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Phase-lag synchronization analysis in complex systems with directed inter-relations

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  • Synchronization and Control in Time Delayed and other Networks
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Abstract

In this work, we proposed a novel way to estimate phase-lag synchronization in coupled systems. This approach was applied into two systems: a directed-coupled Rössler-Lorenz system and a network of Izhikevich neurons. For the former case, the phase-lag synchronization revealed an increase in complexity for the Lorenz subsystem components, when the coupling is activated. The opposite behavior was observed when the Izhikevich network were organized in a hierarchical way. Our results point out to emergent synchronism related to causal interactions in coupled complex systems.

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Authors and Affiliations

  1. Hospital Israelita Albert Einstein, São Paulo, Brazil

    V.S.G. Martins, A.C. Rodrigues & B.S. Machado

  2. Universidade Federal de Campina Grande, Campina Grande, Brazil

    V.S.G. Martins

  3. Bioinformatics Interunits Graduate Program, University of São Paulo, São Paulo, Brazil

    A.C. Rodrigues

  4. Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo, Brazil

    H.A. Cerdeira

Authors
  1. V.S.G. Martins
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  2. A.C. Rodrigues
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  3. H.A. Cerdeira
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  4. B.S. Machado
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Correspondence to B.S. Machado.

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Martins, V., Rodrigues, A., Cerdeira, H. et al. Phase-lag synchronization analysis in complex systems with directed inter-relations. Eur. Phys. J. Spec. Top. 225, 41–49 (2016). https://doi.org/10.1140/epjst/e2016-02618-7

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  • DOI: https://doi.org/10.1140/epjst/e2016-02618-7

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