TY  - JOUR
AU  - Ashwin, P.
AU  - Burylko, O.
AU  - Maistrenko, Y.
AU  - Popovych, O.
TI  - Extreme sensitivity to detuning for globally coupled phase oscillators
JO  - Physical review letters
VL  - 96
SN  - 0031-9007
CY  - College Park, Md.
PB  - APS
M1  - PreJuSER-57782
SP  - 054102
PY  - 2006
N1  - Record converted from VDB: 12.11.2012
AB  - 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.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000235252200030
DO  - DOI:10.1103/PhysRevLett.96.054102
UR  - https://juser.fz-juelich.de/record/57782
ER  -