论文标题
具有非限定相响应曲线的无绞合模型：Ott-Antonsen理论
The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory
论文作者
论文摘要
分析研究了在有限耦合下代表相减少的全球耦合相振荡器的新型概括。与原始模型的无限PRC相比，我们考虑通过非限量（或有限）相位反应曲线（PRC）的相互作用。对于一个非临时PRC的家族，全局动力学是由一个复杂值的普通微分方程捕获的，该方程诉诸Ott-Antonsen Ansatz。因此，对于四个非限体PRC的说明性案例，获得了相图。在所有情况下，都可以观察到集体同步和完全去同步之间的双重性。
A novel generalization of the Winfree model of globally coupled phase oscillators, representing phase reduction under finite coupling, is studied analytically. We consider interactions through a non-infinitesimal (or finite) phase-response curve (PRC), in contrast to the infinitesimal PRC of the original model. For a family of non-infinitesimal PRCs, the global dynamics is captured by one complex-valued ordinary differential equation resorting to the Ott-Antonsen ansatz. The phase diagrams are thereupon obtained for four illustrative cases of non-infinitesimal PRC. Bistability between collective synchronization and full desynchronization is observed in all cases.
