Robust convergence in pulse-coupled oscillators with delays

Joel Nishimura, Eric J. Friedman

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

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
Volume106
Issue number19
DOIs
StatePublished - May 11 2011
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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