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Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time‐Varying Delayed Dynamical Nodes

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Listed:
  • Wei Shao

Abstract

This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time‐varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. Finally, numerical analysis and simulations for two nonlinearly coupled networks which are composed of the time‐delayed Lorenz chaotic systems are given to demonstrate the effectiveness and feasibility of the proposed complex network synchronization scheme.

Suggested Citation

  • Wei Shao, 2014. "Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time‐Varying Delayed Dynamical Nodes," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:649350
    DOI: 10.1155/2014/649350
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    References listed on IDEAS

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    1. Meng Xiao & Weigang Sun & Fangyue Chen, 2013. "Synchronization between Two Discrete-Time Networks with Mutual Couplings," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
    2. Song Zheng, 2014. "Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Synchronization in complex delayed dynamical networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 684-692.
    4. Meng Xiao & Weigang Sun & Fangyue Chen, 2013. "Synchronization between Two Discrete‐Time Networks with Mutual Couplings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Liu, Xian & Wang, Jinzhi & Huang, Lin, 2007. "Global synchronization for a class of dynamical complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 543-556.
    6. Song Zheng, 2014. "Adaptive Impulsive Observer for Outer Synchronization of Delayed Complex Dynamical Networks with Output Coupling," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, April.
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