Ji Peng, Peron Thomas K D M, Rodrigues Francisco A, Kurths Jürgen
Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany and Department of Physics, Humboldt University, 12489 Berlin, Germany.
Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062810. doi: 10.1103/PhysRevE.90.062810. Epub 2014 Dec 18.
Correlations between intrinsic dynamics and local topology have become a new trend in the study of synchronization in complex networks. In this paper, we investigate the influence of topology on the dynamics of networks made up of second-order Kuramoto oscillators. In particular, based on mean-field calculations, we provide a detailed investigation of cluster explosive synchronization (CES) [Phys. Rev. Lett. 110, 218701 (2013)] in scale-free networks as a function of several topological properties. Moreover, we investigate the robustness of discontinuous transitions by including an additional quenched disorder, and we show that the phase coherence decreases with increasing strength of the quenched disorder. These results complement the previous findings regarding CES and also fundamentally deepen the understanding of the interplay between topology and dynamics under the constraint of correlating natural frequencies and local structure.
内在动力学与局部拓扑之间的相关性已成为复杂网络同步研究中的一个新趋势。在本文中，我们研究拓扑对由二阶Kuramoto振子组成的网络动力学的影响。特别地，基于平均场计算，我们详细研究了无标度网络中作为几种拓扑性质函数的簇爆同步（CES）[《物理评论快报》110, 218701 (2013)]。此外，我们通过引入额外的淬火无序来研究不连续转变的鲁棒性，并表明相位相干性随着淬火无序强度的增加而降低。这些结果补充了先前关于CES的发现，并且从根本上加深了对在自然频率与局部结构相关联的约束下拓扑与动力学之间相互作用的理解。
