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Hierarchical synchronization in complex networks with heterogeneous degrees

  • We study synchronization behavior in networks of coupled chaotic oscillators with heterogeneous connection degrees. Our focus is on regimes away from the complete synchronization state, when the coupling is not strong enough, when the oscillators are under the influence of noise or when the oscillators are nonidentical. We have found a hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network. Oscillators with more connections (hubs) are synchronized more closely by the collective dynamics and constitute the dynamical core of the network. The numerical observation of this hierarchical synchronization is supported with an analysis based on a mean field approximation and the master stability function. (C) 2006 American Institute of Physics

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Author details:Changsong ZhouGND, Jürgen KurthsORCiDGND
URL:http://scitation.aip.org/getpdf/servlet/ GetPDFServlet?filetype=pdf&id=CHAOEH000016000001015104000001&idtype=cvips&doi=10.1063/1.2150381&prog=normal
DOI:https://doi.org/10.1063/1.2150381
ISSN:1054-1500
Publication type:Article
Language:English
Year of first publication:2006
Publication year:2006
Release date:2017/03/25
Source:Chaos : an interdisciplinary journal of nonlinear science. - ISSN 1054-1500. - 16 (2006), 1, Art. No. 015104
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
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