@inproceedings{40d5f74437b64bf2880b63c26d2b11c0,
title = "Networks of passive oscillators",
abstract = "We present new results on the synthesis of globally stable limit cycles in networks of passive oscillators. These passive oscillators can be represented as a modified multi-input-multi-output (MIMO) Lure' system that is dissipative with respect to a certain supply rate. We use KS multipliers to establish the conditions under which the system undergoes either Hopf bifurcation or a pitchfork bifurcation. Under these conditions the network exhibits oscillations. Our results are applicable to networks of non-identical oscillators so long as the each oscillator is a passive oscillator.",
keywords = "Hopf bifurcation, KS multipliers, Lure' systems, Zames-Falb multipliers, global stability, oscillators, pitchfork bifurcation",
author = "Kulkarni, {Vishwesh V.} and Marc Riedel and Stan, {Guy Bart}",
year = "2011",
doi = "10.1109/Allerton.2011.6120216",
language = "English (US)",
isbn = "9781457718168",
series = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011",
pages = "559--565",
booktitle = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011",
note = "2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 ; Conference date: 28-09-2011 Through 30-09-2011",
}