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Epidemic Self-Synchronization In Complex Networks Of Kuramoto Oscillators

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ingo Scholtes & Jean Botev & Markus Esch & Peter Sturm, 2010. "Epidemic Self-Synchronization In Complex Networks Of Kuramoto Oscillators," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 33-58.
    • Handle: RePEc:wsi:acsxxx:v:13:y:2010:i:01:n:s0219525910002426
    DOI: 10.1142/S0219525910002426
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    1. -, 2000. "Introdução à técnica de planejamento," Copublicaciones, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 1617.
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