Synchronization processes in complex networks
arXiv:nlin/0610057 · doi:10.1016/j.physd.2006.09.029
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.
16 pages, 4 figures. To appear in Physica D "Special Issue on dynamics on complex networks"
References in corpus (5)
- Modularity and community structure in networks
- Uncovering the overlapping community structure of complex networks in nature and society
- Comparing community structure identification
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Synchronization transition in scale-free networks: Clusters of synchrony
Cited by in corpus (12)
- Synchronization in complex networks
- Critical phenomena in complex networks
- Detecting the overlapping and hierarchical community structure of complex networks
- Analysis of the structure of complex networks at different resolution levels
- Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
- Delay-induced multiple stochastic resonances on scale-free neuronal networks
- Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
- Laplacian spectra of complex networks and random walks on them: Are scale-free architectures really important?
- Laplacian Spectra as a Diagnostic Tool for Network Structure and Dynamics
- Synchronizability determined by coupling strengths and topology on Complex Networks
- Dynamical and spectral properties of complex networks
- Impact of community structure on information transfer