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@inproceedings{Jadbabaie:2005,
author = {Jadbabaie, A and Motee, N and Barahona, M},
pages = {(4296--4301)--(4296--4301)},
title = {On the stability of the Kuramoto model of coupled nonlinear oscillators},
url = {http://hdl.handle.net/10044/1/10373},
year = {2005}
}
TY - CPAPER
AB - We provide an analysis of the classic Kuramoto model of coupled nonlinear oscillators that goes beyond the existing results for all-to-all networks of identical oscillators. Our work is applicable to oscillator networks of arbitrary interconnection topology with uncertain natural frequencies. Using tools from spectral graph theory and control theory, we prove that for couplings above a critical value all the oscillators synchronize, resulting in convergence of all phase differences to a constant value, both in the case of identical natural frequencies as well as uncertain ones. We also provide a series of bounds for the critical values of the coupling strength.
AU - Jadbabaie,A
AU - Motee,N
AU - Barahona,M
EP - 4301
PY - 2005///
SN - 0743-1619
SP - 4296
TI - On the stability of the Kuramoto model of coupled nonlinear oscillators
UR - http://hdl.handle.net/10044/1/10373
ER -