Abstract Recently, the explosive synchronization (ES) has attracted great interests. Motivated by the recent dynamic framework of complex network, we focus on the network of mobile oscillators and study synchronization phenomenon. The local synchronous order parameter of the neighbors of the oscillator is used as the controllable variable to adjust the coupling strength of the oscillator. Hence, it can be seen as a kind of adaptive strategy. By numerical simulation, we find that ES can be observed in the dynamic network of mobile oscillators, accompanying with hysteresis loop, as the coupling strength increases gradually. It is found that the critical value of coupling strength and hysteresis loop width is affected by the natural frequency distribution and the number of neighbors the oscillator owning. It can be deduced that ES will be motivated by increasing the number of oscillators in the network. Meanwhile, our results are feasible to different natural frequency distributions, such as Lorentzian, Gaussian power-law, and Rayleigh distribution, whether it is symmetric or not.

中文翻译：

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移动振荡器网络中的爆炸同步

摘要 最近，爆炸性同步（ES）引起了极大的兴趣。受最近复杂网络动态框架的启发，我们专注于移动振荡器网络并研究同步现象。以振荡器邻居的本地同步阶次参数作为可控变量来调整振荡器的耦合强度。因此，它可以被看作是一种自适应策略。通过数值模拟，我们发现在移动振荡器的动态网络中可以观察到ES，伴随着磁滞回线，随着耦合强度逐渐增加。发现耦合强度和磁滞回线宽度的临界值受固有频率分布和振荡器拥有的邻居数量的影响。可以推断，ES 将通过增加网络中的振荡器数量来激励。同时，我们的结果对于不同的自然频率分布都是可行的，例如洛伦兹分布、高斯幂律分布和瑞利分布，无论是否对称。