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Synchronization transmission of spiral wave and turbulence within the uncertain switching network

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  • Lü, Ling
  • Li, Chengren
  • Li, Gang
  • Bai, Suyuan
  • Gao, Xinyu
  • Zhang, Hanbing

Abstract

We consider the synchronization transmission problem of spiral wave and turbulence within the uncertain switching network. Through constructing reasonably the Lyapunov function of the network, the uncertain switching network not only can transfer synchronously the spiral wave and turbulence originated from the synchronization target, but also the chattering near the synchronization target can be eliminated, which indicates that the synchronization performance of the network is more stable. At the same time, the adaptive laws of the uncertain parameters are designed and the uncertain parameters in the switching network nodes are replaced effectively.

Suggested Citation

  • Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Xinyu & Zhang, Hanbing, 2017. "Synchronization transmission of spiral wave and turbulence within the uncertain switching network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 85-98.
    • Handle: RePEc:eee:phsmap:v:474:y:2017:i:c:p:85-98
    DOI: 10.1016/j.physa.2017.01.067
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    2. Lü, Ling & Chen, Liansong & Bai, Suyuan & Li, Gang, 2016. "A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 314-325.
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    Cited by:

    1. Li, Chengren & Lü, Ling & Chen, Liansong & Hong, Yixuan & Zhou, Shuang & Yang, Yiming, 2018. "Cluster synchronization transmission of different external signals in discrete uncertain network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 238-247.

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