| Title: |
Response times of nodes in a complex network environment -- two potential derivation tracks |
| Authors: |
Hens, Chittaranjan; Harush, Uzi; Haber, Simcha; Cohen, Reuven; Barzel, Baruch |
| Publication Year: |
2020 |
| Collection: |
Condensed Matter; Nonlinear Sciences |
| Subject Terms: |
Nonlinear Sciences - Adaptation and Self-Organizing Systems; Condensed Matter - Statistical Mechanics |
| Description: |
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 $\tau_i$. The relevant scaling exponent $\theta$ can be analytically traced to the system's nonlinear dynamics. Here we show that $\theta$ 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.; Comment: 12 pages, 1 figure |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2006.04738 |
| Accession Number: |
edsarx.2006.04738 |
| Database: |
arXiv |