@article{Faggian,
author = {Faggian, M and Ginelli, F and Rosas, F and Levnaji, Z},
title = {Synchronization in time-varying random networks with vanishing  connectivity},
url = {http://arxiv.org/abs/1811.09591v1},
}

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TY  - JOUR
AB  - A sufficiently connected topology linking the constituent units of a complexsystem is usually seen as a prerequisite for the emergence of collectivephenomena such as synchronization. We present a random network of heterogeneousphase oscillators in which the links mediating the interactions are constantlyrearranged with a characteristic timescale and, possibly, an extremely lowinstantaneous connectivity. We show that, provided strong coupling and fastenough rewiring are considered, the network is able to reach partialsynchronization even in the vanishing connectivity limit. We also provide anintuitive analytical argument, based on the comparison between the differentcharacteristic timescales of our system in the low connectivity regime, whichis able to predict the transition to synchronization threshold withsatisfactory precision. In the formal fast switching limit, finally, we arguethat the onset of collective synchronization is captured by the time-averagedconnectivity network. Our results may be relevant to qualitatively describe theemergence of consensus in social communities with time-varying interactions andto study the onset of collective behavior in engineered systems of mobile unitswith limited wireless capabilities.
AU  - Faggian,M
AU  - Ginelli,F
AU  - Rosas,F
AU  - Levnaji,Z
TI  - Synchronization in time-varying random networks with vanishing  connectivity
UR  - http://arxiv.org/abs/1811.09591v1
ER  - 

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