IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v13y2010i01ns0219525910002426.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525910002426
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219525910002426?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. -, 2000. "Introdução à técnica de planejamento," Copublicaciones, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 1617.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jian Gao & Jun Li & Yuan Cheng & Shude Shi, 2010. "Impact Of Initial Conditions On New Venture Success: A Longitudinal Study Of New Technology-Based Firms," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 41-56.
    2. Bing Qiu & Huili Tan & Chaoying Zhang & Lingjiang Kong & Muren Liu, 2005. "Cellular Automaton Simulation Of The Escaping Pedestrian Flow In Corridor," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 225-235.
    3. Jim Attridge, 2007. "Innovation Models In The Biopharmaceutical Sector," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 215-243.
    4. Batabyal, Amitrajeet A. & Beladi, Hamid, 2006. "International trade and biological invasions: A queuing theoretic analysis of the prevention problem," European Journal of Operational Research, Elsevier, vol. 170(3), pages 758-770, May.
    5. Mateja Drnovsek & Otmar Zorn & Marjana Martincic, 2008. "Responsible Entrepreneurs: The Network Effects," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 209-231.
    6. Sondes Kacem & Sana El Harbi, 2014. "Leadership, Innovation Among Tunisian ICT SMEs," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 22(03), pages 283-311.
    7. Singh, Lakhwinder & Gill, Anita, 2016. "Emergence of Innovative Manufacturing Firms across Asian Countries," MPRA Paper 71148, University Library of Munich, Germany.
    8. Kienzler, Hanna, 2008. "Debating war-trauma and post-traumatic stress disorder (PTSD) in an interdisciplinary arena," Social Science & Medicine, Elsevier, vol. 67(2), pages 218-227, July.
    9. M. Reza Shaebani & Tamás Unger & János Kertész, 2009. "Generation Of Homogeneous Granular Packings: Contact Dynamics Simulations At Constant Pressure Using Fully Periodic Boundaries," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 847-867.
    10. Hans Van De Vyver, 2005. "An Embedded 5(4) Pair Of Modified Explicit Runge–Kutta Methods For The Numerical Solution Of The Schrödinger Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 879-894.
    11. Giovanni Dosi & Marco Grazzi & Daniele Moschella, 2017. "What do firms know? What do they produce? A new look at the relationship between patenting profiles and patterns of product diversification," Small Business Economics, Springer, vol. 48(2), pages 413-429, February.
    12. Bruno Schoumaker, 2017. "Measuring male fertility rates in developing countries with Demographic and Health Surveys: An assessment of three methods," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 36(28), pages 803-850.
    13. Behague, Dominique & Tawiah, Charlotte & Rosato, Mikey & Some, Télésphore & Morrison, Joanna, 2009. "Evidence-based policy-making: The implications of globally-applicable research for context-specific problem-solving in developing countries," Social Science & Medicine, Elsevier, vol. 69(10), pages 1539-1546, November.
    14. L. E. Araripe & A. Diehl & J. S. Andrade & R. N. Costa Filho, 2005. "Mass Distribution Of A Two-Dimensional Fragmentation Process," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 253-258.
    15. Karsten Peters & Anders Johansson & Audrey Dussutour & Dirk Helbing, 2006. "Analytical And Numerical Investigation Of Ant Behavior Under Crowded Conditions," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 337-352.
    16. Zhisheng Duan & Jinzhi Wang & Lin Huang, 2006. "Some Special Decentralized Control Problems In Continuous-Time Interconnected Systems," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 277-286.
    17. H. Tian & Y. Xue & Y.-F. Wei, 2009. "Influence Of Information On Crowd Dispersion Process," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(07), pages 1001-1010.
    18. Cauley, Jon & Sandler, Todd, 2001. "Agency cost and the crisis of China's SOEs: A comment and further observations," China Economic Review, Elsevier, vol. 12(4), pages 293-297.
    19. Wilton, Robert & DeVerteuil, Geoffrey, 2006. "Spaces of sobriety/sites of power: Examining social model alcohol recovery programs as therapeutic landscapes," Social Science & Medicine, Elsevier, vol. 63(3), pages 649-661, August.
    20. Hua Kuang & Song Tao & Shiqiang Dai & Xingli Li, 2009. "Subconscious Effect On Pedestrian Counter Flow In A Modified Lattice Gas Model With The Variable Transition Probability," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(12), pages 1945-1961.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:acsxxx:v:13:y:2010:i:01:n:s0219525910002426. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.