Zhang Xiyun, Hu Xin, Kurths J, Liu Zonghua
Department of Physics, East China Normal University, Shanghai, 200062, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):010802. doi: 10.1103/PhysRevE.88.010802. Epub 2013 Jul 15.
Explosive synchronization (ES) has recently attracted much attention, where its two necessary conditions are found to be a scale-free network topology and a positive correlation between the natural frequencies of the oscillators and their degrees. Here we present a framework for ES to be observed in a general complex network, where a positive correlation between coupling strengths of the oscillators and the absolute of their natural frequencies is assumed and the previous studies are included as specific cases. In the framework, the previous two necessary conditions are replaced by another one, thus fundamentally deepening the understanding of the microscopic mechanism toward synchronization. A rigorous analytical treatment by a mean field is provided to explain the mechanism of ES in this alternate framework.
爆发性同步（ES）最近备受关注，其两个必要条件被发现是无标度网络拓扑以及振荡器的自然频率与其度数之间的正相关。在此，我们提出一个在一般复杂网络中观察到ES的框架，其中假设振荡器的耦合强度与其自然频率的绝对值之间存在正相关，并且先前的研究被纳入为具体情况。在该框架中，先前的两个必要条件被另一个条件所取代，从而从根本上深化了对同步微观机制的理解。提供了一种通过平均场的严格分析处理方法来解释在这个替代框架中的ES机制。
