标题： 动态链接切换在稀疏网络中诱导稳定的同步状态 显示英文标题

标题： Dynamic link switching induces stable synchronized states in sparse networks

摘要： 网络系统中由多个相互作用元件组成的系统中的信息流动强烈依赖于这些元件之间的连通性水平。 稀疏的连通性通常会阻碍全局共享信息的状态的出现，例如完全同步状态。 在这一背景下，动态地在系统元件之间切换现有的网络链接可以促进同步的发生。 然而，确定链接应以何种最优速率进行切换以确保渐近稳定的同步行为仍然是一个开放问题。 在此，我们研究了具有稀疏层间连通性的FitzHugh-Nagumo振子双层网络中的这一问题。 具体而言，我们证明了更快的层间链接切换，能够扫过更多的振子，比在相同振子上保持链接更长时间更能有效建立层间同步。 我们还评估了随着层大小增加，快速切换链接的有效性。 在简化系统中，我们引入了平滑的方波函数来模拟链接切换，最终将不连续性引入系统动力学。 这种方法使得可以评估由切换链接引起的同步状态的横向稳定性。 显示英文摘要

摘要： The flow of information in networked systems composed of multiple interacting elements strongly depends on the level of connectivity among these elements. Sparse connectivity often hinders the emergence of states where information is globally shared, such as fully synchronized states. In this context, dynamically switching the existing network links among the system elements can facilitate the onset of synchronization. However, determining the optimal rate at which links should be switched to ensure asymptotically stable synchronized behavior remains an open question. Here, we address this issue in a double-layer network of FitzHugh-Nagumo oscillators with sparse inter-layer connectivity. Specifically, we demonstrate that faster switching of the inter-layer links, which sweeps through a more significant number of oscillators, is more effective in establishing inter-layer synchronization than maintaining links on the identical oscillators for extended durations. We also evaluate the effectiveness of fast-switching links as the layer size increases. In a reduced system, we introduce smooth square-wave functions to emulate link switching, eventually introducing discontinuities into the system dynamics. This approach enables the assessment of the transverse stability of synchronized states induced by switching links.