Citation

BibTex format

@article{Rosas:2019:10.1038/s41598-019-46345-y,
author = {Rosas, De Andraca FE and Faggian, M and Ginelli, F and Levnajic, Z},
doi = {10.1038/s41598-019-46345-y},
journal = {Scientific Reports},
pages = {1--11},
title = {Synchronization in time-varying random networks with vanishing connectivity},
url = {http://dx.doi.org/10.1038/s41598-019-46345-y},
volume = {9},
year = {2019}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite forthe emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phaseoscillators in which the links mediating the interactions are constantly rearranged with a characteristic timescale and, possibly,an extremely low instantaneous connectivity. We show that with strong coupling and sufficiently fast rewiring the networkreaches partial synchronization even in the vanishing connectivity limit. In particular, we provide an approximate analyticalargument, based on the comparison between the different characteristic timescales of our system in the low connectivityregime, which is able to predict the transition to synchronization threshold with satisfactory precision beyond the formal fastrewiring limit. We interpret our results as a qualitative mechanism for emergence of consensus in social communities. Inparticular, our result suggest that groups of individuals are capable of aligning their opinions under extremely sparse exchangesof views, which is reminiscent of fast communications that take place in the modern social media. Our results may also berelevant to characterize the onset of collective behavior in engineered systems of mobile units with limited wireless capabilities
AU - Rosas,De Andraca FE
AU - Faggian,M
AU - Ginelli,F
AU - Levnajic,Z
DO - 10.1038/s41598-019-46345-y
EP - 11
PY - 2019///
SN - 2045-2322
SP - 1
TI - Synchronization in time-varying random networks with vanishing connectivity
T2 - Scientific Reports
UR - http://dx.doi.org/10.1038/s41598-019-46345-y
UR - https://www.nature.com/articles/s41598-019-46345-y
UR - http://hdl.handle.net/10044/1/71659
VL - 9
ER -