A synchronization metric for meshed networks of pulse-coupled oscillators

Authors:
Alexander Tyrrell;Gunther Auer;Christian Bettstetter
Affiliations:
DOCOMO Euro-Labs, Munich, Germany;DOCOMO Euro-Labs, Munich, Germany;University of Klagenfurt, Klagenfurt, Austria
Venue:
Proceedings of the 3rd International Conference on Bio-Inspired Models of Network, Information and Computing Sytems
Year:
2008

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Abstract

Natural phenomena such as the synchronization of fireflies, interactions between neurons, and the formation of earthquakes are commonly described by the mathematical model of pulse-coupled oscillators. This article investigates the behavior of this model when oscillators form a meshed network, i.e. nodes are not directly coupled to all others. In order to characterize the synchronization process of populations of coupled oscillators we propose a metric that allows to characterize the level of local synchronization. We demonstrate the merits of the proposed local metric by means of two case studies that examine the effect of imperfections on the synchronization process, namely the presence of frequency drifts and propagation delays.