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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2361196
