On synchronization of coupled Hopf-Kuramoto oscillators with phase delays
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Slotine_On synchronization.pdf
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Author(s)
Chung, Soon-Jo
Slotine, Jean-Jacques E.
Date Issued
December 2010
Journal
Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 2010
Publisher
Institute of Electrical and Electronics Engineers
Citation
Chung, Soon-Jo, and Jean-Jacques Slotine. On Synchronization of Coupled Hopf-Kuramoto Oscillators with Phase Delays. In 49th IEEE Conference on Decision and Control (CDC), December 15-17, 2010, Hilton Atlanta Hotel, Atlanta, GA, USA, 3181-3187. Institute of Electrical and Electronics Engineers, 2010. © Copyright 2010 IEEE.
Version
Final published version
Abstract
This paper presents new methods and results on synchronization of coupled Hopf nonlinear oscillators, which are commonly used as the dynamic model of engineered central pattern generators (CPGs). On balanced graphs, any positive coupling gain is proven to induce almost global asymptotic synchronization, and a threshold value for truly global exponential synchronization is also computed. Furthermore, a hierarchical connection between coupled Hopf oscillators and Kuramoto oscillators is identified. Finally, a new result on the synchronization of Kuramoto oscillators with arbitrary time-varying heterogeneous frequencies and delays is derived.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/CDC.2010.5717962
