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000057782 084__ $$2WoS$$aPhysics, Multidisciplinary
000057782 1001_ $$0P:(DE-HGF)0$$aAshwin, P.$$b0
000057782 245__ $$aExtreme sensitivity to detuning for globally coupled phase oscillators
000057782 260__ $$aCollege Park, Md.$$bAPS$$c2006
000057782 300__ $$a054102
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000057782 520__ $$aWe discuss the sensitivity of a population of coupled oscillators to differences in their natural frequencies, i.e., to detuning. We argue that for three or more oscillators, one can get great sensitivity even if the coupling is strong. For N globally coupled phase oscillators we find there can be bifurcation to extreme sensitivity, where frequency locking can be destroyed by arbitrarily small detuning. This extreme sensitivity is absent for N = 2, appears at isolated parameter values for N = 3 and N = 4, and can appear robustly for open sets of parameter values for N >= 5 oscillators.
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000057782 7001_ $$0P:(DE-HGF)0$$aBurylko, O.$$b1
000057782 7001_ $$0P:(DE-Juel1)VDB58570$$aMaistrenko, Y.$$b2$$uFZJ
000057782 7001_ $$0P:(DE-Juel1)VDB33806$$aPopovych, O.$$b3$$uFZJ
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000057782 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevLett.96.054102
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