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 language | English (US) |
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Article number | 012916 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 91 |
Issue number | 1 |
DOIs | |
State | Published - Jan 21 2015 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics