论文标题
在异质相振荡器种群中爆炸性同步的通用标准
Generic criterion for explosive synchronization in heterogeneous phase oscillator populations
论文作者
论文摘要
在大型振荡器的大集合中，有序和无序的行为映射到各种功能状态，例如大脑中的主动和静止状态以及稳定且不稳定的功率网格配置。因此，爆炸性同步转变促进了这些功能状态之间的快速，突然变化，最近引起了研究人员的重大兴趣。尽管以前的工作已经确定了支持爆炸性同步的复杂系统的属性，但这些研究主要是在临时基础上进行的。在这里，我们通过研究动力学和结构障碍之间的必要关系，为耦合相振荡器集合中的爆炸性同步提供了确切的标准。该结果为解开负责生物和工程系统中突然相变和双重性的复杂系统的相互交织特性提供了关键的一步。
Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states in a wide range of applications, e.g., active and resting states in the brain and stable and unstable power grid configurations. For this reason, explosive synchronization transitions, which facilitate fast, abrupt changes between these functional states, has recently seen significant interest from researchers. While previous work has identified properties of complex systems that support explosive synchronization, these investigations have been conducted largely on an ad-hoc basis. Here we provide an exact criterion for explosive synchronization in coupled phase oscillator ensembles by investigating the necessary relationship between dynamical and structural disorder. This result provides a critical step towards untangling the intertwined properties of complex systems responsible for abrupt phase transitions and bistability in biological and engineered systems.
