Robust convergence in pulse-coupled oscillators with delays

Joel Nishimura, Eric J. Friedman

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


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.

Original languageEnglish (US)
Article number194101
JournalPhysical Review Letters
Issue number19
StatePublished - May 11 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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