title: Frequency adjustment and synchrony in networks of delayed pulse-coupled oscillators.
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.
authors: School of Mathematical & Natural Sciences, Arizona State University, Glendale, Arizona 85306, USA.
authors: Joel
authors: J
authors: Nishimura
mesh_terms: D004738:Engineering; D008962:Models, Theoretical; D011336:Probability