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dc.contributor.authorAshwin, Peteren_GB
dc.contributor.authorBurylko, Oleksandren_GB
dc.contributor.authorMaistrenko, Yurien_GB
dc.contributor.authorPopovych, Oleksandren_GB
dc.date.accessioned2008-03-07T15:07:13Zen_GB
dc.date.accessioned2011-01-25T10:33:31Zen_GB
dc.date.accessioned2013-03-20T12:37:54Z
dc.date.issued2006-02-06en_GB
dc.description.abstractWe 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 ≥ 5 oscillators.en_GB
dc.identifier.citationVol. 96, article 054102en_GB
dc.identifier.doi10.1103/PhysRevLett.96.054102en_GB
dc.identifier.urihttp://hdl.handle.net/10036/20058en_GB
dc.language.isoenen_GB
dc.publisherAmerican Physical Societyen_GB
dc.subjectbifurcationen_GB
dc.subjectphase locked oscillatorsen_GB
dc.subjectnonlinear dynamical systemsen_GB
dc.titleExtreme Sensitivity to Detuning for Globally Coupled Phase Oscillatorsen_GB
dc.typeArticleen_GB
dc.date.available2008-03-07T15:07:13Zen_GB
dc.date.available2011-01-25T10:33:31Zen_GB
dc.date.available2013-03-20T12:37:54Z
dc.identifier.issn0031-9007en_GB
dc.identifier.issn1079-7114en_GB
dc.descriptionPeter Ashwin, Oleksandr Burylko, Yuri Maistrenko, and Oleksandr Popovych, Physical Review Letters, Vol. 96, p. 054102 (2006). "Copyright © 2006 by the American Physical Society."en_GB
dc.identifier.journalPhysical Review Lettersen_GB


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