Robust Convergence in Pulse Coupled Oscillators with Delays

TitleRobust Convergence in Pulse Coupled Oscillators with Delays
Publication TypeJournal Article
Year of Publication2011
AuthorsNishimura, J., & Friedman E.
Published inPhysical Review Letters
Other Numbers3190

We show that for pulse-coupled oscillators a class of phase response curves with both excitation and inhibition exhibit robust convergence to synchrony on arbitrary aperiodic connected graphs with delays. We describe the basins of convergence and give explicit bounds on the convergence times. These results provide new and more robust methods for synchronization of sensor nets and also have biological implications.


We thank Bard Ermentrout, Jon Kleinberg, DavidShmoys, Steven Strogatz, and Xiao Wang for useful con-versations and the EECS at UC Berkeley for its hospi-tality. This research has been supported in part by theNSF under grant CDI-0835706.

Bibliographic Notes

Physical Review Letters, Vol. 106, No. 19, DOI:10.1103/PhysRevLett.106.194101

Abbreviated Authors

J. Nishimura and E. Friedman

ICSI Research Group


ICSI Publication Type

Article in journal or magazine