后面的驱动现象存在，网络的群集同步性与全局同步性相差。此外，我们展示了零特征值的退化程度是如何理解在解码网络中同步背后的驱动现象的发生。结果表明，在确定复杂网络的集群同步行为中，具有学位相关性的重要性，因此具有理解和预测从大脑到社会系统的复杂系统的动态行为的潜在应用。

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