标题： 在全局耦合相位振子网络中生成宏观混沌 显示英文标题

标题： Generating macroscopic chaos in a network of globally coupled phase oscillators

摘要： 我们考虑一个全局耦合相位振荡器的无限网络，其中振荡器的自然频率是从对称双峰分布中抽取的。 我们证明当耦合强度随时间周期性变化时，这个系统中可以出现宏观混沌。 我们识别出宏观平均场的周期倍增级联到混沌、吸引子危机和马蹄动力学。 基于最近澄清静态双峰Kuramoto系统分岔结构的工作，我们定性地描述了在时间变化情况下产生这种复杂行为的机制。 显示英文摘要

摘要： We consider an infinite network of globally-coupled phase oscillators in which the natural frequencies of the oscillators are drawn from a symmetric bimodal distribution. We demonstrate that macroscopic chaos can occur in this system when the coupling strength varies periodically in time. We identify period-doubling cascades to chaos, attractor crises, and horseshoe dynamics for the macroscopic mean field. Based on recent work that clarified the bifurcation structure of the static bimodal Kuramoto system, we qualitatively describe the mechanism for the generation of such complicated behavior in the time varying case.