论文标题
复杂网络环境中节点的响应时间 - 两个潜在的派生轨道
Response times of nodes in a complex network environment -- two potential derivation tracks
论文作者
论文摘要
扰动信号在复杂网络中的传播受网络拓扑及其内在的非线性动力学的综合效果的控制。最近，已分析和预测所得的扩展模式，证明取决于单个缩放关系，将节点的加权度$ s_i $与其内在响应时间$τ_i$联系起来。相关的缩放指数$θ$可以分析地追溯到系统的非线性动力学。在这里，我们表明$θ$可以通过两个不同的派生轨道获得，从而导致函数看似不同。分析结果的预测，我们发现，尽管它们的形式独特，但它们完全一致，可以预测潜在的不同类型的动力学下的缩放关系。
The spread of perturbative signals in complex networks is governed by the combined effect of the network topology and its intrinsic nonlinear dynamics. Recently, the resulting spreading patterns have been analyzed and predicted, shown to depend on a single scaling relationship, linking a node's weighted degree $S_i$ to its intrinsic response time $τ_i$. The relevant scaling exponent $θ$ can be analytically traced to the system's nonlinear dynamics. Here we show that $θ$ can be obtained via two different derivation tracks, leading to seemingly different functions. Analyzing the resulting predictions, we find that, despite their distinct form, they are fully consistent, predicting the exact same scaling relationship under potentially diverse types of dynamics.
