DocumentCode
1757931
Title
Synchronization of Pulse-Coupled Oscillators on (Strongly) Connected Graphs
Author
Nunez, Felipe ; Yongqiang Wang ; Doyle, Francis J.
Author_Institution
Dept. of Electr. & Comput. Eng., Univ. of California, Santa Barbara, Santa Barbara, CA, USA
Volume
60
Issue
6
fYear
2015
fDate
42156
Firstpage
1710
Lastpage
1715
Abstract
The synchronization of pulse-coupled oscillators (PCOs) interacting on general (strongly) connected graphs is addressed. It is shown that the network synchronizes if the phases are contained in an arc of length less than π, for every (strongly) connected interaction topology. Moreover, global synchronization is feasible in the all-to-all, strongly rooted, and connected bidirectional cases. Examples, counter-examples, and numerical simulations are given to illustrate the analytical findings.
Keywords
graph theory; network theory (graphs); oscillations; synchronisation; PCO; connected graph; interaction topology; network synchronization; pulse-coupled oscillator; Couplings; Erbium; Network topology; Oscillators; Storms; Synchronization; Topology; Multi-agent systems; Pulse-coupled oscillators,; networks; pulse-coupled oscillators; synchronization;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2014.2361196
Filename
6914588
Link To Document