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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Title: Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators
Author: Ashwin, Peter
Burylko, Oleksandr
Maistrenko, Yuri
Popovych, Oleksandr
Citation: 96, pp. 054102
Publisher: American Physical Society
Journal: Physical Review Letters
Date Issued: 2006
URI: http://hdl.handle.net/10036/20058
DOI: 10.1103/PhysRevLett.96.054102
Links: http://link.aps.org/abstract/PRL/v96/e054102
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.
Type: Article
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."
Keywords: bifurcationphase locked oscillatorsnonlinear dynamical systems
ISSN: 0031-90071079-7114


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