Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators

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Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators

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dc.contributor.author Ashwin, Peter en_GB
dc.contributor.author Burylko, Oleksandr en_GB
dc.contributor.author Maistrenko, Yuri en_GB
dc.contributor.author Popovych, Oleksandr en_GB
dc.contributor.department University of Exeter; National Academy of Sciences of Ukraine; Institute of Medicine and Virtual Institute of Neuromodulation, Jülich, Germany en_GB
dc.date.accessioned 2008-03-07T15:07:13Z en_GB
dc.date.accessioned 2011-01-25T10:33:31Z en_US
dc.date.accessioned 2013-03-20T12:37:54Z
dc.date.issued 2006 en_GB
dc.description.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 ≥ 5 oscillators. en_GB
dc.identifier.citation 96, pp. 054102 en_GB
dc.identifier.doi 10.1103/PhysRevLett.96.054102 en_GB
dc.identifier.uri http://hdl.handle.net/10036/20058 en_GB
dc.language.iso en en_GB
dc.publisher American Physical Society en_GB
dc.relation.url http://link.aps.org/abstract/PRL/v96/e054102 en_GB
dc.subject bifurcation en_GB
dc.subject phase locked oscillators en_GB
dc.subject nonlinear dynamical systems en_GB
dc.title Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators en_GB
dc.type Article en_GB
dc.date.available 2008-03-07T15:07:13Z en_GB
dc.date.available 2011-01-25T10:33:31Z en_US
dc.date.available 2013-03-20T12:37:54Z
dc.identifier.issn 0031-9007 en_GB
dc.identifier.issn 1079-7114 en_GB
dc.description Peter 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.journal Physical Review Letters en_GB


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