Frequency adjustment and synchrony in networks of delayed pulse-coupled oscillators

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We introduce a system of pulse-coupled oscillators that can change both their phases and frequencies and prove that when there is a separation of time scales between phase and frequency adjustment the system converges to exact synchrony on strongly connected graphs with time delays. The analysis involves decomposing the network into a forest of tree-like structures that capture causality. These results provide a robust method of sensor net synchronization as well as demonstrate a new avenue of possible pulse-coupled oscillator research.

Original languageEnglish (US)
Article number012916
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume91
Issue number1
DOIs
StatePublished - Jan 21 2015

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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