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Cluster Synchronization of Time‐Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes

Author

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  • Shuguo Wang
  • Hongxing Yao
  • Mingping Sun

Abstract

This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. The controllers are designed based on the community structure of the networks; some sufficient criteria are derived to ensure cluster synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be symmetric, irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

Suggested Citation

  • Shuguo Wang & Hongxing Yao & Mingping Sun, 2012. "Cluster Synchronization of Time‐Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:958405
    DOI: 10.1155/2012/958405
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    References listed on IDEAS

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    1. Liu, Tao & Zhao, Jun & Hill, David J., 2009. "Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1506-1519.
    2. 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.
    3. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Global synchronization in general complex delayed dynamical networks and its applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 729-742.
    4. He, Yong & Wang, Qing-Guo & Zheng, Wei-Xing, 2005. "Global robust stability for delayed neural networks with polytopic type uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1349-1354.
    5. W. L. Lu & B. Liu & T. Chen, 2010. "Cluster synchronization in networks of distinct groups of maps," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(2), pages 257-264, September.
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    Cited by:

    1. Bowen Du & Dianfu Ma, 2013. "H∞‐Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Song Zheng, 2014. "Projective Synchronization Analysis of Drive‐Response Coupled Dynamical Network with Multiple Time‐Varying Delays via Impulsive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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