Gómez-Gardeñes Jesús, Moreno Yamir, Arenas Alex
Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain.
Phys Rev Lett. 2007 Jan 19;98(3):034101. doi: 10.1103/PhysRevLett.98.034101. Epub 2007 Jan 18.
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.
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元的同步因其在自然界中的普遍存在而受到深入研究。在本信函中，我们展示了对于固定的耦合强度，同步的局部模式在均匀和非均匀复杂网络中如何以不同方式出现，沿着不同路径推动过程达到特定的全局同步程度。揭示了动力学对耦合强度和拓扑结构的依赖性。这项研究为理解这种新兴现象提供了新的视角和工具。
