Weakly pulse-coupled oscillators: Heterogeneous delays lead to homogeneous phase

This paper studies the effect of heterogenous delays in networks of weakly pulse-coupled identical oscillators. We develop a new framework to study them by constructing a non-delayed phase model that is equivalent to the original one in the continuum limit. Using existing results for nondelayed phase-coupled oscillators we analyze the delayed system and show how its stability properties depend on the delay distribution. In particular, we show that in some scenarios, heterogeneity, i.e. wider delay distribution, can help reach inphase synchronization.

• Type: Journal
• Year: 2010
• Where: CDC
• Authors: Enrique Mallada, Ao Tang
• Keywords: CDC 2010, Control Systems, Delay Distribution, Pulse-coupled Identical Oscillators, Wider Delay Distribution