Community structure in real-world networks from a non-parametrical synchronization-based dynamical approach

Abdelmalik Moujahid, d’Anjou, Alicia and Blanca Cases

Chaos, Solitons & Fractals, 2012, vol. 45, issue 9, 1171-1179

Abstract: This work analyzes the problem of community structure in real-world networks based on the synchronization of nonidentical coupled chaotic Rössler oscillators each one characterized by a defined natural frequency, and coupled according to a predefined network topology. The interaction scheme contemplates an uniformly increasing coupling force to simulate a society in which the association between the agents grows in time. To enhance the stability of the correlated states that could emerge from the synchronization process, we propose a parameterless mechanism that adapts the characteristic frequencies of coupled oscillators according to a dynamic connectivity matrix deduced from correlated data. We show that the characteristic frequency vector that results from the adaptation mechanism reveals the underlying community structure present in the network.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:9:p:1171-1179

DOI: 10.1016/j.chaos.2012.06.007

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