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@ARTICLE{Ashwin:57782,
author = {Ashwin, P. and Burylko, O. and Maistrenko, Y. and Popovych,
O.},
title = {{E}xtreme sensitivity to detuning for globally coupled
phase oscillators},
journal = {Physical review letters},
volume = {96},
issn = {0031-9007},
address = {College Park, Md.},
publisher = {APS},
reportid = {PreJuSER-57782},
pages = {054102},
year = {2006},
note = {Record converted from VDB: 12.11.2012},
abstract = {We discuss the sensitivity of a population of coupled
oscillators to differences in their natural frequencies,
i.e., to detuning. We argue that for three or more
oscillators, one can get great sensitivity even if the
coupling is strong. For N globally coupled phase oscillators
we find there can be bifurcation to extreme sensitivity,
where frequency locking can be destroyed by arbitrarily
small detuning. This extreme sensitivity is absent for N =
2, appears at isolated parameter values for N = 3 and N = 4,
and can appear robustly for open sets of parameter values
for N >= 5 oscillators.},
keywords = {J (WoSType)},
cin = {IME},
ddc = {550},
cid = {I:(DE-Juel1)VDB54},
pnm = {Funktion und Dysfunktion des Nervensystems},
pid = {G:(DE-Juel1)FUEK409},
shelfmark = {Physics, Multidisciplinary},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000235252200030},
doi = {10.1103/PhysRevLett.96.054102},
url = {https://juser.fz-juelich.de/record/57782},
}