Paths to synchronization on complex networks

Paths to synchronization on complex networks
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DOI:
10.1103/physrevlett.98.034101
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发表时间:
2007-01-19
影响因子:
8.6
通讯作者:
Arenas, Alex
Arenas, Alex
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Gomez-Gardenes, Jesus;Moreno, Yamir;Arenas, Alex

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几十年来,对自然和社会系统中涌现的集体现象的理解激发了不同学科科学家的兴趣。在这些现象中,一组相互作用的个体或单位的同步由于其在自然界的普遍存在而得到了广泛的研究。在本文中,我们展示了对于固定耦合强度,局部同步模式如何在同质和异构复杂网络中以不同的方式出现,从而沿着不同的路径推动该过程朝着一定的全局同步程度发展。揭示了动力学对耦合强度和拓扑结构的依赖关系。本研究为理解这一新兴现象提供了新的视角和工具。
The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenomena, the synchronization of a set of interacting individuals or units has been intensively studied because of its ubiquity in the natural world. In this Letter, we show how for fixed coupling strengths local patterns of synchronization emerge differently in homogeneous and heterogeneous complex networks, driving the process towards a certain global synchronization degree following different paths. The dependence of the dynamics on the coupling strength and on the topology is unveiled. This study provides a new perspective and tools to understand this emerging phenomena.