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Effects of the frequency-degree correlation on local synchronization in complex networks

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Abstract

We investigate the effects of the frequency-degree correlation on local synchronization in complex networks with Kuramoto oscillators. We find that a discontinuous synchronization transition occurs in the local patterns for heterogenous networks while for homogenous networks, the local synchronization transition remains continuous. Then, we extend our study to a general frequency-degree correlation case and conclude that the positive correlation does not change the local synchronization patterns while in the case of a negative correlation, the local synchronization transition degenerates to second order. Moreover, the correlation parameter α is verified to have a strong influence on the synchronization level. In particular, smaller |α| results in higher synchronization ability and faster speed to a synchronized state. Our study provides a deeper understanding of the effects of the frequency-degree correlation on network synchronization.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, China

    Shijin Jiang & Wenyi Fang

  2. Laboratory of Mathematics, Information and Behavior, School of Mathematics and Systems Science, Beihang University, Beijing, China

    Shaoting Tang, Sen Pei, Shu Yan & Zhiming Zheng

Authors
  1. Shijin Jiang
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  2. Wenyi Fang
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  3. Shaoting Tang
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  4. Sen Pei
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  5. Shu Yan
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  6. Zhiming Zheng
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Corresponding authors

Correspondence to Shijin Jiang, Shaoting Tang or Zhiming Zheng.

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Jiang, S., Fang, W., Tang, S. et al. Effects of the frequency-degree correlation on local synchronization in complex networks. Journal of the Korean Physical Society 67, 389–394 (2015). https://doi.org/10.3938/jkps.67.389

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  • DOI: https://doi.org/10.3938/jkps.67.389

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