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The Effect of Control Strength on Lag Synchronization of Nonlinear Coupled Complex Networks

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  • Shuguo Wang
  • Hongxing Yao

Abstract

This paper mainly investigates the lag synchronization of nonlinear coupled complex networks using methods that are based on pinning control, where the weight configuration matrix is not necessarily symmetric or irreducible. We change the control strength into a parameter concerning time t, by using the Lyapunov direct method, some sufficient conditions of lag synchronization are obtained. To validate the proposed method, numerical simulation examples are provided to verify the correctness and effectiveness of the proposed scheme.

Suggested Citation

  • Shuguo Wang & Hongxing Yao, 2012. "The Effect of Control Strength on Lag Synchronization of Nonlinear Coupled Complex Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:810364
    DOI: 10.1155/2012/810364
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    References listed on IDEAS

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    1. Yu, Wenwu & Cao, Jinde, 2007. "Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 467-482.
    2. Yang, Yongqing & Cao, Jinde, 2007. "Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 492-502.
    3. 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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    Cited by:

    1. Shih-Yu Li & Cheng-Hsiung Yang & Chin-Teng Lin & Li-Wei Ko & Tien-Ting Chiu, 2013. "Chaotic Motions in the Real Fuzzy Electronic Circuits," Abstract and Applied Analysis, 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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