Extreme Sensitivity to Detuning for Globally Coupled Phase Oscillators
Ashwin, Peter; Burylko, Oleksandr; Maistrenko, Yuri; et al.Popovych, Oleksandr
Date: 6 February 2006
Journal
Physical Review Letters
Publisher
American Physical Society
Publisher DOI
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, ...
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.
Mathematics and Statistics
Faculty of Environment, Science and Economy
Item views 0
Full item downloads 0