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Synchronization analysis of delayed complex networks with time-varying couplings

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  • Li, Ping
  • Yi, Zhang

Abstract

In this paper, a new method is presented to analyze the linear stability of the synchronized state in arbitrarily coupled complex dynamical systems with time delays. The coupling configurations are not restricted to the symmetric and irreducible connections or the non-negative off-diagonal links. The stability criteria are obtained by using Lyapunov–Krasovskii functional method and subspace projection method. These criteria reveal the relationship between coupling matrices and stability of the dynamical networks.

Suggested Citation

  • Li, Ping & Yi, Zhang, 2008. "Synchronization analysis of delayed complex networks with time-varying couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3729-3737.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3729-3737
    DOI: 10.1016/j.physa.2008.02.008
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Shi, Lin & Yang, Huilan & Wang, Xin & Zhong, Shouming & Wang, Wenqin, 2018. "Synchronization of complex networks with asymmetric coupling via decomposing matrix method," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 180-185.
    2. Wu, Hao & Jiang, Huijun & Hou, Zhonghuai, 2011. "Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 836-844.
    3. Zhang, Lili & Wang, Yinhe & Huang, Yuanyuan & Chen, Xuesong, 2015. "Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 510-522.
    4. Cheng, Lin & Yang, Yongqing & Li, Li & Sui, Xin, 2018. "Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 273-286.
    5. Liu, Hui & Chen, Juan & Lu, Jun-an & Cao, Ming, 2010. "Generalized synchronization in complex dynamical networks via adaptive couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1759-1770.

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