Synchronization Probability in Large Complex Networks

    Authors

    S. Manaffam;A. Seyedi

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Circuits Syst. II-Express Briefs

    Keywords

    Complex network; nonlinear network analysis; random network; small-worlds; synchronization; WORLD DYNAMICAL NETWORKS; OSCILLATORS; MATRICES; MODEL; Engineering, Electrical & Electronic

    Abstract

    In a generalized framework, where multistate and interstate linkages are allowed, the synchronization of oscillators in random networks is investigated. A sufficient condition for the stability of synchronization is derived, which explicitly relates the network structure and the local and coupling dynamics to synchronization stability. This condition is then translated into a lower bound on the probability of stability of synchrony for large Erdos-Renyi and Newman-Watts small-world networks.

    Journal Title

    Ieee Transactions on Circuits and Systems Ii-Express Briefs

    Volume

    60

    Issue/Number

    10

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    697

    Last Page

    701

    WOS Identifier

    WOS:000326110800017

    ISSN

    1549-7747

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