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

Author

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  • Moujahid, Abdelmalik
  • d’Anjou, Alicia
  • Cases, Blanca

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.

Suggested Citation

  • Moujahid, Abdelmalik & d’Anjou, Alicia & Cases, Blanca, 2012. "Community structure in real-world networks from a non-parametrical synchronization-based dynamical approach," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1171-1179.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:9:p:1171-1179
    DOI: 10.1016/j.chaos.2012.06.007
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    References listed on IDEAS

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    1. Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
    2. Li, Chunguang & Chen, Guanrong, 2004. "Phase synchronization in small-world networks of chaotic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 73-79.
    3. Ann E. Krause & Kenneth A. Frank & Doran M. Mason & Robert E. Ulanowicz & William W. Taylor, 2003. "Compartments revealed in food-web structure," Nature, Nature, vol. 426(6964), pages 282-285, November.
    4. Pablo M. Gleiser & Leon Danon, 2003. "Community Structure In Jazz," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 565-573.
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