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On synchronization of coupled Hopf-Kuramoto oscillators with phase delays

Chung, Soon-Jo and Slotine, Jean-Jacques (2010) On synchronization of coupled Hopf-Kuramoto oscillators with phase delays. In: 49th IEEE Conference on Decision and Control (CDC). IEEE Conference on Decision and Control . IEEE , Piscataway, NJ, pp. 3181-3187. ISBN 978-1-4244-7746-3. http://resolver.caltech.edu/CaltechAUTHORS:20161109-075145395

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2010.5717962DOIArticle
http://ieeexplore.ieee.org/document/5717962/PublisherArticle
ORCID:
AuthorORCID
Chung, Soon-Jo0000-0002-6657-3907
Additional Information:© 2010 IEEE. Date Added to IEEE Xplore: 22 February 2011. This work was supported in part by the Air Force Office of Scientific Research (AFOSR).
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Record Number:CaltechAUTHORS:20161109-075145395
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161109-075145395
Official Citation:S. J. Chung and J. J. Slotine, "On synchronization of coupled Hopf-Kuramoto oscillators with phase delays," 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, 2010, pp. 3181-3187. doi: 10.1109/CDC.2010.5717962
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71859
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Nov 2016 18:27
Last Modified:04 Jan 2017 18:50

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