论文标题
迁移率对非局部耦合振荡器同步与相位滞后的影响
Effect of mobility on synchronization of nonlocally coupled oscillators with a phase lag
论文作者
论文摘要
具有相位滞后的非局部耦合振荡器会自组织为各种模式，例如全局同步，扭曲状态和嵌合体状态。在本文中，我们考虑了通过随机与邻居交换位置在环上移动的非全球耦合振荡器，并研究了相位滞后和移动性对集体相动态的综合影响。跨越整个相位滞后和迁移率的范围，我们表明迁移率促进了具有有吸引力的耦合的同步，同时它会破坏连贯性的排斥耦合。根据振荡器的同步和扩散的时间尺度讨论了过渡行为。我们还发现了连贯和不一致的状态之间边界的新型时空模式。
Nonlocally coupled oscillators with a phase lag self-organize into various patterns such as global synchronization, the twisted state, and the chimera state. In this paper, we consider nonlocally coupled oscillators that move on a ring by randomly exchanging their positions with the neighbors, and investigate the combined effects of phase lag and mobility on the collective phase dynamics. Spanning the whole range of phase lag and mobility, we show that mobility promotes synchronization for an attractive coupling, while it destroys coherence for a repulsive coupling. The transition behaviors are discussed in terms of the timescales of synchronization and diffusion of the oscillators. We also find a novel spatiotemporal pattern at the border between coherent and incoherent states.
