EPIDEMIC SELF-SYNCHRONIZATION IN COMPLEX NETWORKS OF KURAMOTO OSCILLATORS

Ingo Scholtes (), Jean Botev (), Markus Esch () and Peter Sturm ()
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Ingo Scholtes: System Software and Distributed Systems, Department of Computer Science, University of Trier, D-54286 Trier, Germany
Jean Botev: Faculté des Sciences, de la Technologie et de la Communication, University of Luxembourg, L-1359, Luxembourg
Markus Esch: Faculté des Sciences, de la Technologie et de la Communication, University of Luxembourg, L-1359, Luxembourg
Peter Sturm: Systemsoftware and Distributed Systems, Department of Computer Science, University of Trier, D-54286 Trier, Germany

Advances in Complex Systems (ACS), 2010, vol. 13, issue 01, 33-58

Abstract: In this article, we present and evaluate an epidemic scheme for the synchronization of coupled Kuramoto oscillators in communication networks. It addresses the problem of efficiently providing globally synchronous time epochs in complex, dynamic Peer-to-Peer network topologies. Rather than the usual model of continuously coupled nodes, a discretized version with sporadic message-based couplings to nearest neighbors is considered. This article empirically studies the emergence of coherent oscillator states for different network topologies, coupling functions, and sporadic coupling intensities. It further investigates the protocol's minimum bandwidth requirements in small-world network topologies. Synchronization resilience under the effect of random perturbations is studied for two coupling variations. Finally, the potential utilization of the scheme for a local inference of global network topology characteristics is discussed.

Keywords: Nonlinear oscillators; Kuramoto model; complex communication networks (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:13:y:2010:i:01:n:s0219525910002426

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DOI: 10.1142/S0219525910002426

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