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Pinning adaptive synchronization of a class of uncertain complex dynamical networks with multi-link against network deterioration

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  • Li, Lixiang
  • Li, Weiwei
  • Kurths, Jürgen
  • Luo, Qun
  • Yang, Yixian
  • Li, Shudong

Abstract

For the reason that the uncertain complex dynamic network with multi-link is quite close to various practical networks, there is superiority in the fields of research and application. In this paper, we focus upon pinning adaptive synchronization for uncertain complex dynamic networks with multi-link against network deterioration. The pinning approach can be applied to adapt uncertain coupling factors of deteriorated networks which can compensate effects of uncertainty. Several new synchronization criterions for networks with multi-link are derived, which ensure the synchronized states to be local or global stable with uncertainty and deterioration. Results of simulation are shown to demonstrate the feasibility and usefulness of our method.

Suggested Citation

  • Li, Lixiang & Li, Weiwei & Kurths, Jürgen & Luo, Qun & Yang, Yixian & Li, Shudong, 2015. "Pinning adaptive synchronization of a class of uncertain complex dynamical networks with multi-link against network deterioration," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 20-34.
    • Handle: RePEc:eee:chsofr:v:72:y:2015:i:c:p:20-34
    DOI: 10.1016/j.chaos.2015.01.005
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    References listed on IDEAS

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    1. Xiang, L.Y. & Liu, Z.X. & Chen, Z.Q. & Chen, F. & Yuan, Z.Z., 2007. "Pinning control of complex dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 298-306.
    2. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    3. Liu, Z.X. & Chen, Z.Q. & Yuan, Z.Z., 2007. "Pinning control of weighted general complex dynamical networks with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 345-354.
    4. Li, Xiang & Chen, Guanrong & Ko, King-Tim, 2004. "Transition to chaos in complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 367-378.
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    Cited by:

    1. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    2. Zhao, Hui & Li, Lixiang & Xiao, Jinghua & Yang, Yixian & Zheng, Mingwen, 2017. "Parameters tracking identification based on finite-time synchronization for multi-links complex network via periodically switch control," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 268-281.

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