Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA.
Chaos. 2011 Jun;21(2):025109. doi: 10.1063/1.3581168.
We investigate the effects that network topology, natural frequency distribution, and system size have on the path to global synchronization as the overall coupling strength between oscillators is increased in a Kuramoto network. In particular, we study the scenario recently found by Gómez-Gardeñes et al. [Phys. Rev. E 73, 056124 (2006)] in which macroscopic global synchronization emerges through a process whereby many small synchronized clusters form, grow, and merge, eventually leading to a macroscopic giant synchronized component. Our main result is that this scenario is robust to an increase in the number of oscillators or a change in the distribution function of the oscillators' natural frequencies, but becomes less prominent as the number of links per oscillator increases.
我们研究了在 Kuramoto 网络中，随着振荡器之间的总耦合强度增加，网络拓扑结构、自然频率分布和系统大小对全局同步路径的影响。特别是，我们研究了最近由 Gómez-Gardeñes 等人发现的情况[Phys. Rev. E 73, 056124 (2006)]，其中宏观全局同步通过许多小的同步簇形成、增长和合并的过程出现，最终导致宏观的巨大同步分量。我们的主要结果是，这种情况对振荡器数量的增加或振荡器自然频率分布函数的变化具有鲁棒性，但随着每个振荡器的链接数量的增加，这种情况变得不那么明显。
