论文标题
耦合的Moebius地图作为建模库拉莫托相同步的工具
Coupled Moebius Maps as a Tool to Model Kuramoto Phase Synchronization
论文作者
论文摘要
我们建议Moebius地图作为模拟耦合相振荡器中同步现象的工具。该地图不仅提供了相同步的快速计算，还反映了正弦曲线耦合的连续相动态的基本组结构。我们研究了各种已知连续时间集体动力学的地图版本，例如非相同振荡器的Kuramoto-Sakaguchi模型中的同步过渡，在两个相同相位振荡器的两个耦合群中的嵌合体，以及Kuramoto-Battogtokh Chimeras在环上的相似性和相似的模型和相似的模型和估计的模型和差异。
We propose Moebius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of non-identical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts.
