Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany.
Phys Rev Lett. 2013 May 24;110(21):218701. doi: 10.1103/PhysRevLett.110.218701. Epub 2013 May 23.
The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter we demonstrate that the nodes in a second-order Kuramoto model perform a cascade of transitions toward a synchronous macroscopic state, which is a novel phenomenon that we call cluster explosive synchronization. We provide a rigorous analytical treatment using a mean-field analysis in uncorrelated networks. Our findings are in good agreement with numerical simulations and fundamentally deepen the understanding of microscopic mechanisms toward synchronization.
爆发同步已被报道为一阶 Kuramoto 振子的复杂网络中的一个突然转变。在这封信中，我们证明二阶 Kuramoto 模型中的节点会发生一连串的转变，进入一个同步的宏观状态，这是一种我们称之为簇爆发同步的新现象。我们使用无关联网络中的平均场分析进行了严格的解析处理。我们的发现与数值模拟吻合得很好，从根本上深化了对同步的微观机制的理解。
