The phenomenon of explosive synchronization where asynchronous oscillators abruptly undergo synchronization in complex networks is often considered to be an emergent effect due to correlations imposed on system parameters. However, such correlation constraints avoid flexibility, generality, and applicability. We consider classical Kuramoto oscillators on complete bipartite networks with frequency heterogeneity. We observe that the presence of two different timescales between oscillators in the two partitions gives rise to explosive synchronization, first-order phase transitions, and hysteresis. Macroscopic quantitative measures like order parameter and the average phase of oscillators are derived to describe the explosive synchronization. Further, the critical points for the first-order phase transitions are obtained analytically. Finally, the analytical estimates are compared with numerical results, and they are found to be in good agreement.

在复杂网络中异步振荡器突然同步的爆炸性同步现象通常被认为是由于强加于系统参数的相关性而产生的紧急效应。然而，这种相关性约束避免了灵活性、通用性和适用性。我们在具有频率异质性的完整二分网络上考虑经典 Kuramoto 振荡器。我们观察到，两个分区中振荡器之间存在两个不同的时间尺度会导致爆炸性同步、一阶相变和滞后。推导出诸如阶次参数和振荡器平均相位之类的宏观定量度量来描述爆炸性同步。此外，一阶相变的临界点是通过分析获得的。最后，