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Synchronization in small-world oscillator networks with coupling delays

Author

Listed:
  • Li, Chunguang
  • Xu, Hongbing
  • Liao, Xiaofeng
  • Yu, Juebang

Abstract

In this paper, we investigate synchronization in oscillator networks with small-world (SW) interactions and coupling delays. We derive a stability criterion for the network synchronized state. We show that the stability of the synchronized state is independent of the network topology, that is, the stability of the synchronized state is irrelevant to the number of vertices and the connection-adding probability in SW networks. Numerical examples are presented to demonstrate the correctness of our theoretical result.

Suggested Citation

  • Li, Chunguang & Xu, Hongbing & Liao, Xiaofeng & Yu, Juebang, 2004. "Synchronization in small-world oscillator networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 359-364.
    • Handle: RePEc:eee:phsmap:v:335:y:2004:i:3:p:359-364
    DOI: 10.1016/j.physa.2003.12.037
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    Citations

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    Cited by:

    1. Dai, Yang & Cai, Yunze & Xu, Xiaoming, 2008. "Synchronization criteria for complex dynamical networks with neutral-type coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4673-4682.
    2. Yun Wang, Qing & Rong Chen, Guan & Shao Lu, Qi & Hao, Fei, 2007. "Novel criteria of synchronization stability in complex networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 527-536.
    3. Su, Lei & Shen, Hao, 2015. "Mixed H∞/passive synchronization for complex dynamical networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 931-942.
    4. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    5. Liu, Zengrong & Luo, Jigui, 2006. "From lag synchronization to pattern formation in one-dimensional open flow models," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1198-1205.
    6. Liu, Xingwen & Zhong, Shouming & Zhang, Fengli, 2005. "A stability criterion for HNFDE with non-uniform delays," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1299-1305.

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