Community structure in real-world networks from a non-parametrical synchronization-based dynamical approach |
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Authors: | Abdelmalik Moujahid Alicia d’Anjou Blanca Cases |
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Affiliation: | 1. Automation Department, Technical University of Cluj-Napoca, Memorandumului 28, 400114 Cluj-Napoca, Romania;2. Université de Lorraine, CRAN, UMR 7039, 2 av. Forêt de Haye, Vand?uvre-lès-Nancy, France;3. CNRS, CRAN, UMR 7039, 2 av. Forêt de Haye, Vand?uvre-lès-Nancy, France;1. University Pablo de Olavide, Seville, Spain;2. University of Seville, Seville, Spain;3. University CEU San Pablo, Seville, Spain |
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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. |
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