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Synchronization of complex networks with asymmetric coupling via decomposing matrix method

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  • Shi, Lin
  • Yang, Huilan
  • Wang, Xin
  • Zhong, Shouming
  • Wang, Wenqin

Abstract

In this paper, the problem concerning synchronization is investigated for complex networks with time delay and asymmetric coupling. By decomposing the asymmetric coupling matrix and employing Lyapunov functional method, sufficient conditions are obtained for synchronization. Finally, two examples are reported to illustrate the effectiveness of some proposed methods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:111:y:2018:i:c:p:180-185
    DOI: 10.1016/j.chaos.2018.04.023
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    References listed on IDEAS

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    1. Liu, Xinzhi & Stechlinski, Peter, 2016. "Hybrid stabilization and synchronization of nonlinear systems with unbounded delays," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 140-161.
    2. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    3. Liu, Xiwei & Chen, Tianping, 2008. "Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4429-4439.
    4. 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.
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    Cited by:

    1. Xu, Yao & Li, Yanzhen & Li, Wenxue, 2019. "Graph-theoretic approach to synchronization of fractional-order coupled systems with time-varying delays via periodically intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 108-118.
    2. Liu, Wanping & Wu, Xiao & Yang, Wu & Zhu, Xiaofei & Zhong, Shouming, 2019. "Modeling cyber rumor spreading over mobile social networks: A compartment approach," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 214-229.

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