标题： 存在破坏相位移对称性的非对称相互作用的Sakaguchi-Kuramoto模型 显示英文标题

标题： The Sakaguchi-Kuramoto model in presence of asymmetric interactions that break phase-shift symmetry

摘要： 著名的 Kuramoto 模型提供了一个可以解析处理的框架，用于研究自发的集体同步，并包括全局耦合的极限环振荡器，它们相互之间对称地进行交互。 Sakaguchi-Kuramoto 模型是对基本模型的一种推广，考虑了在交互中存在一个相位滞后参数，从而使振荡器对之间的交互变得不对称。 在这里，我们通过添加一种打破模型相位移对称性的交互，进一步推广了该模型。 我们研究的亮点是揭示了一个非常丰富的分岔图，包括振荡和非振荡同步状态以及一个无序状态：在我们的模型中，由于不对称交互，存在两个状态以及一种有趣且此前未被探索的三个状态共存区域。 显示英文摘要

摘要： The celebrated Kuramoto model provides an analytically tractable framework to study spontaneous collective synchronization and comprises globally coupled limit-cycle oscillators interacting symmetrically with one another. The Sakaguchi-Kuramoto model is a generalization of the basic model that considers the presence of a phase-lag parameter in the interaction, thereby making it asymmetric between oscillator pairs. Here, we consider a further generalization, by adding an interaction that breaks the phase-shift symmetry of the model. The highlight of our study is the unveiling of a very rich bifurcation diagram comprising of both oscillatory and non-oscillatory synchronized states as well as an incoherent state: There are regions of two-state as well as an interesting and hitherto unexplored three-state coexistence arising from asymmetric interactions in our model.