Synchronization processes in complex networks

2006/10/23 by Alex Arenas, Àlex Arenas, Albert Dı́az-Guilera +3
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #nlin.AO #physics.soc-ph

paper · pdf · doi:10.1016/j.physd.2006.09.029

16 pages, 4 figures. To appear in Physica D "Special Issue on dynamics on complex networks"

arxiv created 2006/10/23 · openalex publication_date 2006/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to well defined communities of nodes appear in a hierarchical way. The analysis also provides a useful connection between synchronization dynamics, complex networks topology and spectral graph analysis.

Citations

• Synchronization transition in scale-free networks: Clusters of synchrony
• Network synchronization, diffusion, and the paradox of heterogeneity
• Comparing community structure identification
• Statistical mechanics of complex networks
• The structure and function of complex networks
• Uncovering the overlapping community structure of complex networks in nature and society