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Robust convergence in pulse-coupled oscillators with delays.

Authors
  • Nishimura, Joel
  • Friedman, Eric J
Type
Published Article
Journal
Physical Review Letters
Publisher
American Physical Society
Publication Date
May 13, 2011
Volume
106
Issue
19
Pages
194101–194101
Identifiers
PMID: 21668162
Source
Medline
License
Unknown

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.

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