Synchronization processes in complex networks
By Alex Arenas, Albert Díaz-Guilera, C. Pérez-Vicente. 2006
159 citations recorded by the source corpus.
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.
Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/92955c890d05467618f3776c87aa1c40623758b9
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In Computer Networks and Communications
- Jürgen Kurths
- Alex Arenas
- Yamir Moreno
- Francisco Aparecido Rodrigues
- Albert Díaz-Guilera
- Changsong Zhou
- Peng Ji
- Thomas K. D. M. Peron
In Statistical and Nonlinear Physics
- Jürgen Kurths
- Alex Arenas
- Santo Fortunato
- Francisco Aparecido Rodrigues
- Yamir Moreno
- Sergio Gómez
- Peng Ji
- Thomas K. D. M. Peron
Citations in the corpus
- Synchronization in complex networks (2008, methodology): “The method is closely related to the determination of community structure via synchronization processes devised by several authors (Arenas et al., 2006b; Boccaletti et al., 2007).”
- Analysis of the structure of complex networks at different resolution levels (2007, methodology): “To check this hypothesis, we have implemented a synchronization dynamics on top of different topologies following [23, 29].”
- The Kuramoto model in complex networks (2015, methodology): “[153, 156, 157] so that communities can be automatically assigned.”