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Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model

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  • Yi Zhao
  • Jianwen Feng
  • Jingyi Wang

Abstract

This paper investigates the synchronizability of small-world networks generated from a two-dimensional Kleinberg model, which is more general than NW small-world network. The three parameters of the Kleinberg model, namely, the distance of neighbors, the number of edge-adding, and the edge-adding probability, are analyzed for their impacts on its synchronizability and average path length. It can be deduced that the synchronizability becomes stronger as the edge-adding probability increases, and the increasing edge-adding probability could make the average path length of the Kleinberg small-world network go smaller. Moreover, larger distance among neighbors and more edges to be added could play positive roles in enhancing the synchronizability of the Kleinberg model. The lorentz oscillators are employed to verify the conclusions numerically.

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  • Yi Zhao & Jianwen Feng & Jingyi Wang, 2013. "Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:451960
    DOI: 10.1155/2013/451960
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    Cited by:

    1. Lihong Zhang & Saeed Reza Mohandes & Jiawei Tong & Mohamed Abadi & Saeed Banihashemi & Binchao Deng, 2023. "Sustainable Project Governance: Scientometric Analysis and Emerging Trends," Sustainability, MDPI, vol. 15(3), pages 1-27, January.

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