涨落同步振子网络中的罕见滑移
Rare slips in fluctuating synchronized oscillator networks
摘要：
我们研究罕见的相位滑移由于同步仓本振荡器网络中的噪声。在小噪声的限制下，我们证明了滑动发生通过大的波动鞍相位锁定状态。对于树拓扑，滑移出现在子图之间，这些子图在鞍结分叉处断开，其中锁相状态一般失去稳定性。通过几个示例，我们将为稀疏网络演示此模式。标度法推导和比较不同的树拓扑结构。另一方面，对于密集网络，频率分布的边缘上的振荡器之间发生滑动。如果分布是离散的，则发生大波动的概率指数与系统大小成线性比例。然而，如果分布是连续的，则在大网络极限中概率是常数，因为单个振荡器波动到鞍点，而所有其他振荡器保持固定。在后一种情况下，网络的一致性近似保持。
英文摘要：
We study rare phase slips due to noise in synchronized Kuramoto oscillator networks. In the small-noise limit, we demonstrate that slips occur via large fluctuations to saddle phase-locked states. For tree topologies, slips appear between subgraphs that become disconnected at a saddle-node bifurcation, where phase-locked states lose stability generically. This pattern is demonstrated for sparse networks with several examples. Scaling laws are derived and compared for different tree topologies. On the other hand, for dense networks slips occur between oscillators on the edges of the frequency distribution. If the distribution is discrete, the probability-exponent for large fluctuations to occur scales linearly with the system size. However, if the distribution is continuous, the probability is a constant in the large network limit, as individual oscillators fluctuate to saddles while all others remain fixed. In the latter case, the network's coherence is approximately preserved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
