Basin of attraction determines hysteresis in explosive synchronization

Y. Zou, T.S. Pereira, Michael Small, Z. Liu, J. Kurths

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    103 Citations (Scopus)
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    Spontaneous explosive emergent behavior takes place in heterogeneous networks when the frequencies of the nodes are positively correlated to the node degree. A central feature of such explosive transitions is a hysteretic behavior at the transition to synchronization. We unravel the underlying mechanisms and show that the dynamical origin of the hysteresis is a change of basin of attraction of the synchronization state. Our findings hold for heterogeneous networks with star graph motifs such as scale-free networks, and hence, reveal how microscopic network parameters such as node degree and frequency affect the global network properties and can be used for network design and control. © 2014 American Physical Society.
    Original languageEnglish
    Pages (from-to)114102-1 - 114102-5
    JournalPhysical Review Letters
    Issue number11
    Publication statusPublished - 18 Mar 2014


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