Questions, Feedback & Help
Send us an email and we'll get back to you ASAP. Or you can read our Frequently Asked Questions.
  • page settings
  • hide sidebar
  • show empty fields
  • layout
  • (too narrow)
  • open all
  • close all
Resources » Paper

Perez T et al. (2011) Chaos "Phase clustering in complex networks of delay-coupled oscillators."

  • History

  • Referenced

  • Tree Display

  • My Favorites

  • My Library

  • Comments on Perez T et al. (2011) Chaos "Phase clustering in complex networks of delay-coupled oscillators." (0)

  • Overview

    PMID:
    21721789
    DOI:
    10.1063/1.3595601
    Status:
    Publication type:
    Journal_article
    WormBase ID:
    WBPaper00039844

    Perez T, Eguiluz VM, & Arenas A (2011). Phase clustering in complex networks of delay-coupled oscillators. Chaos, 21, 025111. doi:10.1063/1.3595601

    We study the clusterization of phase oscillators coupled with delay in complex networks. For the case of diffusive oscillators, we formulate the equations relating the topology of the network and the phases and frequencies of the oscillators (functional response). We solve them exactly in directed networks for the case of perfect synchronization. We also compare the reliability of the solution of the linear system for non-linear couplings. Taking advantage of the form of the solution, we propose a frequency adaptation rule to achieve perfect synchronization. We also propose a mean-field theory for uncorrelated random networks that proves to be pretty accurate to predict phase synchronization in real topologies, as for example, the Caenorhabditis elegans or the autonomous systems connectivity.


    Tip: Seeing your name marked red? Please help us identify you.