A Synchronization Metric for Meshed Networks of Pulse-Coupled Oscillators

Alexander Tyrrel; Gunther Auer; Christian Bettstetter

3d International ICST Conference on Bio-Inspired Models of Network, Information, and Computing Systems

Research Article

A Synchronization Metric for Meshed Networks of Pulse-Coupled Oscillators

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@INPROCEEDINGS{10.4108/ICST.BIONETICS2008.4726,
    author={Alexander Tyrrel and Gunther Auer and Christian Bettstetter},
    title={A Synchronization Metric for Meshed Networks of Pulse-Coupled Oscillators},
    proceedings={3d International ICST Conference on Bio-Inspired Models of Network, Information, and Computing Systems},
    publisher={ICST},
    proceedings_a={BIONETICS},
    year={2010},
    month={5},
    keywords={synchronization self-organization biologically-inspired pulse- coupled oscillators delays frequency drift},
    doi={10.4108/ICST.BIONETICS2008.4726}
}

Alexander Tyrrel
Gunther Auer
Christian Bettstetter
Year: 2010
A Synchronization Metric for Meshed Networks of Pulse-Coupled Oscillators
BIONETICS
ICST
DOI: 10.4108/ICST.BIONETICS2008.4726

Alexander Tyrrel¹^,*, Gunther Auer¹^,*, Christian Bettstetter²^,*

1: DOCOMO Euro-Labs, 80687 Munich, Germany.
2: University of Klagenfurt, Mobile Systems Group, 9020 Klagenfurt, Austria.

*Contact email: tyrrel@docomolab-euro.com, auer@docomolab-euro.com, christian.bettstetter@uni-klu.ac.at

Abstract

Natural phenomena such as the synchronization of fre ies, interactions between neurons, and the formation of earth- quakes are commonly described by the mathematical model of pulse-coupled oscillators. This article investigates the be- havior 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 char- acterize 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 delay

Keywords: synchronization self-organization biologically-inspired pulse- coupled oscillators delays frequency drift

Published: 2010-05-16
Publisher: ICST
Modified: 2010-05-16

: http://dx.doi.org/10.4108/ICST.BIONETICS2008.4726